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

Abstract

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

16 pages, published version

References in corpus (2)

• Open Conjectures on Congruences
• Some supercongruences modulo $p^2$

Cited by in corpus (2)

• Proof of some conjectured formulas for 1/pi by Z.-W. Sun
• Proof of Sun's conjecture on the divisibility of certain binomial sums