Gaussian phenomena for small quadratic residues and non-residues

DOI10.1090/tran/8853OpenAlexW4308623372MaRDI QIDQ5888967

Unnamed Author, Debmalya Basak, Alexandru Zaharescu

Publication date: 26 April 2023

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

Full work available at URL: https://doi.org/10.1090/tran/8853

zbMATH Keywords

Gaussian distributionsquare-free numbersprimes in short intervalsquadratic residues and non-residues

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Estimates on character sums (11L40) Distribution functions associated with additive and positive multiplicative functions (11N60)

Cites Work

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• The frequency and the structure of large character sums
• A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. Appendix: Recovering modular forms from squares by Dinakar Ramakrishnan
• The least quadratic non residue
• Large character sums
• The Difference Between Consecutive Primes, II
• The distribution of short character sums
• Quadratic non-residues in short intervals
• The distribution of quadratic residues and non‐residues
• Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
• Uniform bounds for the number of solutions to Yⁿ = f(X)
• The Difference Between Consecutive Primes
• The Distribution of Prime Numbers
• Conditional bounds for the least quadratic non-residue and related problems

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