Über die punktweise Konvergenz von Ramanujan-Entwicklungen zahlentheoretischer Funktionen

DOI10.4064/aa-44-2-109-140zbMath0507.10001OpenAlexW1601955713MaRDI QIDQ4744324

Adolf Hildebrand

Publication date: 1984

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205928

zbMATH Keywords

Ramanujan sumsnumber- theoretic functionspointwise convergence of Ramanujan expansion

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (12)

Remembering Wolfgang Schwarz, His Life and Work ⋮ Mellin transforms and Fourier-Ramanujan expansions ⋮ Ramanujan expansions revisited ⋮ Partial sums of arithmetical functions with absolutely convergent Ramanujan expansions ⋮ Small gaps between primes or almost primes ⋮ On the singular series for primes in arithmetic progressions ⋮ Distribution of averages of Ramanujan sums ⋮ The tail of the singular series for the prime pair and Goldbach problems ⋮ Moments of averages of generalized Ramanujan sums ⋮ On Ramanujan expansions with multiplicative coefficients ⋮ Power series with the von Mangoldt function ⋮ On the error term in a Parseval type formula in the theory of Ramanujan expansions

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