A non-commutative multiple Dirichlet power product and an application

DOI10.1016/j.jnt.2018.11.014zbMath1465.11040OpenAlexW2905539297WikidataQ128739661 ScholiaQ128739661MaRDI QIDQ1729760

Wataru Takeda

Publication date: 28 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.11.014

zbMATH Keywords

Dedekind domainMöbius inversion formulaideal functionDirichlet's convolution

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

• The probability that random algebraic integers are relatively \(r\)-prime
• The probability that \(k\) positive integers are relatively \(r\)-prime
• Visible lattice points and the extended Lindelöf hypothesis
• Multiplicative Arithmetic Functions of Several Variables: A Survey

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