Hecke-Siegel's pull-back formula for the Epstein zeta function with a harmonic polynomial

DOI10.1016/j.jnt.2007.08.010zbMath1174.11071OpenAlexW1967406518MaRDI QIDQ958656

Takayuki Oda, Kazuki Hiroe

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.08.010

zbMATH Keywords

Eisenstein seriesEpstein zeta functionsHecke integration formula

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41)

Related Items (4)

The relative Hecke integral formula for an arbitrary extension of number fields ⋮ Generalized Whittaker functions for degenerate principal series of \(\mathrm{GL}(n, \mathbb{R})\) ⋮ On periodicity of geodesic continued fractions ⋮ Hecke’s Integral Formula for Relative Quadratic Extensions of Algebraic Number Fields

Cites Work

• On the functional equations satisfied by Eisenstein series
• Spectral decomposition and Eisenstein series
• Eisenstein group cocycles for \(\text{GL}_ n\) and values of \(L\)- functions
• Über die Werte der Ringklassen-L-Funktionen reell-quadratischer Zahlkörper an natürlichen Argumentstellen
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Hecke L-Functions and the Distribution of Totally Positive Integers
• Hecke’s Integral Formula for Relative Quadratic Extensions of Algebraic Number Fields
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