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arXiv · 0709.1968

Apery limits and special values of L-functions

Yifan Yang
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Abstract

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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Yifan Yang. 2007-09-12. Apery limits and special values of L-functions. https://doi.org/10.1016/j.jmaa.2008.01.094

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