On Ramanujan expansions and primes in arithmetic progressions

DOI10.1007/S12188-024-00282-4MaRDI QIDQ6656689

Maurizio Laporta

Publication date: 3 January 2025

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

primes in arithmetic progressionstwin primesRamanujan expansionDelange's theorem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Distribution of primes (11N05)

Cites Work

• A class of residue systems \(\pmod r\) and related arithmetical functions. I: A generalization of Möbius inversion. II: Higher dimensional analogues
• Representations of even functions \(\pmod r\). II: Cauchy products
• Introduction to arithmetical functions
• Some problems of Partitio numerorum. III: On the expression of a number as a sum of primes.
• Finite Ramanujan expansions and shifted convolution sums of arithmetical functions. II.
• On Ramanujan expansions of certain arithmetical functions
• Menon-type identities concerning Dirichlet characters
• An elementary property of correlations
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