Zeta functions and basic analogues

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dc.contributor.author Anderson, Peter John
dc.date.accessioned 2010-11-10T20:06:29Z
dc.date.available 2010-11-10T20:06:29Z
dc.date.copyright 2009 en
dc.date.issued 2010-11-10T20:06:29Z
dc.identifier.uri http://hdl.handle.net/1828/3085
dc.description.abstract We present results evolving from established connections between zeta functions and different systems of polynomials, particularly the Riemann and Hurwitz zeta functions and the Bernoulli and Euler polynomials. In particular we develop certain results related to Apostol's deformation of the Bernoulli polynomials and obtain identities of Carlitz by a novel approach using generating functions instead of difference equations. In the last two chapters we work out new rapidly convergent series expansions of the Riemann zeta function, find coefficient symmetries of a polynomial sequence obtained from the cyclotomic polynomials by a linear fractional transformation of argument and obtain an expression for the constant term in an identity involving the gamma function. en
dc.language English eng
dc.language.iso en en
dc.rights Available to the World Wide Web en
dc.subject zeta functions en
dc.subject number theory en
dc.subject.lcsh UVic Subject Index::Sciences and Engineering::Mathematics en
dc.title Zeta functions and basic analogues en
dc.type Thesis en
dc.contributor.supervisor Srivastava, H. M.
dc.degree.department Dept. of Mathematics and Statistics en
dc.degree.level Doctor of Philosophy Ph.D. en

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