MELLIN TRANSFORM OF THE DIRICHLET L-FUNCTION WITH PRINCIPAL CHARACTER

Author:

Aidas BAL\v{C}I\={U}NAS

2010 Mathematics Subject Classification:

11M06, 44A15.

Keywords:

Dirichlet L-function, Mellin transform, meromorphic  continuation.

Abstract:

We obtain a meromorphic continuation for the modified Mellin transform of Dirichlet $L$-function with principal character. This extends the results of [19]

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Balc-2013

Vol. 8 (16), 2013