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Ramanujan's explicit values for the classical theta‐function
Author(s) -
Berndt Bruce C.,
Chan Heng Huat
Publication year - 1995
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300014595
Subject(s) - ramanujan's sum , citation , mathematics , combinatorics , library science , computer science
where K' = K(k') and k' = y/l-k is the complementary modulus. Thus, an evaluation of any one of the functions \q) [1, p. 102].) In the literature more attention has been devoted to determining 2F\ and K(k). In particular, using the Selberg-Chowla formula, I. J. Zucker [23] evaluated K when K'/K=y/%, when X is a positive integer such that 1