Explicit class number formulas for Siegel–Weil averages of ternary quadratic forms

DOI10.1090/tran/8814OpenAlexW4310477905MaRDI QIDQ5878206

Srimathi Varadharajan, Daejun Kim, Ben Kane

Publication date: 20 February 2023

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

Full work available at URL: https://arxiv.org/abs/2203.16431

zbMATH Keywords

class numbersternary quadratic formsWatson transformationsSiegel-Weil averages

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Class numbers of quadratic and Hermitian forms (11E41) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Cites Work

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• A generalization of Watson transformation and representations of ternary quadratic forms
• Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids
• An explicit formula for local densities of quadratic forms
• Class numbers of ternary quadratic forms
• Über die analytische Theorie der quadratischen Formen
• Indefinite quadratische Formen und Funktionentheorie. I
• Indefinite quadratische Formen und Funktionentheorie. II
• Finiteness theorems for positive definite 𝑛-regular quadratic forms
• Discriminant Bounds for Spinor Regular Ternary Quadratic Lattices
• Class numbers and representations by ternary quadratic forms with congruence conditions

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