A multivariable Euler product of Igusa type and its applications

DOI10.1016/j.jnt.2008.10.008zbMath1176.11065OpenAlexW2013303397MaRDI QIDQ1025898

Hiroyuki Ochiai, Nobushige Kurokawa

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.008

zbMATH Keywords

Euler productsIgusa zeta functionzeta functions for groups and rings

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions (11S40) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (6)

Time-hierarchical scheduling. A worst case analysis of a hierarchical approach integrating planning and scheduling in an online problem ⋮ Another generalization of the gcd-sum function ⋮ Applications of hybrid universality to multivariable zeta-functions ⋮ On mean values of multivariable complex valued multiplicative functions and applications ⋮ On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\) ⋮ TWO GENERALIZATIONS OF THE BUSCHE–RAMANUJAN IDENTITIES

Cites Work

• On The Meromorphy of Euler Products (I)
• On certain Euler products
• Meromorphic continuation of multivariable Euler products
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