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arXiv 1306.5811math.NTmath.AG
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关于Laurent多项式幂的常数项的Dwork同余

Dwork's congruences for the constant terms of powers of a Laurent polynomial

Anton Mellit, Masha Vlasenko

摘要:

证明了Laurent多项式的幂的常数项满足模素幂的某些同余式。作为推论,这些数的生成级数被认为是p-adic变量的函数,满足非平凡的解析延拓性质,类似于B。一类超几何级数的Dwork证明。

英文摘要:

We prove that the constant terms of powers of a Laurent polynomial satisfy certain congruences modulo prime powers. As a corollary, the generating series of these numbers considered as a function of a p-adic variable satisfies a non-trivial analytic continuation property, similar to what B. Dwork showed for a class of hypergeometric series.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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