Small prime $k$th power residues for $k=2,3,4$: A reciprocity laws approach

DOI10.1090/proc/14290zbMath1454.11008arXiv1711.01706OpenAlexW2964092280WikidataQ114849143 ScholiaQ114849143MaRDI QIDQ4644699

Paul Pollack, Kübra Benli

Publication date: 8 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01706

zbMATH Keywords

reciprocity lawpower residues

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Power residues, reciprocity (11A15)

Related Items (3)

Product of three primes in large arithmetic progressions ⋮ Bilinear forms in Weyl sums for modular square roots and applications ⋮ Small prime 𝑘th power residues

Uses Software

• MathOverflow

Cites Work

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• Sur les restes et les non-restes cubiques
• Supplements to the theory of quartic residues
• Bounds for the first several prime character nonresidues
• Corrigendum to \lq\lq Conditional bounds for the least quadratic non-residue and related problems\rq\rq
• On the theory of cubic residues and nonresidues
• Explicit bounds for primes in residue classes
• Conditional bounds for the least quadratic non-residue and related problems
• The Least Prime K -th-Power Residue

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