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Complex Powers of the Laplace Operator on the Circle

Name: Complex Powers of the Laplace Operator on the Circle
Creator: Jack Morava
Keywords: Lerch zeta-function, Kubert-Lang, 4. Education, Dirichlet series, exponential series and other series in one complex variable, Hurwitz and Lerch zeta functions, 16. Peace & justice, 01 natural sciences, renormalization, Renormalization group methods applied to problems in quantum field theory, Polish L-function

Complex powers of the Laplace operator on the circle

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1985Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 94, page 213 (issn: 0002-9939,

Authors: Jack Morava;

doi: 10.2307/2045377 , 10.1090/s0002-9939-1985-0784165-x

Complex Powers of the Laplace Operator on the Circle

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Abstract

The classical zeta function of Lerch has an analytic continuation as a distribution on the circle which seems to be very different from its usual analytic continuation: for example, the Bernoulli polynomials come out upside down.

Keywords

Lerch zeta-function, Kubert-Lang, Dirichlet series, exponential series and other series in one complex variable, Hurwitz and Lerch zeta functions, renormalization, Renormalization group methods applied to problems in quantum field theory, Polish L-function, Schwartz distribution, analytic continuation, distribution, Zeta functions and \(L\)-functions of number fields, polylogarithm

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