On the number of representations of integers by quadratic forms with congruence conditions

DOI10.1016/J.JMAA.2017.12.060zbMath1439.11103arXiv1310.6056OpenAlexW2964223279MaRDI QIDQ1754633

Bumkyu Cho

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6056

zbMATH Keywords

quadratic formsmodular formsrepresentation numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Representation problems (11D85)

Related Items (3)

Finiteness theorems for universal sums of squares of almost primes ⋮ Representations of Bell-type quaternary quadratic forms ⋮ Conjectures of Sun about sums of polygonal numbers

Cites Work

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• On some results of Hurwitz and Deutsch about certain quadratic forms
• Sums of three squares under congruence condition modulo a prime
• Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
• Integers of the form \(x^2 + ny^2\)
• On modular forms of half integral weight
• A quaternionic proof of the representation formula of a quaternary quadratic form
• REPRESENTATIONS OF INTEGERS BY THE BINARY QUADRATIC FORM

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