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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 24 for “"zeta functions"”.
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Spectral interpretation of zeros of zeta functions
… are exactly the critical zeros of the Dedekind zeta function of the number field.</p>
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On the Theory of Zeta-functions and L-functions
… a body of knowledge that concerns Riemann zeta-function and its generalizations in a cohesive manner. In particular, we have studied and mentioned some recent results regarding Hurwitz and Lerch functions, as well as Dirichlet's L-function. We have also investigated some fundamental …
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Zeta-Functions of Two-Sided Ideals in Arithmetic Orders
The thesis deals with the theory of two-sided ideals in arithmetic orders. The theory and techniques developed by Bushnell and Reiner are used.
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Discrete universality theorems for the Riemann and Hurwitz zeta-functions /
… discrete universality of the Riemann and Hurwitz zeta-functions and , , , which are defined, for , by the series and and by analytic continuation elsewhere, are considered. Let be the space of analytic functions on equipped with the topology of uniform convergence on compacta, be the class of …
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Weighted Universality Theorems for the Riemann and Hurwitz Zeta-Functions /
… are often investigated. Weighted universality of zeta-functions is comparatively a new branch of universality, there exist only few papers in that direction. Therefore, it was important to continue investigation of weighted universality of the classical Riemann and Hurwitz zeta-functions. Also, …
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Partition asymptotics; zeros of zeta functions; and Apéry-like numbers
PART I G. H. Hardy and S. Ramanujan established an asymptotic formula for the number of unrestricted partitions of a positive integer, and claimed a similar asymptotic formula for the number of partitions into perfect kth powers, which was later proved by E. M. Wright. Recently, R. C. Vaughan …
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Analysis in Fractional Calculus and Asymptotics Related to Zeta Functions
… properties of their own. Fractional calculus and zeta functions have rarely been united in research, but one chapter below covers a new formula expressing the Lerch zeta function as a fractional derivative of an elementary function. This result could have many ramifications in both fields, which …
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Invariants and zeta functions associated to totally disconnected locally compact groups
Studying invariants and asymptotic properties relative to groups plays a prominent role in several classification problems. This thesis focuses on some cohomological and geometric invariants (e.g., number of ends, cohomological dimension and Euler-Poincaré characteristic) and certain growth series …
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Higher Dimensional Adeles, Mean-Periodicity and Zeta Functions of Arithmetic Surfaces
… with the analytic properties of arithmetic zeta functions, which remain largely conjectural at the time of writing. We will focus primarily on the most basic amongst them - meromorphic continuation and functional equation. Our weapon of choice is the so-called “mean-periodicity …
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"Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions" /
… joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions …
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Dirichlė L funkcijų ir Hurvico tipo dzeta funkcijų mišrus jungtinis universalumas - santrauka /
… joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions …
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Lercho ir Selbergo dzeta funkcijų reikšmių pasiskirstymai /
… for the value distribution of Lerch and Selberg zeta-functions and computer calculations performed using the computational software program MATHEMATICA. The dissertation consists of the introduction, 3 chapters, the conclusions and the references. The results of the thesis are published in three …
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Trimatė ribinė teorema periodinėms dzeta funkcijoms /
… of probability measures for the periodic zeta-functions. The result formulated by theorem.
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Rational Points on Lattice Varieties
… For varieties over finite field, the local zeta function encapsulates valuable number-theoretic information about the variety. We calculate explicitly the zeta functions of these lattice varieties.
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The zeta function of an order in a general algebra
Zeta functions have been of major importance in algebraic number theory for many years. They are useful (along with L-functions) in obtaining results concerning the asymptotic distribution of ideals in a given class. In 1980 Bushnell and Reiner were able to extend these classical results to the …
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Moments Of Products Of L-Functions
… of the nontrivial zeros of certain Dedekind zeta-functions. In particular, let K be a quadratic number field. Using the mixed second moments of derivatives of the Dedekind zeta-function attached to K on the critical line, we prove the existence of gaps between consecutive zeros of the …
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Local Conjugations of Groups and Applications to Number Fields
… fields K, K' of H, H' have identical Dedekind zeta functions. In 1985, Sunada looked at H, H', G as groups of deck isometrices of coverings of Riemann surfaces and showed that when H, H' are locally conjugate but not conjugate in G then the corresponding Riemann surfaces are isospectral but …
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Computing the Zeta Function of Two Classes of Singular Curves
… used p-adic cohomological methods to compute the zeta functions of various classes of varieties defined over finite fields. In all instances, the varieties considered had smooth representations in either affine or projective space.In this thesis, two non-smooth situations are introduced: the case …
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Topics in explicit number theory
… the number of non-trivial zeros of the Riemann zeta function and Dedekind zeta functions, which improve previous results of Trudgian. This improvement is based on ideas from previous works of Bennett et al., Kadiri and Ng and Trudgian. This is a joint work with Quanli Shen and Peng-Jie Wong. In …
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Mišu universalumo teoremos apibendrinimas /
… 1, be a fixed parameter. The Riemannand Hurwitz zeta - functions(s)and(s;)are defined, for >1, by the series(s) =1Xm=11msand(s;) =1Xm=01(m+)s;and were meromorphically continued to the whole complex plane.It is known that functions(s)and(s;)are universal in the sence of that, their …
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