Quadratic residues and class numbers

DOI10.7169/facm/2012.47.2.4zbMath1315.11005OpenAlexW2054123317MaRDI QIDQ1944652

Peter Schmid, Markus Köcher, Wolfgang D. Knapp

Publication date: 26 March 2013

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1356012914

zbMATH Keywords

primesquadratic formsclass numbersquadratic residuesSiegel-Tatuzawa

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Class numbers of quadratic and Hermitian forms (11E41) Power residues, reciprocity (11A15) Primes (11A41)

Cites Work

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• The least prime quadratic residue and the class number
• The proof of a conjecture of additive number theory
• Sur les restes et les non-restes quadratiques suivant un module premier
• Elementary methods in the theory of L-functions, VI. On the least prime quadratic residue (mod p)
• Real zeros of real odd Dirichlet $L$-functions
• Class numbers of imaginary quadratic fields
• Über die Classenzahl quadratischer Zahlkörper

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