REPRESENTATIONS OF INTEGERS BY THE BINARY QUADRATIC FORM

DOI10.1017/S1446788715000440zbMath1346.11052OpenAlexW2939080001MaRDI QIDQ2800019

Bumkyu Cho

Publication date: 14 April 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788715000440

zbMATH Keywords

quadratic formsclass field theoryrepresentations of integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Holomorphic modular forms of integral weight (11F11) Class field theory (11R37)

Related Items (3)

On the finiteness of solutions for polynomial-factorial Diophantine equations ⋮ On the number of representations of integers by quadratic forms with congruence conditions ⋮ Integers of the form \(ax^2+bxy+cy^2\)

Cites Work

• Unnamed Item
• Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
• On the representation theory for full decomposable forms
• Class invariants by Shimura's reciprocity law
• Integers of the form \(x^2 + ny^2\)
• Primitive generators of certain class fields
• CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS

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