Asymptotic behavior of small solutions of quadratic congruences in three variables modulo prime powers

DOI10.1007/s40993-022-00360-7zbMath1501.11083arXiv2202.06759OpenAlexW4291006679WikidataQ114217985 ScholiaQ114217985MaRDI QIDQ2164885

Stephan Baier, Anup Haldar

Publication date: 18 August 2022

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

Full work available at URL: https://arxiv.org/abs/2202.06759

zbMATH Keywords

quadratic congruencesDiophantine equationsPoisson summationevaluation of complete exponential sumsparametrization of points

Mathematics Subject Classification ID

Exponential sums (11T23) Estimates on character sums (11L40) Well-distributed sequences and other variations (11K36)

Cites Work

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• Small solutions of quadratic congruences
• Small solutions of quadratic congruences and small fractional parts of quadratic forms
• Exponential sums with rational function entries
• On representing the multiple of a number by a quadratic form
• Small solutions of quadratic congruences, II
• Counting solutions of quadratic congruences in several variables revisited

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