Hankel determinants of zeta values

TY - JOUR

T1 - Hankel determinants of zeta values

AU - Haynes, Alan

AU - Zudilin, Wadim

PY - 2015/12/17

Y1 - 2015/12/17

N2 - We study the asymptotics of Hankel determinants constructed using the values ς(an + b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.

AB - We study the asymptotics of Hankel determinants constructed using the values ς(an + b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the asymptotics.

KW - Hankel determinant

KW - Irrationality

KW - Zeta value

UR - http://www.scopus.com/inward/record.url?scp=84950974716&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2015.101

DO - 10.3842/SIGMA.2015.101

M3 - Article

AN - SCOPUS:84950974716

SN - 1815-0659

VL - 11

JO - Symmetry integrability and geometry-Methods and applications

JF - Symmetry integrability and geometry-Methods and applications

M1 - 101

ER -