The Chowla-Selberg formula for genera

DOI10.4064/aa-73-3-271-301zbMath0855.11018OpenAlexW1543140638MaRDI QIDQ4871326

Pierre Kaplan, James G. Huard, Kenneth S. Williams

Publication date: 16 February 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206821

zbMATH Keywords

gamma functionclass numberbinary quadratic forms with arbitrary discriminantsChowla-Selberg formula for genera

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Zeta functions and (L)-functions of number fields (11R42) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (9)

Epstein zeta function and Bloch-Wigner dilogarithm ⋮ Genus character L‐functions of quadratic orders and class numbers ⋮ Evaluation of some \(q\)-integrals in terms of the Dedekind eta function ⋮ Derivable quadratic forms and representation numbers ⋮ Integral-fibre for a Chowla-Selberg formula. ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ On gamma quotients and infinite products ⋮ The number of representations of n as a linear combination of triangular numbers ⋮ Theta series associated with certain positive definite binary quadratic forms

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