English

Some new series for $1/\pi$ and related congruences

Number Theory 2017-12-27 v9 Classical Analysis and ODEs Combinatorics

Abstract

In this paper we prove some new series for 1/π1/\pi as well as related congruences. We also raise several new kinds of series for 1/π1/\pi and present some related conjectural congruences involving representations of primes by binary quadratic forms.

Keywords

Cite

@article{arxiv.1104.3856,
  title  = {Some new series for $1/\pi$ and related congruences},
  author = {Zhi-Wei Sun},
  journal= {arXiv preprint arXiv:1104.3856},
  year   = {2017}
}

Comments

16 pages, published version