Small solutions of congruences

DOI10.1112/S0025579300010512zbMath0532.10011OpenAlexW2150856897MaRDI QIDQ5896222

Roger C. Baker

Publication date: 1983

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300010512

zbMATH Keywords

multiple exponential sumsfractional partdiagonal formsdiophantine inequalitieshigher degree formssmall solutions of congruences

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40) Diophantine inequalities (11D75) Distribution modulo one (11J71)

Related Items (8)

Random congruences ⋮ SOLUTIONS TO DIAGONAL CONGRUENCES WITH VARIABLES RESTRICTED TO A BOX ⋮ Counting points in a small box on varieties ⋮ Small fractional parts of polynomials ⋮ Small solutions of diagonal congruences ⋮ The Distribution of Solutions to Equations Over Finite Fields ⋮ Exponential sums, the geometry of hyperplane sections, and some diophantine problems ⋮ Cauchy-Davenport Theorem for abelian groups and diagonal congruences

Cites Work

• Unnamed Item
• Equations over finite fields. An elementary approach
• La conjecture de Weil. I
• Small fractional parts of quadratic forms
• Small Zeros of Additive Forms in Many Variables

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