Applications of heat kernels on abelian groups: ζ(2n), quadratic reciprocity, Bessel integrals

DOI10.1007/978-1-4614-1260-1_14zbMath1269.11001OpenAlexW1532960301MaRDI QIDQ2914173

Anders Karlsson

Publication date: 25 September 2012

Published in: Number Theory, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://archive-ouverte.unige.ch/unige:17265

zbMATH Keywords

Riemann zeta functionfunctional equationtheta functionheat kernelBessel functionsquadratic reciprocity lawGamma functionquadratic Gauss sumPossion summation formula

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Power residues, reciprocity (11A15)

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