Patterns of quadratic residues and nonresidues for infinitely many primes

DOI10.1016/j.jnt.2006.06.003zbMath1111.11003OpenAlexW2092222265MaRDI QIDQ868902

Steve Wright

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.06.003

zbMATH Keywords

quadratic residues

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Distribution of integers in special residue classes (11N69) Power residues, reciprocity (11A15)

Related Items (9)

Quadratic residue pattern and the Galois group of ℚ(√𝕒₁,√𝕒₂,…√𝕒_{𝕟}) ⋮ Non primitive roots with a prescribed residue pattern ⋮ Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes ⋮ Quadratic residues and non-residues in arithmetic progression ⋮ A note on the \(d\)th power residue symbol of \(\mathbb F_q[t\)] ⋮ Quadratic residues and the combinatorics of sign multiplication ⋮ On the exact degree of ℚ(√𝕒₁,√𝕒₂,…,√𝕒_{ℓ}) over ℚ ⋮ Sum of two repdigits a square ⋮ Residue pattern for infinitely many primes

Cites Work

• On runs of consecutive quadratic residues and quadratic nonresidues
• On the first occurrence of certain patterns of quadratic residues and non-residues
• The distribution of quadratic residues and non‐residues
• On Character Sums and Primitive Roots^†
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