Lemke Oliver and Soundararajan bias for consecutive sums of two squares

DOI10.1007/s00208-021-02307-2OpenAlexW3215219066MaRDI QIDQ2089709

Jeremy Schlitt, Lucile Devin, Chantal David, Jungbae Nam

Publication date: 24 October 2022

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.05048

zbMATH Keywords

distributionHardy-Littlewood conjecturearithmetic progressionsum of two squares

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Distribution of integers in special residue classes (11N69) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

Sums of two squares are strongly biased towards quadratic residues

Uses Software

• Mathematica
• PARI/GP
• SageMath
• MathOverflow

Cites Work

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• THE DISTRIBUTION OF ‐TUPLES OF REDUCED RESIDUES
• The Distribution of Prime Numbers
• The Second-Order Term in the Asymptotic Expansion of B(x)
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• On the frequency of pairs of square-free numbers with a given difference
• Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields
• Primes in short intervals
• Primes in short intervals

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