Hankel Determinants of Zeta Values
Alan Haynes, Wadim Zudilin
TL;DR
This paper investigates the asymptotic behavior of Hankel determinants formed from zeta function values at arithmetic progression points, revealing new Diophantine implications.
Contribution
It introduces a novel analysis of Hankel determinants of zeta values and derives Diophantine consequences from their asymptotics.
Findings
Asymptotic formulas for Hankel determinants of zeta values
Diophantine applications derived from asymptotic analysis
Insights into the structure of zeta values at arithmetic progressions
Abstract
We study the asymptotics of Hankel determinants constructed using the values of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.
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