Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers

Tomokazu Onozuka

doi:10.7169/facm/2013.49.2.11

Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers

Tomokazu Onozuka

Research output: Chapter in Book/Report/Conference proceeding › Chapter

11 Citations (Scopus)

Abstract

We give a result on the asymptotic behavior of multiple zeta-functions near nonpositive integers. By using that result, we evaluate limit values of multiple zeta-functions at non-positive integers.

Original language	English
Title of host publication	Functiones et Approximatio, Commentarii Mathematici
Publisher	Adam Mickiewicz University Press
Pages	331-348
Number of pages	18
Volume	49
Edition	2
ISBN (Print)	9788323226550
DOIs	https://doi.org/10.7169/facm/2013.49.2.11
Publication status	Published - 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.7169/facm/2013.49.2.11

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Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers

Abstract

All Science Journal Classification (ASJC) codes

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