Yong Zhang

most citedThree supercongruences for Apery numbers or Franel numbers

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NT2021★ 1 cited

Three supercongruences for Apery numbers or Franel numbers

Yong Zhang

The Apéry numbers $A_{n}$ and the Franel numbers $f_{n}$ are defined by $$A_n=\sum_{k=0}^{n}{\binom{n+k}{2k}}^2{\binom{2k}{k}}^2\ \ \ \ \ {\rm and }\ \ \ \ \ \ f_n=\sum_{k=0}^{n}{\bino…

math.CO2019

$p$ -adic supercongruences conjectured by Sun

Yong Zhang

In this paper we prove three results conjectured by Z.-W. Sun. Let $p$ be an odd prime and let $h \in Z$ with $2 h - 1 \equiv 0 (mod p)$ . For $a \in Z^{+}$ and $p^{a} > 3$ …

Three supercongruences for Apery numbers or Franel numbers

p-adic supercongruences conjectured by Sun

$p$ -adic supercongruences conjectured by Sun