Asymptotics for the sum of powers of distances between power residues modulo a prime

DOI10.1134/S0081543812010075zbMath1297.11123OpenAlexW1986279035MaRDI QIDQ741974

Moubariz Z. Garaev, Sergei V. Konyagin, Yuri V. Malykhin

Publication date: 17 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812010075

zbMATH Keywords

power residuessum of \(q\)th powers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Power residues, reciprocity (11A15)

Related Items

On small gaps between the elements of multiplicative subgroups of finite fields ⋮ Quadratic non-residues in short intervals ⋮ On the stochasticity parameter of quadratic residues ⋮ On gaps between quadratic non-residues in the Euclidean and Hamming metrics

Cites Work

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• On a question of Davenport and Lewis and new character sum bounds in finite fields
• The distribution of spacings between quadratic residues
• On Character Sums and Primitive Roots^†
• On the Distribution of Quadratic Residues (mod p )
• Weighted character sums
• On the distribution of powers in finite fields.

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