Elsevier

Journal of Number Theory

Volume 164, July 2016, Pages 191-207
Journal of Number Theory

Level 16 analogue of Ramanujan's theories of elliptic functions to alternative bases

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Abstract

The analogous theory for level 16 of Ramanujan's theories of elliptic functions to alternative bases is developed by studying the level 16 modular functionh(q)=qj=1(1q16j)2(1q2j)(1qj)2(1q8j).

MSC

primary
11F11
11F20

Keywords

Dedekind's eta function
Eisenstein series
Modular equation
Ramanujan's theories of elliptic functions to alternative bases
Theta functions

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