• Corpus ID: 237353076

Congruences for Hasse--Witt matrices and solutions of $p$-adic KZ equations

  title={Congruences for Hasse--Witt matrices and solutions of \$p\$-adic KZ equations},
  author={Alexander Varchenko and 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 padic analytic properties of functions originating from polynomial solutions modulo p of Knizhnik–Zamolodchikov (KZ) equations, solutions which come as coefficients of master polynomials and whose coefficients are integers. As an application we show that the p-adic KZ connection associated with the family of hyperelliptic curves y = (t… 
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