On consecutive quadratic non-residues: a conjecture of Issai Schur.

DOI10.1016/j.jnt.2003.06.003zbMath1049.11006arXivmath/0305298OpenAlexW2009510135WikidataQ123314576 ScholiaQ123314576MaRDI QIDQ1421293

Patrick Hummel

Publication date: 26 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0305298

zbMATH Keywords

quadratic nonresiduesSchur's conjecturedistribution of integers

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Distribution of integers with specified multiplicative constraints (11N25) Power residues, reciprocity (11A15)

Related Items (12)

Consecutive quadratic residues and primitive roots in the sequences formed by twice-differentiable functions ⋮ Four consecutive primitive elementsin a finite field ⋮ A Generalization of the Goresky--Klapper Conjecture, Part I ⋮ Simple arguments on consecutive power residues ⋮ On the quadratic residues and their distribution properties ⋮ Irreducible nonmetrizable path systems in graphs ⋮ Consecutive quadratic residues in Beatty sequences ⋮ On cubic residues and related problems ⋮ On perfect polynomials over \(\mathbb{F}_p\) with \(p\) irreducible factors ⋮ On the constant in Burgess' bound for the number of consecutive residues or non-residues ⋮ On the sixth residues and some new properties of their distribution ⋮ A Generalization of the Goresky–Klapper Conjecture, Part II

Cites Work

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• On sequences of consecutive quadratic nonresidues
• On a conjecture of Issai Schur.
• A Note on the Distribution of Residues and Non-Residues

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