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Showing 1 to 20 of 56 for “"zeta function"”.

  1. Zeros of the Dedekind Zeta-Function

    Alsharif, Mashael2020

    … over two sets of nontrivial zeros of the Riemann zeta-function. Assuming the Riemann Hypothesis, he used this formula and Fourier analysis to prove an estimate for the proportion of simple zeros of the Riemann zeta-function. We prove a generalization of his formula for the nontrivial zeros of the …

    mississippi Repository record

  2. Higher Derivatives of the Hurwitz Zeta Function

    Musser, Jason

    <p>The Riemann zeta function ζ(s) is one of the most fundamental functions in number theory. Euler demonstrated that ζ(s) is closely connected to the prime numbers and Riemann gave proofs of the basic analytic properties of the zeta function. Values of the zeta function and its derivatives have …

    wku-diss Repository record

  3. AN EXPOSITION OF THE RIEMANN ZETA FUNCTION

    Molokach, JohnEast Carolina University2014

    This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic continuation and relationships to special functions. Some generalizations of the Riemann zeta function are outlined, as well as the calculation of zeta constants and the development of some identities. …

    ecu Repository record

  4. Explicit zero density for the Riemann zeta function

    Farzanfard, Golnoush, University of Lethbridge. Faculty of Arts and Science2024

    lethbridge

  5. New asymptotic formulas for the Riemann zeta function

    Cang, ShuangUniversity of Abertay Dundee1996

    abertay Repository record

  6. Computing the Zeta Function of Two Classes of Singular Curves

    Burko, Robert2014

    … 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 …

    toronto-retro Repository record

  7. A ZETA FUNCTION FOR FLOWS WITH L(−1,−1) TEMPLATE

    AL-Hashimi, Ghazwan Mohammed

    … We investigate their linking and we construct a zeta-function that counts periodic orbits according to their twisting. This extends work by M. Sullivan in [55], and [57].

    siu-theses Repository record

  8. Theorems About Beurling's Generalized Primes and the Associated Zeta Function

    Hall, Richard SamuelUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-09T22:17:42Z (GMT). No. of bitstreams: 1 6808094.pdf: 1522771 bytes, checksum: 296251f57f3c0ac59907de2b8441171f (MD5) Previous issue date: 1967

    uiuc Repository record

  9. The zeta function of an order in a general algebra

    Seyfried, Michael DavidUniversity of Illinois at Urbana-Champaign2011

    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 …

    uiuc Repository record

  10. Analytic investigation of cotangent sums related to the Riemann zeta function

    Rassias, Michail Th.ETH Zurich2014

    ethz Repository record

  11. Renormalization and ∗-product of the Horseshoe maps

    Almarri, Barakah Jaber2014

    … pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.</p>

    siu-theses Repository record

  12. The prime number theorem: Analytic and elementary proofs

    O'Rourke, CiaranNational University of Ireland Maynooth2013

    … and various results relating to the Riemann zeta function play a vital role. A weaker result than the prime number theorem is used for the proof, namely Chebyshev's theorem. The second proof is elementary in the sense that it involves no complex analysis. Instead, mainly number-theoretic …

    maynooth Repository record

  13. On the distribution of central values of Hecke L-functions

    White, Daniel

    … regarding the behavior of the Riemann zeta function on the critical line 1/2 + <em>it</em> can be naturally interpreted as questions regarding the family of <em>L</em>-functions over Q associated to the archimedian characters<em> ψ (k)</em> =<em> k -it</em> at the center point 1/2. …

    bryn-mawr Repository record

  14. Lercho ir Selbergo dzeta funkcijų reikšmių pasiskirstymai /

    Grigutis, Andrius,Institutional Repository of Vilnius University2012

    … 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 …

    vilnius Repository record

  15. Spectral interpretation of zeros of zeta functions

    Waldhauser, Tamas

    … are exactly the critical zeros of the Dedekind zeta function of the number field.</p>

    unh-thes Repository record

  16. On Some Applications of a Generalized Dwork Trace Formula to L-functions associated to Exponential Sums over Galois Rings

    Mohammed Ismail, Harris Ahmed2018

    … his celebrated proof of the rationality of the zeta function of an (affine or projective) algebraic variety over a finite field. In this thesis, we will prove a generalization of Dwork’s trace formula that applies to exponential sums over Galois rings and the associated L-function. Using the …

    umn Repository record

  17. Spectral functions for generalized piston configurations.

    Morales-Almazán, Pedro Fernando.Baylor University.2012

    … of non-smooth potentials and find the spectral zeta functions for these piston configurations on manifolds I x N, where I is an interval and N is a smooth compact Riemannian d-1 dimensional manifold. Then we consider the case of any smooth potential with a compact support and develop a method to …

    baylor Repository record

  18. Analysis in Fractional Calculus and Asymptotics Related to Zeta Functions

    Fernandez, ArranUniversity of Cambridge2018

    … 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 …

    cambridge Repository record

  19. Rational Points on Lattice Varieties

    Bansal, Shivi ShekharUniversity of Illinois at Urbana-Champaign2015

    … 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.

    uiuc Repository record

  20. A Bound for the Irrationality Measure of & zeta(3)

    Hendrick, Paul

    … an upper bound for the irrationality measure of &zeta(3), where &zeta denotes the Riemann zeta function. Results are presented in three steps: a linear combination of 1 and &zeta(3) depending on certain parameters is expressed as a triple integral, a description of the group of permutations of the …

    south-carolina Repository record

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