Quadratic residues and non-residues in arithmetic progression

DOI10.1016/j.jnt.2013.01.004zbMath1328.11032arXiv1111.2236OpenAlexW2951976269MaRDI QIDQ2444502

Steve Wright

Publication date: 9 April 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2236

zbMATH Keywords

asymptotic approximationarithmetic progressionquadratic residueWeyl sumquadratic non-residue

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Estimates on character sums (11L40) Arithmetic progressions (11B25) Power residues, reciprocity (11A15)

Related Items (7)

On distribution properties of cubic residues ⋮ Communication Lower Bounds via Critical Block Sensitivity ⋮ On the quadratic residues and their distribution properties ⋮ On cubic residues and related problems ⋮ Unnamed Item ⋮ Quadratic residues and non-residues in arithmetic progression ⋮ On the sixth residues and some new properties of their distribution

Cites Work

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• The odd and even intersection properties
• On runs of consecutive quadratic residues and quadratic nonresidues
• Patterns of quadratic residues and nonresidues for infinitely many primes
• Quadratic residues and the combinatorics of sign multiplication
• On the first occurrence of certain patterns of quadratic residues and non-residues
• Equations over finite fields. An elementary approach
• Quadratic residues and non-residues in arithmetic progression
• The distribution of quadratic residues and non‐residues
• On Character Sums and Primitive Roots^†
• A Note on the Distribution of Residues and Non-Residues

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