SMALL SOLUTIONS OF QUADRATIC CONGRUENCES, AND CHARACTER SUMS WITH BINARY QUADRATIC FORMS

DOI10.1112/S0025579315000364zbMath1375.11036arXiv1411.4816OpenAlexW2215013283MaRDI QIDQ2810740

D. R. Heath-Brown

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4816

zbMATH Keywords

character sumsintegral quadratic forms

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Congruences in many variables (11D79) Estimates on character sums (11L40)

Related Items

Asymptotic behavior of small solutions of quadratic congruences in three variables modulo prime powers, Burgess bounds for short character sums evaluated at forms, On superorthogonality

Cites Work

• A note on Burgess's estimate
• Burgess inequality in \(\mathbb F_{p^2}\)
• Burgess’s Bounds for Character Sums
• On Character Sums and Primitive Roots^†
• Cubic forms in sixteen variables
• Small solutions of quadratic congruences
• Small solutions of quadratic congruences, II
• On the Quadratic Character of a Polynomial
• A Note on Character Sums of Binary Quadratic Forms
• On Character Sums and L -Series. II