Results 221 to 230 of about 4,308 (243)

On the Periodic Zeta‐Function. II

Lithuanian Mathematical Journal, 2001
The authors continue their work [Lith. Math. J. 41, No. 2, 168--177 (2001); translation from Liet. Mat. Rink. 41, No. 2, 214--226 (2001; Zbl 1025.11028)] on the periodic zeta-function \(\zeta(s, \mathcal A)=\sum_{m=1}^\infty a_mm^{-s}\) \((\Re s>1)\), where \(\{a_m\}\) is a sequence of complex numbers with period \(k\) \((\geq 1)\).
Laurinčikas, A., Šiaučiūnas, D.
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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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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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PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS

International Journal of Mathematics, 2007
We study continuous period deformations of the multiple Hurwitz zeta functions and their derivatives. Moreover we investigate period deformations of the generalized multiple gamma and sine functions and give applications.
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The joint distribution of periodic zeta-functions

Studia Scientiarum Mathematicarum Hungarica, 2011
In this paper, the joint approximation of a given collection of analytic functions by a collection of shifts of zeta-functions with periodic coefficients is obtained. This is applied to prove the functional independence for these zeta-functions.
Roma kačinskaitė, Antanas 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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On the joint universality of periodic zeta functions

Mathematical Notes, 2009
In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.
A. Laurinčikas, R. Macaitiene
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Joint discrete universality for periodic zeta-functions. II

Quaestiones Mathematicae, 2019
Abstract. In the paper, a theorem on the approximation of collections of a wide class of analytic functions by collections of shifts of zeta-functions with periodic co- efficients involving imaginary parts of non-trivial zeros of the Riemann zeta-function is obtained. For this, a version of the Montgomery pair correlation conjecture is required.
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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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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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