Vol. 133, No. 1, 1988

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On an extension of the Ikehara Tauberian theorem

Junichi Aramaki

Vol. 133 (1988), No. 1, 13–30
Abstract

A specific example of the Ikehara Tauberian theorem is extended to the case where the zeta function has a pole of order p > 1 at the first singularity. And we have an application to asymptotic behavior of eigenvalues for some partial differential operator.

Mathematical Subject Classification 2000
Primary: 47A60
Secondary: 11M45, 35P20, 47A10, 58G25
Milestones
Received: 27 May 1987
Revised: 17 August 1987
Published: 1 May 1988
Authors
Junichi Aramaki