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
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.
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