English

Apery limits and special values of L-functions

Number Theory 2015-05-13 v1

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.

Keywords

Cite

@article{arxiv.0709.1968,
  title  = {Apery limits and special values of L-functions},
  author = {Yifan Yang},
  journal= {arXiv preprint arXiv:0709.1968},
  year   = {2015}
}

Comments

24 pages

R2 v1 2026-06-21T09:16:58.779Z