arXiv Analytics

Sign in

arXiv:2210.13033 [math.NT]AbstractReferencesReviewsResources

Functional equation for the Mordell-Tornheim multiple $L$-function

Yuichiro Toma

Published 2022-10-24Version 1

In this paper, we consider the $\chi$-analogue of the functional equation for the Mordell-Tornheim multiple zeta-function. We prove it by applying the Mellin-Barnes integral formula.

Comments: 8pages
Categories: math.NT
Subjects: 11M32, 11M06
Related articles: Most relevant | Search more
arXiv:2204.13887 [math.NT] (Published 2022-04-29)
The $a$-points of the Riemann zeta-function and the functional equation
arXiv:1306.0987 [math.NT] (Published 2013-06-05, updated 2014-03-08)
Functional equations for double series of Euler type with coefficients
arXiv:0907.3803 [math.NT] (Published 2009-07-22)
On the integral of Hardy's function

Links

Toolbox