The average order of the Möbius function for Beurling primes

DOI10.1142/S1793042120500517zbMath1475.11180arXiv1901.06866MaRDI QIDQ5111924

Ammar Ali Neamah, Titus W. Hilberdink

Publication date: 27 May 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06866

zbMATH Keywords

Möbius functionBeurling's generalized primes

Mathematics Subject Classification ID

Rate of growth of arithmetic functions (11N56) Generalized primes and integers (11N80)

Related Items (3)

Multiplicative functions with sum zero over Beurling generalized prime number systems ⋮ Density estimates for the zeros of the Beurling ζ function in the critical strip ⋮ Completely multiplicative functions with sum zero over generalised prime systems

Cites Work

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• Well-behaved Beurling primes and integers
• Beurling zeta functions, generalised primes, and fractal membranes
• Beurling primes with RH and Beurling primes with large oscillation
• A lower bound for the Lindelöf function associated to generalized integers
• A generalization of Halász's theorem to Beurling's generalized integers and its application
• Completely multiplicative functions of sum zero
• Beurling Generalized Numbers
• Halász's theorem for Beurling generalized numbers
• M(x)=o(x) Estimates for Beurling numbers

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