The multiple Dirichlet product and the multiple Dirichlet series

DOI10.1142/S1793042117501184zbMath1395.11116arXiv1601.05924OpenAlexW2963856528MaRDI QIDQ5357499

Tomokazu Onozuka

Publication date: 8 September 2017

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

Full work available at URL: https://arxiv.org/abs/1601.05924

zbMATH Keywords

Dirichlet seriesmultiple Dirichlet seriesmultiple zeta star function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

Multiple arithmetic functions in function fields ⋮ Dirichlet product and the multiple Dirichlet series over function fields

Cites Work

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• The ring of number-theoretic functions
• Multiple harmonic series
• The analytic continuation and the order estimate of multiple Dirichlet series.
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• Analytic continuation of multiple zeta functions
• Zero-Free Regions of ζ(^k )(s)

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