Results 181 to 190 of about 3,995 (217)

Identities Related to the Riemann Zeta Function and Periodic Zeta Functions

2013
Several interesting entries from page 196 in the lost notebook are examined. These relate to two of Ramanujan’s papers on integrals.
George E. Andrews, Bruce C. Berndt
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Bartholdi zeta functions of periodic graphs

Linear and Multilinear Algebra, 2011
Recently, Guido et al. [D. Guido, T. Isola, and M.L. Lapidus, Ihara's zeta function for periodic graphs and its approximation in the amenable case, J. Funct. Anal. 255 (2008), pp. 1339–1361] defined the Ihara zeta function of a periodic graph, and gave a determinant expression of it.
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Zeta Functions and Periodic Orbit Theory: A Review

Results in Mathematics, 1993
This is a comprehensive review of recent work on zeta functions, periodic orbit theory and their interrelations with the Selberg trace formula. Work on the quantization of chaos is also surveyed. The emphasis is on Lie group representation theory and differential geometry. Connections to string theory are also discussed. The following sample of section
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Universality of the periodic Hurwitz zeta-function

Integral Transforms and Special Functions, 2006
In this article, the universality in the Voronin sense for the Hurwitz zeta-function with periodic coefficients is proved.
A. Javtokas, A. Laurinčikas
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Joint Universality of Zeta Functions with Periodic Coefficients. II

Siberian Mathematical Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Joint discrete universality for periodic zeta-functions

Quaestiones Mathematicae, 2018
In the paper, joint universality theorems for periodic zeta functions with multiplicative coefficients and periodic Hurwitz zeta-functions are proved. The main theorem of [11] is extended, and two new joint universality theorems on the approximation of a collection of analytic functions by discrete shifts of the above zeta- functions are obtained.
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Joint universality for periodic Hurwitz zeta-functions

Izvestiya: Mathematics, 2008
We prove a joint universality theorem for a collection of periodic Hurwitz zeta-functions with algebraically independent parameters over the field of rational numbers.
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Joint discrete universality of periodic zeta-functions

Integral Transforms and Special Functions, 2011
In this paper, we obtain the joint universality in the Voronin sense for the collection of Dirichlet L-function and periodic Hurwitz zeta-function.
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Functional independence of periodic Hurwitz zeta functions

Mathematical Notes, 2008
Given a periodic sequence \({\mathfrak a}:= \{a_m\mid m\in\mathbb Z, m\geq 0\}\) of complex numbers \(a_m\), let \[ \zeta(s,\alpha;{\mathfrak a})= \sum^\infty_{m=0} a_m(m+ \alpha)^{-s}. \] The so-called periodic Hurwitz zeta-function \(s\mapsto \zeta(s,\alpha;{\mathfrak a})\) can be analytically continued to the whole complex plane.
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Periods, Multiple Zeta Functions and ζ(3)

2014
In this chapter, we will examine some of the emerging themes in the theory of transcendental numbers. The most fascinating is the “modular connection” linking it with the theory of modular forms. We have met a part of this connection in the earlier chapters. In this chapter, we will indicate some other relations.
M. Ram Murty, Purusottam Rath
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