On the quadratic residues and their distribution properties

DOI10.1515/math-2023-0123zbMath1527.11007OpenAlexW4387109559MaRDI QIDQ6083285

Yuanyuan Meng, Xiaoge Liu

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2023-0123

zbMATH Keywords

Gauss sumsquadratic residuesquadratic non-residues

Mathematics Subject Classification ID

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

Cites Work

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• Characterizations of quadratic, cubic, and quartic residue matrices
• On consecutive quadratic non-residues: a conjecture of Issai Schur.
• On distribution properties of cubic residues
• On the fourth-order linear recurrence formula related to classical Gauss sums
• Quadratic residues and non-residues in arithmetic progression
• AN ELEMENTARY PROOF IN THE THEORY OF QUADRATIC RESIDUES
• On the Distribution of Quadratic Residues and Nonresidues Modulo a Prime Number
• Consecutive numbers with the same Legendre symbol
• On the theory of cubic residues and nonresidues
• A note on the least quadratic non-residue of the integer-sequences
• Cubic congruences and sums involving 3k k

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