A Voronoi-Oppenheim summation formula for totally real number fields

DOI10.1016/j.jnt.2018.04.008zbMath1425.11185OpenAlexW2807643787MaRDI QIDQ1729745

Ehud Moshe Baruch, Debika Banerjee, Evgeny Tenetov

Publication date: 28 February 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.04.008

zbMATH Keywords

Bessel functionstotally real number fieldsVoronoi summation formuladivisor functions

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Multiplicative number theory (11N99) Totally real fields (11R80)

Related Items (2)

A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Voronoi-type identity for a class of arithmetical functions via the Laplace transform

Cites Work

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• Moments of the Riemann zeta function and Eisenstein series. I
• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• Density results for automorphic forms on Hilbert modular groups
• Bessel identities in the Waldspurger correspondence over the real numbers
• Rankin-Selberg \(L\)-functions in the level aspect.
• Automorphic forms on GL (2)
• Fourier expansion of Eisenstein series on the Hilbert modular group and Hilbert class fields
• The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ
• On the Voronoĭ formula for GL(<i>n</i>)
• Complex analysis. Transl. from the German by Dan Fulea

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