Classically integral quadratic forms excepting at most two values

DOI10.1090/proc/13891zbMath1404.11038arXiv1608.01656OpenAlexW2964158559WikidataQ129772284 ScholiaQ129772284MaRDI QIDQ4577142

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Publication date: 17 July 2018

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

Full work available at URL: https://arxiv.org/abs/1608.01656

zbMATH Keywords

positive definite integral quadratic formsquaternary quadratic formsrepresented integerscritical integers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12)

Related Items (4)

Everything You Wanted To Know About ax²+by²+cz²+dt² But Were Afraid To Ask ⋮ Quadratic forms representing large integers only ⋮ Integers represented by positive-definite quadratic forms and Petersson inner products ⋮ Quadratic forms representing all integers coprime to 3

Uses Software

• Magma
• SageMath

Cites Work

• Almost-universal quadratic forms: an effective solution of a problem of Ramanujan
• The Magma algebra system. I: The user language
• La conjecture de Weil. I
• Local densities and explicit bounds for representability by a quadratic form
• Quadratic Forms Representing All Odd Positive Integers
• The Unknown Technology in Homer
• Lectures on P-Adic L-Functions. (AM-74)
• An almost universal form
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