Doriana Bisan: Partitions and elliptic functions.
Diplom thesis, Ferrara 1992.
Original title: Partizioni e funzioni ellittiche.
ALGEBRA OF PARTITIONS

Formal power series
Infinite sums and infinite products of formal power series
Partitions of a number
Pentagonal numbers and recursion formula for p(n)
Lambert series

ELLIPTIC FUNCTIONS

Meromorphic functions
Entire functions and the product theorem of Weierstraß
The theorem of Mittag-Leffler
Periods of meromorphic functions
General properties of elliptic functions
The Weierstraß p-function

THETA FUNCTIONS

Fourier series of a simply periodic entire function
The four theta functions
Representation of the theta functions as infinite products
Identity of Rogers-Ramanujan


REFERENCES