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Ramanujan's formula for the Riemann zeta function extended to L-functions /Merrill, Katherine J., January 2005 (has links) (PDF)
Thesis (M.A.) in Mathematics--University of Maine, 2005. / Includes vita. Includes bibliographical references (leaves 84-87).
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Ramanujan's Formula for the Riemann Zeta Function Extended to L-FunctionsMerrill, Katherine J. January 2005 (has links) (PDF)
No description available.
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Power series expansion connected with Riemann's zeta functionAllard, Gabriel Louis Adolphe January 1969 (has links)
We consider the entire function
[formula omitted]
whose set of zeros includes the zeros of [formula omitted](s), expand it in an
everywhere converging Maclauring series
[formula omitted]
Then we determine analytic expressions for the coefficients a[formula omitted] which will enable us to proceed with the numerical evaluation of some of these coefficients. To achieve this, we define an operator D[formula omitted] acting on a restricted
class of power series and which we call the zeta operator. Using the operator D[formula omitted], we are able to express the coefficients a[formula omitted] as infinite n-dimensional integrals.
Numerical values for the coefficients a₀ and a₁ are easily determined.
For a₂ and a₃, we transform the multidimensional integrals into products of single integrals and obtain infinite series expressions for these coefficients. Although our method can also be used on the following coefficients, it turns out that the work involved to obtain an expression leading to a practical numerical evaluation of a₄, a₅, …,seems prohibitive
at this stage.
We then proceed with the numerical computation of a₂ and a₃ and we use these coefficients to calculate the sums of reciprocals of the zeros of [formula omitted](s) in the critical strip. Finally, assuming Riemann hypothesis, we calculate a few other quantities which may prove to be of interest. / Science, Faculty of / Computer Science, Department of / Graduate
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Some relations between the Riemann zeta-function and certain number theoretic functionsRobinson, Valerie (Valerie Ruth) January 1969 (has links)
No description available.
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Evaluations of multiple L-valuesTerhune, David Alexander 28 August 2008 (has links)
Not available / text
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Evaluations of multiple L-valuesTerhune, David Alexander. January 2002 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company.
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On Dirichlet's L-functions.January 1982 (has links)
Fung Yiu-cho. / Bibliography: leaves 93-114 / Thesis (M.Phil.)--Chinese University of Hong Kong, 1982
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Some relations of Mahler measure with hyperbolic volumes and special values of L-functionsLalín, Matilde Noemí 28 August 2008 (has links)
Not available / text
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The Julia and Mandelbrot sets for the Hurwitz zeta functionTingen, Larry L. January 2009 (has links) (PDF)
Thesis (M.A.)--University of North Carolina Wilmington, 2009. / Title from PDF title page (February 21, 2010) Includes bibliographical references (p. 116-119)
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Gerahmte gemische Tate-Motive und die Werte von Zetafunktionen zu Zahlkörpern an den Stellen 2 und 3Kleinjung, Thorsten. January 1900 (has links)
Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2000. / Date from cover. Includes bibliographical references (p. 77).
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