23803 Mark Ablowitz/Sarbarish Chakravarty/Heekyoung Hahn: Integrable systems and modular forms of level 2. Internet 2006, 16p. 1755 P. Alexandrov (ed.): Die Hilbertschen Probleme. Leipzig 1983. 4976 Anatoli Andrianov: Quadratic forms and Hecke operators. Springer 1987, 370 p. DM 198. A self-contained and well written book about a very difficult field. 8371 Anatoli Andrianov: Harmonic theta functions and Hecke operators. Internet 1996, 32p. 3268 T. Apostol: Modular functions and Dirichlet series in number theory. Springer 1990. A. Atkin/J. Lehner: Hecke operators on G0(m). Math. Annalen 185 (1970), 134-160. 8375 A. Beardon: The geometry of discrete groups. 3530 Harvey, 47-72. 5677 T. Bedford/Michael Keane/Caroline Series (ed.): Ergodic theory, symbolic dynamics, and hyperbolic spaces. Oxford UP 1991, 400p. Pds. 12 (for the paperback edition). A very beautiful book, which contains the lectures fo a 1989 workshop at the ICTP in Trieste. 6944 Rolf Berndt: On automorphic forms for the Jacobi group. Jahrb. DMV 97 (1995), 1-18. 9823 Rolf Berndt: Bruno Schoeneberg 1906-1995. Jber. DMV 99 (1997), 83-89. J. Bernstein/S. Gelbart (ed.): An introduction to the Langlands program. Birkhäuser 2003, 280p. Eur 48. Armand Borel: Automorphic forms on SL(2,R). Cambridge UP 1997, 190p. 0-521-58049-8. Pds. 33. 8368 Hel Braun: Konvergenz verallgemeinerter Eisensteinscher Reihen. Math. Zeit. 44 (1938), 387-397. 8449 Barry Brent: Congruences for meromorphic modular forms. Internet, ca. 1996, 21p. 22471 Benjamin Brubaker/Daniel Bump/Solomon Friedberg: Eisenstein series, crystals, and ice. Notices AMS 58/11 (2011), 1563-1571. Roelof Bruggeman: Fourier coefficients of cusp forms. Inv. Math. 45 (1978), 1-18. 3613 Roelof Bruggeman: Fourier coefficients of automorphic forms. SLN Math. 865 (1981). Roelof Bruggeman: Modular forms of varying weight I-III. Math. Zeitschr. 190 (1985), 477-495, Math. Zeitschr. 192 (1986), 297-328, J. reine/angew. Math. 371 (1986), 144-190. Roelof Bruggeman: Eisenstein series and the distribution of Dedekind sums. Math. Zeitschr. 202 (1989), 181-198. Roelof Bruggeman: Dedekind sums and Fourier coefficients of modular forms. J. Number Theory 36 (1990), 289-321. Roelof Bruggeman: Families of automorphic forms. Birkha''user 1994, 340p. 3-7643-5046-6. DM 138. Roelof Bruggeman: Dedekind sums for Hecke groups. Acta Arithm. 71 (1995), 11-46. 8364 Roelof Bruggeman: Automorphic forms, hyperfunction cohomology, and period functions. Internet 1996, 35p. Roelof Bruggeman/R. Mistello: Estimates of Kloosterman sums for groups of real rank one. Duke Math. J. 80 (1995), 105-137. 17929 Daniel Bump: Automorphic forms and representations. Cambridge UP 1998, 570p. Eur 48. Daniel Bump/Stephen Gelbart/Joseph Bernstein: An introduction to the Langlands program. Birkhäuser 2003, 290p. $35. Rolf Busam/Eberhard Freitag/W. Karcher: Ein Ring elliptischer Modulformen. Arch. Math. 59 (1992), 157-164. 23156 Rolf Busam/Eberhard Freitag: Hans Maaß. Jber. DMV 101 (1999), 135-150. 17806 Frank Calegari: Review of the book "A first course in modular forms" by Diamond/Shurman. Bull. AMS 43/3 (2006), 415-421. P. Casson-Nogues/M. Taylor: Elliptic functions and rings of integers. Birkhaeuser 1986, 200p. DM 70. 3431 S.P. Chan: Modular functions, elliptic functions, and Galois module structure. J. reine u. angew. Math. 375 (1987), 67-82. [3568] 3547 Ulrich Christian: Selberg's Zeta-, L-, and Eisensteinseries. SLN Math. 1030 (1983). 20177 James Cogdell/Henry Kim/M. Murty: Lectures on automorphic L-functions. AMS 2004, 280p. Eur 63. "This book is a wonderful introduction to the Langlands program." (EMS Newsletter) Henri Cohen: Sommes de carres, fonctions L et formes modulaires. CRAS Paris 277 (1973), 827-830. Henri Cohen: Sums involving the values at negative integers of L-functions of quadratic characters. Math. Annalen 217 (1975), 271-285. Henri Cohen: Variations sur un theme de Siegel et Hecke. Acta Arithm. 30 (1976), 63-93. Henri Cohen/J. Oesterle': Dimensions des espaces de formes modulaires. SLN Math. 627 (1976), 69-78. 27330 Henri Cohen/Fredrik Strömberg: Modular forms - a classical approach. AMS 2017, 700p. Eur 82. 3367 Harvey Cohn: Approach to Markoff's minimal forms through modular 8346 Harvey Cohn: Representation of Markoff's binary quadratic forms by geodesics on a perforated torus. Acta Arithm. 18 (1971), 125-136. functions. Annals Math. 61 (1955), 1-12. [3568] 8347 Harvey Cohn: Markoff forms and primitive words. Math. Ann. 196 (1972), 8-22. F. Cole: Klein's ikosaeder. Am. J. Math. 9 (1887), 45-61. 8341 Robert Coleman: Classical and overconvergent modular forms of higher level. J. Th. Nombres Bordeaux 7 (1995), 151-163. 8339 Robert Coleman: p-adic Banach spaces and families of modular forms. Inv. Math. ... (ca. 1996), ... 24833 Keith Conrad: SL(2,Z). Internet, 12p. 26979 Atish Dabholkar/Sameer Murthy/Don Zagier: Quantum black holes, wall crossing and mock modular forms. Arxiv 1208.4074 (2014), 153p. 26327 Henri Darmon: Review of the book "A first course in modular forms" by F. Diamond and J. Shurman. MR 2112196 (2006f:11045), 3p. 22414 Anton Deitmar: Automorphe Formen. Springer 2010, 250p. Eur 27. 22738 Anton Deitmar: Korrekturen zum Buch "Automorphe Formen". Internet 2010, 8p. 3153 Anton Deitmar/Aloys Krieg: Theta correspondence for Eisenstein series. Math. Zt. 208 (1991), 273-288. [3568] 3609 Pierre Deligne/W. Kuijk (ed.): Modular functions of one variable II. SLN 349 (1986). 26338 Fred Diamond/John Im: Modular forms and modular curves. Can. MS Conf. Proc. 17 (1995), 39-133. 20181 Fred Diamond/Jerry Shurman: A first course in modular forms. Springer 2005, 440p. Eur 49. 3368 K. Doi/H. Naganuma: On the algebraic curves uniformized by arithmetical automorphic functions. Annals Math. 86 (1967), 449-460. [3568] 24331 William Duke: Continued fractions and modular functions. Bull. AMS 42/2 (2005), 137-162. Martin Eichler: Quaternaere quadratische Formen und die Riemannsche Vermutung fuer die Kongruenzzetafunktion. Arch. Math. 5 (1954), 355-366. Martin Eichler: Modular correspondences and their representations. J. Indian Math. Soc. 20 (1956), 163-206. Martin Eichler: Quadratische Formen und Modulfunktionen. Acta Arithm. 4 (1958), 217-239. Martin Eichler/Don Zagier: The theory of Jacobi forms. Birkhaeuser 1985, 160p. 3-7643-3180-1. DM 46. Juergen Elstrodt: Eine Charakterisierung der Eisenstein-Reihe zur Siegelschen Modulgruppe. Math. Ann. 268 (1984), 473-474. 3385 Juergen Elstrodt/Fritz Grunewald/Jens Mennicke: Eisenstein series on the three-dimensional hyperbolic space and imaginary quadratic number fields. J. reine u. angew. Math. 361 (1985), 160-213. [3568] 3533 A. Eskin/Z. Rudnick/P. Sarnack: A proof of Siegel's weight formula. Int. Math. Res. Notes 5 (1991), 65-69. [3568] S. Fischler/E. Gaudron/S. Khemira (ed.): Formes modulaires et transcendance. SMF 2005, 270p. Eur 41. "This is a carefully written introduction to the (very few) existing results on transcendence and algebraic independence of values of modular forms ..." (EMS Newsletter) 8470 Lester Ford: Automorphic functions. Chelsea 1951. Eberhard Freitag: Hilbert modular forms. Springer 1990, 240p. 3-540-50586-5. DM 98. 3584 Eberhard Freitag: Singular modular forms and theta relations. SLN Math. 1487 (1991). 1758 Eberhard Freitag: Siegelsche Modulfunktionen. Springer 1983. 8360 Eberhard Freitag/Rolf Busam: Funktionentheorie. Springer 1993, 490p. 3-540-50618-7. DM 48. Edward Frenkel: Recent advances in the Langlands program. Bull. AMS 41 (2004), 151-184. R. Fricke: Zur gruppentheoretischen Grundlegung der automorphen Funktionen. Math. Ann. 42 (1893), 564-597. 21747 Robert Fricke/Felix Klein: Vorlesungen über die Theorie der automorphen Funktionen. 2 volumes. 7358 Paul Garrett: Factorization of unitary representations of adele groups. Internet 1995, 11p. 7359 Paul Garrett: Automorphic representations and L-functions. Internet 1995, 11p. 7360 Paul Garrett: Smooth representations of totally disconnected groups. Internet 1995, 37p. 8340 Bert van Geemen/Jaap Top: Modular forms on GL(3) and Galois representations. Internet 1996, 13p. 5760 Bert van Geemen/Duco van Straaten: The cusp forms of weight 3 on ... Math. Comp. 61 (1993), 849-872. 3484 S. Gelbart: An elementary introduction to the Langlands program. Bull. AMS 10 (1984), 177-219. [3568] S. Gelbart: Automorphic forms on adele groups. Princeton UP 1975. S. Gelbart: Automorphic forms, representations, and L-functions. AMS 1979. S. Gelbart/Shahidi: Analytic properties of automorphic L-functions. Academic Press 1988, 140p. 0-12-279175-4. Pds. 18. Dorian Goldfeld: Automorphic forms and L-functions for the group GL(n,R). Cambridge UP 2006, 510p. $90. Gouvea: Arithmetic of p-adic modular forms. Springer LN Math. 1304 (1988), 120p. 3-540-18946-7. DM 23. 18023 Benedict Gross/Mark Reeder: From Laplace to Langlands via representations of orthogonal groups. Bull. AMS 43/2 (2006), 163-2005. 3562 H. Grundman: Defects of cusp singularities and the classification of Hilbert modular treefolds. Math. Ann. 292 (1992), 1-12. [3568] 3401 K. Gundlach: Die Berechnung von Multiplikatorsystemen zu Hilbertschen Modulgruppen. Nachr. Ak. Wiss. Goettingen 1988/7. [3568] 3260 Robert Gunning: Lectures on modular forms. Princeton UP 1962. 19212 Michael Harris: Review of the book "Introduction to the Langlands program" by Bernstein/Gelbart. Bull. AMS 41/2 (2004), 257-266. 3530 W. Harvey (ed.): Discrete groups and automorphic functions. Academic Press 1977. 1940 Erich Hecke: Analysis und Zahlentheorie. Vieweg 1987. 3507 Erich Hecke: Lectures on Dirichlet series, modular functions, and quadratic forms. Vandenhoeck & Ruprecht 1983. Erich Hecke: Ueber die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung. Math. Ann. 112 (1936), 664-669. Erich Hecke: Ueber die Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung I-II. Math. Annalen 114 (1937), 1-28, 316-351. Gustav Arnold Hedlund: The dynamics of geodesic flows. Bull. AMS 45 (1939), 241-260. Gustav Arnold Hedlund: A new proof for a metrically transitive system. Am. J. Math. 62 (1940), 233-242. K. Heegner: Transformierbare automoprhe Funktionen und quadratische Formen I-II. Math. Zeitschr. 43 (1937), 162-204, 321-352. 26332 Yves Hellegouarch: Invitation aux mathematiques de Fermat-Wiles. Dunod 2009, 380p. Eur 40. 3532 Carl Friedrich Hermann: Die Nullstellen der Thetareihen zu positiven, binaer-quadratischen Formen. Man. Math. 74 (1992), 107-115. [3568] Haruzo Hida: p-adic automorphic forms on Shimura varieties. Springer 2004, 390p. Haruzo Hida: Hilbert modular forms and Iwasawa theory. Oxford UP 2006, 400p. $125. Friedrich Hirzebruch/Thomas Berger/Rainer Jung: Manifolds and modular forms. Vieweg 1992, 210p. 3-528-06414-5. DM 68. 3505 John Im: Special values of Dirichlet series attached to Hilbert modular forms. Am. J. Math. 113 (1991), 975-1017. [3568] Henryk Iwaniec: Spectral methods of automorphic forms. AMS 2002, 220p. Pds. 33. Henryk Iwaniec: Topics in classial automorphic forms. AMS 1997, 260p. $36. Jaquet: Automorphic forms on GL(2). Springer LN Math. 278 (1972). 3-540-05931-8. DM 22. 19768 Vladimir Kisil: Starting with the group SL2(R). Notices AMS December 2007, 1458-1465. Yoshiyuki Kitaoka: Lectures on Siegel modular forms and representations by quadratic forms. Springer 1986, 230p. 3-540-16472-3. DM 20. 26328 Werner Kleinert: Review of the book "A first course in modular forms" by F. Diamond and J. Shurman. ZB 1062.11022. 3508 Helmut Klingen: Introductory lectures on Siegel modular forms. Cambridge UP 1990. M. Knopp: Modular functions in analytic number theory. Markham 1970. 1875 Neal Koblitz: Introduction to elliptic curves and modular forms. Springer 1984. Max Koecher: Zur Theorie der Modulformen n-ten Grades I-II. Math. Zeitschr. 59 (1954), 399-403, Math. Zeitschr. 61 (1955), 455-466. 18261 Max Koecher/Aloys Krieg: Elliptische Funktionen und Modulformen. Springer 1998, 290p. Eur 65. Günter Köhler: Eta products and theta series identities. Springer 2011, 620p. Eur 90. "... a most valuable addition to the literature on modular forms ..." (Zblatt) 3099 Juerg Kramer: A geometrical approach to the theory of Jacobi forms. Comp. Math. 79 (1991), 1-19. [3568] 3263 A. Krieg: A Dirichlet seires for modular forms of degree n. Acta Arithm. 59 (1991), 243-259. [3568] 3424 Jing-hua Kuang: On the basis problem for Siegel-Hilbert modular forms. Bull. AMS 25 (1991), 61-67. [3568] Stephen Kudla/Michael Rapoport/Tonghai Yang: Modular forms and special cycles on Shimura curves. Princeton UP 2006. $45. 3608 Willem Kuijk (ed.): Modular functions of one variable I. SLN Math. 320 (1986). 3610 Willem Kuijk/Jean-Pierre Serre (ed.): Modular functions of one variable III. SLN Math. 350 (1986). 3504 Ravi Kulkarni: An arithmetic-geometric method in the study of the subgroups of the modular group. Am. J. Math. 113 (1991), 1053-1133. [3568] 3603 Serge Lang: Introduction to modular forms. Springer 1976. 3334 Robert Langlands: Base change for GL(2). Princeton UP 1980. 3474 Robert Langlands: Some contemporary problems with origins in the Jugendtraum. Proc. Symp. Pure Math. 28 (1976), 401-418. [3568] 19175 Robert Langlands: Review of the book "p-adic automorphic forms on Shimura varieties" by H. Hida. Bull. AMS 44/2 (2007), 291-308. G. Laumon: Cohomology of Drinfeld modular varieties. 2 volumes. Cambridge UP 1996, 340+370p. Pds. 40+40. Part I: Geometry, counting of points and local harmonic analysis. Part II: Automorphic forms, trace formulas and Langlands correspondence. "Dieses vorzügliche und (vor allem für Darstellungs- und Zahlentheoretiker) willkommene Buch von höchstem mathematischen Niveau gibt eine Einführung in die Kohomologie der Drinfeldmoduln (einer Verallgemeinerung von Shimuravarietäten für Funktionenkörper statt Zahlkörper) ... " (Harald Rindler). 23759 Peter Lax/Ralph Phillips: Scattering theory for automorphic functions. Bull. AMS 2/2 (1980), 261-296. Joseph Lehner: The Fourier coefficients of automorphic forms belonging to a class of horocyclic groups. Mich. Math. J. 4 (195/), 265-279. Josef Lehner: The Fourier coefficients of automorphic forms on horocyclic groups II-III. Mich. Math. J. 6 (1959), 173-193, Mich. Math. J. 7 (1960), 65-74. 3585 Joseph Lehner: Discontinuous groups and automorphic functions. AMS 1964. 8376 Joseph Lehner: Automorphic forms. 3530 Harvey, 73-120. Wen-Ching Li: Number theory with applications. World Scientific 1996, 230p. 9-810-22226-2. Pds. 39. From finite fields to Hecke operators and Ramanujan graphs. Wen-Ching Li: Character sums and abelian Ramanujan graphs. J. Number theory 41 (1992), 199-217. H. Maass: Modular functions of one complex variable. Springer 1983. 2818 George Mackey: Unitary group representations in physics, probability, and number theory. Benjamin 1978. 3551 M. Manickam/B. Ramakrishnan/T. Vasudevan: Diagonalising modular forms of half-integral weight. J. Number th. 40 (1992), 32-37. [3568] 21610 Matilde Marcolli: Nichtkommutative Geometrie und Zahlentheorie. Internet 2004, 6p. 3093 Barry Mazur: Number theory as gadfly. Am. Math. Monthly 98 (1991), 593-610. 3454 James Milne: The conjecture of Langlands and Rapoport for Siegel modular varieties. Bull. AMS 24 (1991), 335-341. [3568] 22677 James Milne: Modular functions and modular forms. Internet 2009, 130p. 3269 Toshitsune Miyake: Modular forms. Springer 1989. C. Moeglin/J.-L. Waldspurger: Decomposition spectrale et series d'Eisenstein. Birkhaeuser 1993, 360p. 3-7643-2938-6. 27307 Julia Müller: On the genesis of Robert P. Langland's conjectures and his letter to Andre' Weil. Bull. AMS ... (2018), 36p. Murakami: On automorphisms of Siegel domains. Springer LN Math. 286 (1972). 3-540-05985-7. DM 18. 26939 Erhard Neher: Jacobis Tripelproduktidentität und eta-Identitäten in der Theorie affiner Liealgebren. Jber. DMV 87 (1985), 164-181. Morris Newman: Structure theorems for modular subgroups. Duke Math. J. 22 (1955), 25-32. Morris Newman: The structure of some subgroups of the modular group. Ill. J. Math. 6 (1962), 480-487. Morris Newman: Classification of normal subgroups of the modular group. Trans. AMS 126 (1967), 267-277. 8351 Morris Newman: Integral matrices. Academic Press 1973. J. Oesterle': Nouvelles approches du theoreme de Fermat. Asterisque 161-162 (1988), 165-186. Explains the link between Fermat's problem and the associated elliptic curve introduced by Hellegouarch and Frey. The proofs make essential use of the arithmetic theory of modular forms. A. Ogg: Modular forms and Dirichlet series. Benjamin 1969. Gives in great detail the correspondence between modular forms and Dirichlet series having appropriate functional equations, as well as an excellent presentation of the theory of theta series with spherical polynomial coefficients. 1888 A. Ogg: Diophantine equations and modular forms. Bull. AMS 81 (1975), 14-27. 8246 Hans Opolka: Theta functions and communication theory. Internet 1996, 67p. 3597 Alexei Panchishkin: Non-archimedean L-functions of Siegel and Hilbert modular forms. SLN Math. 1471 (1991). Hans Petersson: Theorie der automorphen Formen beliebiger reeller Dimension und ihre Darstellung durch eine neue Art Poincarescher Reihen. Math. Ann. 103 (1930), 369-436. Hans Petersson: Ueber die Entwicklungskoeffizienten der automorphen Formen. Acta Math. 58 (1932), 169-215. Hans Petersson: Ueber eine Metrisierung der ganzen Modulformen. Jber. DMV 49 (1939), 49-75. Hans Petersson: Ueber eine Metrisierung der automorphen Formen und die Theorie der Poincareschen Reihen. Math. Ann. 117 (1940), 453-537. Hans Petersson: Ueber Modulfunktionen und Partitionenprobleme. Abh. Deutsch. Ak. Wiss. Berlin 1954/2, 59p. 1757 Hans Petersson: Modulfunktionen und quadratische Formen. Springer 1982. Henri Poincare': Les fonctions fuchsiennes et l'arithemtique. J. Math. 4 (1887), 405-464. Klaus Pommerening/Eberhard Freitag: Reguläre Differentialformen des Körpers der Siegelschen Modulfunktionen. J. reine u. angew. Math. 331 (1982), 207-220. Hans Rademacher: The Fourier coefficients of the modular invariant J(\tau). Am. J. Math. 60 (1938), 501-512. Hans Rademacher: The Fourier series and the functional equation of the absolute modular invariant J(\tau). Am. J. Math. 61 (1939), 237-248, corr. Am. J. Math. 64 (1942), 456. Hans Rademacher/H. Zuckerman: On the Fourier coefficients of certain modular forms of positive dimension. Ann. Math. 39 (1938), 433-462. 4844 S. Raghavan/Rainer Weissauer: Estimates for Fourier coefficients of cusp forms. 335 Dodson/Vickers, 87-102. 1975 K. Ramanathan: Ramanujan's modular equation. Acta Arithm. 53 (1990), 403-420. [3323] R. Rankin: Contributions to the theory of Ramanujan's function t(n) and similar arithmetical functions I-II. Proc. Cambridge Phil. Soc. 35 (...), 351-372. R. Rankin: An W-result for the coefficients of cusp forms. Math. Annalen 203 (1973), 239-250. 8384 R. Rankin: Hecke operators, oldforms and newforms. 3530 Harvey, 363-375. R. Rankin: Modular forms and functions. Cambridge UP 1977. 20401 Michael Rapoport: Laudatio für Ngo Bao Chau. Mitt. DMV 16/2 (2008), 85-88. The vietnamese mathematician has given a proof of the long standing fundamental lemma conjecture of Langlands and Shelstad. Kenneth Ribet: On l-adic representations attached to modular forms. Inv. Math. (1975), 245-275. Jürgen Rohlfs: Algebraic numbers and tori. Springer 2005. 4715 Peter Sarnak: Some applications of modular forms. Cambridge UP 1990. Some very interesting and rather unusual applications of modular forms to measure theory and graphs theory. 18910 Nils Scheithauer: Lie algebras and automorphic forms. EMS Newsletter September 2006, 19-21. 3543 Bruno Schoeneberg: Elliptic modular functions. Springer 1974. 892 Bruno Schoeneberg: Erich Hecke 1887-1947. Jber. DMV 91 (1989), 168-190. A. Scholl: Motives for modular forms. Inv. Math. 100 (1990), 419-430. 25899 A. Scholl: Modular forms and algebraic K-theory. Internet ca. 1992, 13p. Caroline Series: On coding geodesics with continuous fractions. Ens. Math. 29 (1980), 67-76. 3361 Caroline Series: The geometry of Markoff numbers. Math. Intell. 7/3 (1985), 20-29. [3568] 3366 Caroline Series: The modular surface and continued fractions. J. London Math. Soc. 31 (1985), 69-80. [3568] 1912 Jean-Pierre Serre: A course in arithmetic. Springer 1973. Gives among other things a very clear (but brief) introduction to the theory of Hecke operators and to the applications of theta series to the arithmetic of quadratic forms. Jean-Pierre Serre/Don Zagier (ed.): Modular functions of one variable VI. SLN Math. 627 (1977). Goro Shimura: On the zeta functions of the algebraic curves uniformized by certain automorphic functions. J. Math. Soc. Japan 13 (1961), 275-331. Goro Shimura: Construction of class fields and zeta functions of algebraic curves. Math. Ann. 85 (1967), 58-159. Goro Shimura: Discontinuous groups and abelian varieties. Math. Ann. 168 (1967), 171-199. 3270 Goro Shimura: Automorphic functions and number theory. SLN Math. 54 (1968). [3568] 3492 Goro Shimura: Introduction to the arithmetic theory of automorphic functions. Princeton UP 1971. Goro Shimura: Class fields over real quadratic fields and Hecke operators. Annals Math. 95 (1972), 130-190. Goro Shimura: On modular forms of half-integral weight. Annals Math. 97 (1973), 440-481. 5353 Goro Shimura: Modular forms of half integral weight. 3608 Kuijk, 57-74. 20179 Goro Shimura: Introduction to the arithmetic theory of automorphic functions. Princeton UP 1994, 270p. Eur 51. Carl Ludwig Siegel: Ueber die analytische Theorie der quadratischen Formen. Ann. Math. 36 (1935), ... 1765 Carl Ludwig Siegel: Topics in complex function theory. 3 volumes. Wiley 1969. 20167 William Stein: Modular forms, a computational approach. AMS 2007, 270p. Eur 54. 8385 H. Swinnerton-Dyer: Arithmetic groups. 3530 Harvey, 377-401. J. Thompson: Some numerology between the Fischer-Gries monster and the elliptic modular function. Bull. London Math. Soc. 11 (1979), 352-353. 3468 P. Todorov: Generalisation d'une formule de Ramanujan. Mitt. Math. Ges. Hamburg 12 (1991), 491-493. [3568] 3282 J. Tunnell: A classical diophantine problem and modular forms of weight 3/2. Inv. Math. 72 (1983), 323-334. [3568] A. Venkov: Spectral theory of automorphic functions and its applications. Kluwer 1990, 175p. Dfl. 160. This theory is often called Selberg theory. Rather sketchy proofs. A useful book, however, which gives a good insight in this rapidly evolving field. 8432 Giulio Vivanti: Elementi della teoria delle funzioni poliedriche e modulari. Hoepli 1906. S. Vladut: Kronecker's Jugendtraum and modular functions. Gordon and Breach 1991, 410p. 2-88124-754-7. $90. An excellent introduction to modular functions in number theory, and easy to read. 3523 D. Wallace: Terms in the Selberg trace formula for SL(3,Z)\SL(3,R)/SO(3,R) associated to Eisenstein series coming from a minimal parabolic subgroup. Trans. AMS 327 (1991),781-793. [3568] Andre' Weil: Jacobi sums as Groessencharaktere. Trans. AMS 73 (1952), 487-495. 4813 Rainer Weissauer: Stabile Modulformen und Eisensteinreihen. SLN Math. 1219 (1986). K. Wohlfahrt: An extension of F. Klein's level concept. Ill. J. Math. 8 (1964), 529-535. 5203 Don Zagier: Modular points, modular curves, modular surfaces, and modular forms. SLN Math. 1111 (1985), 225-248. 4804 Don Zagier: Introduction to modular forms. 4740 Waldschmidt, 238-291. 5560 H. Zimmer: Review of the book "Modular functions and Dirichlet series in number theory" by Tom Apostol. Jber. DMV 94 (1992), B 35-36. 26636 Marc Christian Zimmermann: Räume von Modulformen und ihre Anwendungen auf dual-extremale Gitter. Diplomarbeit TU Dortmund 2012, 95p. H. Zuckerman: On the expansions of certain modular forms of positive dimension. Am. J. Math. 62 (1940), 127-152. H. Zuckerman: On the coefficients of certain modular forms belonging to subgroups of the modular group. Trans. AMS 45 (1939), 298-321.