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American Mathematical Society 2010-07-09T06:49:31Z 2010-07-09T06:49:31Z 2008-06 Genre/Form: Article(author) Material Type: Internet resource Document Type: Internet Resource, Archival Material All Authors / Contributors: MATSUMOTO, KOHJI; NAKAMURA, TAKASHI; TSUMURA, HIROFUMI OCLC Number: 779437689 Language Note: English Notes: 203062 bytesapplication/pdf Abstract: In this paper, we prove the existence of meromorphic continuation of certain triple zeta-functions of Lerch's type. Based on this result, we prove some functional relations for triple zeta and L-functions of the Mordell-Tornheim type. Using these functional relations, we prove new explicit evaluation formulas for special values of these functions. These can be regarded as triple analogues of known results for double zeta and L-functions.

Title : Functional Relations and Special Values of Mordell-tornheim Triple Zeta and L-functions
Author : MATSUMOTO, KOHJI; NAKAMURA, TAKASHI; TSUMURA, HIROFUMI
Language : en
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Type : PDF, ePub, Kindle
Uploaded : Apr 12, 2021

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