On a conjecture of Hecke concerning elementary class number formulas

DOI10.1007/BF01303855zbMath0259.12006WikidataQ123299603 ScholiaQ123299603MaRDI QIDQ2560279

Larry Joel Goldstein

Publication date: 1973

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154167

zbMATH Keywords

Hilbert modular groupKronecker limit formulanon-analytic Eisenstein seriesconjecture of Heckeelementary formularatio of class numbers

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Totally real fields (11R80)

Related Items (2)

Applications of the theory of modular forms to number theory ⋮ On a function analogous to log η(τ)

Cites Work

• On Kronecker's limit formula in a totally imaginary quadratic field over a totally real algebraic number field
• On a Certain Function Analogous to log|η(z)|
• A simple proof of η(— 1/τ)= η(τ)√τ/i
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