A Kronecker limit formula for totally real fields and arithmetic applications

DOI10.1007/s40993-015-0009-3zbMath1378.11096OpenAlexW2186773260WikidataQ59411733 ScholiaQ59411733MaRDI QIDQ680042

Sheng-Chi Liu, Riad Masri

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1007/s40993-015-0009-3

zbMATH Keywords

transcendenceKronecker limit formulaHeegner cyclemaximal parabolic Eisenstein series

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Totally real fields (11R80)

Related Items (5)

The relative Hecke integral formula for an arbitrary extension of number fields ⋮ On Kronecker terms over global function fields ⋮ A Kronecker limit formula for indefinite zeta functions ⋮ Extended higher Herglotz functions. I: Functional equations ⋮ On Fourier coefficients of elliptic modular forms \(\bmod\ell\) with applications to Siegel modular forms

Cites Work

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• On a GL(3) analog of \(|{} \eta{} (z)|\)
• Genus fields of real biquadratic fields
• Ratios of regulators in totally real extensions of number fields
• A Global Approach to the Rankin-Selberg Convolution for GL(3, Z)
• Bessel Series Expansions of the Epstein Zeta Function and the Functional Equation
• Automorphic Forms and L-Functions for the GroupGL(n, R)

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