Estimates for representation numbers of binary quadratic forms and Apollonian circle packings

DOI10.1016/j.jnt.2020.03.005zbMath1454.11176OpenAlexW3021193322WikidataQ114157199 ScholiaQ114157199MaRDI QIDQ2187138

Radu Toma

Publication date: 2 June 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.03.005

zbMATH Keywords

quadratic formsApollonian circle packingsnon-fundamental discriminantsproper representations

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Class numbers of quadratic and Hermitian forms (11E41) Rate of growth of arithmetic functions (11N56) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) General binary quadratic forms (11E16)

Related Items (1)

Moments of ideal class counting functions

Cites Work

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• Estimates for representation numbers of quadratic forms
• Apollonian circle packings: Number theory
• A proof of the positive density conjecture for integer Apollonian circle packings
• Counting problems in Apollonian packings
• On the number of representations of n by ax²+bxy+cy²

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