Small solutions of quadratic congruences

DOI10.1017/S0017089500006091zbMath0581.10008OpenAlexW1970459814MaRDI QIDQ3703950

D. R. Heath-Brown

Publication date: 1985

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500006091

zbMATH Keywords

quadratic formapplication of Poisson's summation formulasmallest non-zero solution of congruence

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Representation problems (11D85) Quadratic forms over local rings and fields (11E08)

Related Items (15)

Random congruences ⋮ On small zeros of quadratic forms over finite fields (II) ⋮ Small zeros of quadratic congruences modulo pq ⋮ Asymptotic behavior of small solutions of quadratic congruences in three variables modulo prime powers ⋮ On small zeros of quadratic forms over finite fields ⋮ Small solutions to a given quadratic form with a variable modulus ⋮ Small solutions of the congruencea 1 x 1 2 +a 2 x 2 2 +a 3 x 3 2 +a 4 x 4 2 ≡c(modp) ⋮ A reciprocity formula for quadratic forms ⋮ Small solutions of quadratic congruences, II ⋮ SMALL SOLUTIONS OF QUADRATIC CONGRUENCES, AND CHARACTER SUMS WITH BINARY QUADRATIC FORMS ⋮ Small primitive zeros of quadratic forms mod \(p^m\) ⋮ Small zeros of quadratic forms modulo \(p\). III ⋮ Small zeros of quadratic forms modulo \(p\). ⋮ An identity involving quadratic characters ⋮ Small zeros of quadratic forms mod $P^{2}$

Cites Work

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