Multiple arithmetic functions in function fields

DOI10.1007/s40993-021-00247-zzbMath1484.11007OpenAlexW3134527445MaRDI QIDQ2020001

Yoshinori Hamahata

Publication date: 23 April 2021

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

Full work available at URL: https://doi.org/10.1007/s40993-021-00247-z

zbMATH Keywords

Dirichlet seriesarithmetic functionDirichlet productABC theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic functions; related numbers; inversion formulas (11A25) Higher degree equations; Fermat's equation (11D41) Divisibility and factorizations in commutative rings (13A05)

Cites Work

• The ring of number-theoretic functions
• Modular elliptic curves and Fermat's Last Theorem
• Arithmetic functions and the Cauchy product
• On the unique factorization theorem for formal power series
• ARITHMETICAL FUNCTIONS IN SEVERAL VARIABLES
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Primary cyclotomic units and a proof of Catalans conjecture
• Multiplicative Arithmetic Functions of Several Variables: A Survey
• The multiple Dirichlet product and the multiple Dirichlet series
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