On short products of primes in arithmetic progressions

DOI10.1090/proc/14289zbMath1456.11179arXiv1705.06087OpenAlexW2615567715MaRDI QIDQ4644698

Igor E. Shparlinski

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/1705.06087

zbMATH Keywords

primesexponential sumssieve methodresidue classes

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25) Arithmetic progressions (11B25)

Related Items (7)

Multiplicative functions in short arithmetic progressions ⋮ On the existence of products of primes in arithmetic progressions ⋮ Bilinear forms in Weyl sums for modular square roots and applications ⋮ On smooth square‐free numbers in arithmetic progressions ⋮ Product of an integer free of small prime factors and prime in arithmetic progression ⋮ On products of primes and square-free integers in arithmetic progressions ⋮ On products of primes and almost primes in arithmetic progressions

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• Products of primes in arithmetic progressions: a footnote in parity breaking

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