Apery limits and special values of L-functions

Details Apery limits and special values of L-functions Apery limits and special values of L-functions

2007-09-12

arxiv.org/abs/0709.1968v1

Mathematics

Number Theory

24 pages

Scientific paper

We describe a general method to determine the Apery limits of a differential
equation that have a modular-function origin. As a by-product of our analysis,
we discover a family of identities involving the special values of L-functions
associated with modular forms. The proof of these identities is independent of
differential equations and Apery limits.

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