A. Baker/W. M. Schmidt: ...
[On Hausdorff dimension for approximations by algebraic numbers.]
Proc. London Math. Soc. 21 (1970), 1-11.

R. Baker: Diophantine inequalities. Oxford UP 1986, 275p. Pds. 47.

21277 Alexander Barvinok: Lattice points, polyhedra, and complexity.
Internet 2004, 43p.

21288 Alexander Barvinok: Integer points in polyhedra. EMS 2008, 190p. Eur 72.

V. Bernik/M. Dodson: Metric diophantine approximation on manifolds.
Cambridge UP 1999, 170p. Pds. 28.

Enrico Bombieri/J. Vaaler: On Siegel's lemma. 
Inv. Math. 73 (1983), 11-32.

25645 Yann Bugeaud: Distribution modulo one and diophantine approximation.
Cambridge UP 2012, 300p. Eur 51.

E. Burger: Exploring the number jungle - a journey into diophantine analysis.
AMS 2000, 150p. $20. "... an excellent survey of diophantine analysis."
(EMS Newsletter)

L. Carlitz: Diophantine approximation in fields of characteristic p.
Trans. AMS 72 (1952), 187-208.

24314 John Cassels: An introduction to diophantine approximation.
Cambridge UP 2008, 170p. Eur 25.

Nicolas Chevallier: Distances dans la suite des multiples d'un point
du tore a' deux dimensions. Acta Arithm. 74 (1996), 47-59.

9743 Nicolas Chevallier: Meilleurs approximations d'un element du tore
T^2 et geometrie de la suite des multiples de cet element.
Acta Arithm. 78 (1996), 19-35.

21007 Karma Dajani/Cor Kraaikamp: Ergodic theory of numbers.
MAA 2002, 190p. Eur 39.

4834 S. Dani: On badly approximable numbers, Schmidt games, and bounded 
orbits of flows. 335 Dodson/Vickers, 69-86.

H. Davenport/K. Roth: Rational approximations to algebraic numbers.
Mathematika 2 (1955), 160-167.

23670 Manfred Einsiedler/Thomas Ward: Ergodic theory with a view towards
number theory. Springer 2010, 480p. Eur 65 (Ebook).

P. Fatou: Sur l'approximation des incommensurables et les series
trigonometriques. CR Ac. Sci. Paris 139 (1904), 1019-1021.

M. Fujiwara: Bemerkung zur Theorie der Approximation der irrationalen
Zahlen durch rationale Zahlen.
Tohoku J. 11 (1917), ..., 14 (1918), ...

850 Harry Furstenberg: Recurrence in ergodic theory and combinatorial number 
theory. Princeton UP 1981.

25038 Alexander Gorodnik/Amos Nevo: Quantitative ergodic theorems and their
number-theoretic applications. Bull. AMS ... (2014), 49p.

J. Grace: The classification of rational approximations.
Proc. London Math. Soc. 17 (1918), 247-258.

A. Haight: A linear set of infinite measure with no two points having
integral ratio. Mathematika 17 (1970), 133-138.

Glyn Harman: Metric number theory.
Cambridge UP 1998, 320p. 0-19-850083-1. Pds. 65.
"Das vorliegende Buch wird fu''r dieses Gebiet sicherlich ein Standardwerk
der na''chsten Jahre sein." (F. Schweiger)

7406 Edmund Hlawka/Robert Tichy (ed.): Number-theoretic analysis.
SLN Math. 1452 (1990).

Pei-chu Hu/Chung-chun Yang: Value distribution theory related to number theory.
Birkhäuser 2006, 560p. Eur 98.

Pei-chu Hu/Chung-chun Yang: Distribution theory of algebraic numbers.
De Gruyter 2009, 530p. $175.

S. Ito: On Legendre's theorem related to diophantine approximations.
Sem. Th. Nombres Bordeaux ... (1987/88), exp. 44, 44-01-44-19.

S. Ito/H. Nakada: On natural extensions of transformations related to
diophantine approximations. Proc. Conf. Number Theory and Comb.,
Japan 1984, World Scientific 1985, 185-207.

Hendrik Jager/C. Kraaikamp: On the approximation by continued fractions.
Indag. Math. 51 (1989), 289-307.

1902 J. Koksma: Diophantische Approximationen. Springer 1936.

Jeffrey Lagarias: Some new results in simultaneous diophantine
approximation. In Ribenboim 1980, 453-474.

Jeffrey Lagarias: Best simultaneous diophantine approximations I.
Growth rates of best approximations denominators.
Trans. AMS 272 (1982), 545-554.

Jeffrey Lagarias: Best simultaneous approximations II. Behaviour of
consecutive best approximations. Pacific J. Math. 102 (1982), 61-88.

Jeffrey Lagarias: The computational complexity of simultaneous
diophantine approximations problems. SIAM J. Comp. 14 (1985), 196-209.

Jeffrey Lagarias: Geodesic multidimensional continued fractions.
Proc. London Math. Soc. 69 (1994), 464-488.

1886 Serge Lang: Transcendental numbers and diophantine approximations.
Bull. AMS 77 (1971), 635-677.

Serge Lang: Introduction to diophantine approximation.
Springer 1995, 120p. 3-540-94456-7. DM 58.

7410 Gerhard Larcher: An inequality with applications in diophantine
approximation. In 7406 Hlawka/, 132-138.

C. Lekkerkerker: Lattice points in unbounded point sets.
Indag. Math. 20 (1958), 197-205.

7227 Yves Meyer: Algebraic numbers and harmonic analysis. North-Holland 1972.

Maurice Mignotte: Verification of a conjecture of E. Thomas.
J. Number th. 44 (1993), 172-177. 

1996 H. Minkowski: Diophantische Approximationen. Chelsea 1957.

L. Mordell: Rational quadrilaterals. 
J. London Math. Soc. 35 (1960), 277-282.

Julia Mueller: The abc-inequality and the generalized Fermat equation in 
function fields. Acta Arithm. 64 (1993), 7-18.       

20969 Ivan Niven: Diophantine approximations. Dover 2008, 70p. Eur 7.

A. Ostrowski: Bemerkungen zur Theorie der diophantischen Approximationen.
Abh. Math. Sem. Hamburg 1 (1922), 77-98.

4839 S. Patterson: Metric diophantine approximation of quadratic forms.
335 Dodson/Vickers, 37-48.

4590 Oskar Perron: Irrationalzahlen. De Gruyter 1947.

P. Philippon (ed.): Diophantine approximations and transcendental numbers.
De Gruyter 1992, 300p. DM 278. This field is changing its language now quite 
rapidly!

Paulo Ribenboim: Proc. Queen's Number Theory Conf. 1979.
Queen's Papers Pure and Appl. Math. 54 (1980).

K. F. Roth: On a problem of Heilbronn II-III.
Proc. London Math. Soc. 25 (1972), 193-212, 543-549.

Hans Peter Schlickewei: Multiplicities of algebraic linerar recurrences.
Acta Math. 170 (1993), 151-180. 

Wolfgang Schmidt: Disproof of some conjectures on diophantine approximation.
Studia Sci. Math. Hung. 4 (1969), 137-144.

Wolfgang Schmidt: Simultaneous approximation to algebraic numbers by
rationals. Acta Math. 125 (1970), 189-201.

Wolfgang Schmidt: On a problem of Heilbronn.
J. London Math. Soc. 4 (19719, 545-550.

7405 Wolfgang Schmidt: Diophantine approximation.
SLN Math. 785 (1980), 300p. 3-540-09762-7. DM 35.

3595 Wolfgang Schmidt: Diophantine approximations and diophantine equations. 
SLN Math. 1467 (1991). 3-540-54058-X. DM 54.

18340 Wolfgang Schmidt: Diophantine approximation by algebraic hypersurfaces
and varieties. Trans. AMS ... (ca. 2006), ...

R. Schoof: Catalan's conjecture. Springer 2008, 310p. Eur 40.

4840 Caroline Series: Symbolic dynamics and diophantine equations.
335 Dodson/Vickers, 49-68.

7624 Vera Sos: On the theory of diophantine approximations.
Acta Math. 8 (1957), 461-471.

V. Sprindzhuk: Metric theory of diophantine approximations. Winston 1979.

21213 Manuel Stadlbauer: Metrische Zahlentheorie und dynamische Systeme.
Internet 2006, 63p.

26129 Jörn Steuding: Diophantine analysis. Internet 2003, 79p.

G. Szekeres/Vera Sos: Rational approximation vectors.
Acta Arithm. 49 (1988), 255-261.

E. Szemeredi: On a problem of W. Schmidt.
Studia Sci. Math. Hung. 6 (1971), 287-288.

26171 Terence Tao: A remark on the lonely runner conjecture. Internet May 2015, 6p.

R. Vaughan: Diophantine approximation by prime numbers I-III.
Proc. LMS 28 (1974), 373-384, 385-401, 33 (1976), 177-192.

William Veech: Strict ergodicity in zero-dimensional dynamical systems and
the Kronecker-Weyl theorem mod 2. Trans. AMS 140 (1969), 1-33.

1737 Paul Vojta: Diophantine approximations and value distribution theory.
SLN Math. 1239 (1987).

23710 Michel Waldschmidt: Open diophantine problems.
Moscow Math. J. 4/1 (2004), 245-305.

2048 N. Watt: A problem on square roots of integers. 
Periodica Math. Hung. 21 (1990), 55-64. [3323]

1938 Gisbert Wuestholz (ed.): Diophantine approximation and transcendence 
theory. SLN Math. 1290 (1987).

7915 Gisbert Wuestholz: Ausgewaehlte Kapitel aus Zahlentheorie und Geometrie.
Internet 1996, 37p.