Smooth arithmetical sums over k-free integers

zbMath1482.11128arXiv1912.12289MaRDI QIDQ5155449

Francesco Cellarosi, M. Ram Murty

Publication date: 6 October 2021

Full work available at URL: https://arxiv.org/abs/1912.12289

zbMATH Keywords

Fourier transforms\(k\)-free integersarithmetical sumspartial zeta functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions in probabilistic number theory (11K65)

Cites Work

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• New limiting distributions for the Möbius function
• Sums of nonnegative multiplicative functions over integers without large prime factors II
• Integers free of large prime factors and the Riemann hypothesis
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• A remark on the Lang-Trotter and Artin conjectures
• VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
• Moyennes de certaines fonctions multiplicatives sur les entiers friables, 3
• Moyennes de certaines fonctions multiplicatives sur les entiers friables, 2

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