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- W4288092511 abstract "In this paper, we confirm several conjectures posed by Sun recently; for example, we prove that for any odd prime $p$ we have $$ sum_{k=0}^{p-1}A_kequivbegin{cases}4x^2-2ppmod{p^2}quad&text{if $p=x^2+2y^2 (x,yinmathbb{Z})$}, 0pmod{p^2}quad&text{if $pequiv5,7pmod{8}$},end{cases} $$ where $A_n:=sum_{k=0}^nbinom{n+k}{k}^2binom{n}{k}^2$ are the Ap'{e}ry numbers." @default.
- W4288092511 created "2022-07-28" @default.
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- W4288092511 date "2019-10-15" @default.
- W4288092511 modified "2023-09-28" @default.
- W4288092511 title "$p$-adic analogues of hypergeometric identities and their applications" @default.
- W4288092511 doi "https://doi.org/10.48550/arxiv.1910.06856" @default.
- W4288092511 hasPublicationYear "2019" @default.
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