Quadratic non-residues in short intervals

DOI10.1090/S0002-9939-2015-12584-1zbMath1378.11012arXiv1311.7016OpenAlexW2075284427MaRDI QIDQ2944777

Sergei V. Konyagin, Igor E. Shparlinski

Publication date: 8 September 2015

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

Full work available at URL: https://arxiv.org/abs/1311.7016

zbMATH Keywords

character sumsquadratic non-residues

Mathematics Subject Classification ID

Estimates on character sums (11L40) Power residues, reciprocity (11A15)

Related Items (5)

Gaussian phenomena for small quadratic residues and non-residues ⋮ Finding elliptic curves with a subgroup of prescribed size ⋮ Small discriminants of complex multiplication fields of elliptic curves over finite fields ⋮ Signatures of Dirichlet characters and elliptic curves ⋮ Dynamical irreducibility of polynomials modulo primes

Cites Work

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• On gaps between quadratic non-residues in the Euclidean and Hamming metrics
• Asymptotics for the sum of powers of distances between power residues modulo a prime
• The distribution of quadratic residues and non‐residues
• On Gaps Between Squarefree Numbers II
• ON THE DISTRIBUTION OF r-TUPLES OF SQUAREFREE NUMBERS IN SHORT INTERVALS

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