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math.NT2021
Congruences for Hasse--Witt matrices and solutions of -adic KZ equations
Alexander Varchenko, Wadim Zudilin
We prove general Dwork-type congruences for Hasse--Witt matrices attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and -adic analytic pr…
math.NT2021
Ghosts and congruences for -approximations of hypergeometric periods
Alexander Varchenko, Wadim Zudilin
We prove general Dwork-type congruences for constant terms attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and -adic analytic properti…