Representation of prime powers in arithmetical progressions by binary quadratic forms.

DOI10.5802/jtnb.393zbMath1048.11030OpenAlexW2326540008MaRDI QIDQ1424576

Franz Halter-Koch

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_141_0

zbMATH Keywords

quadratic formsarithmetic progressionsgenus theory

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Class field theory (11R37) General binary quadratic forms (11E16)

Related Items (2)

Diagonal odd-regular ternary quadratic forms ⋮ Well lacunary series and modular forms of weight one

Cites Work

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• A theorem of Ramanujan concerning binary quadratic forms
• Representation of primes in arithmetic progression by binary quadratic forms
• A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
• Representation of primes by binary quadratic forms of discriminant –256q and –128q
• Geschlechtertheorie der Ringklassenkörper.

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