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Some Analytic Properties of Automorphic L-functionsZhang, Yuanli January 1994 (has links)
Note:
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On a mean value of twisted automorphic L-functionsXu, Chen, 徐晨 January 2008 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Two variable #rho#-adic L-functions for CM elliptic curves with supersingular reductionBalister, P. N. January 1992 (has links)
No description available.
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Popescu's Conjecture in Multiquadratic ExtensionsPrice, Jason 02 October 2009 (has links)
Stark's Conjectures were formulated in the late 1970s and early 1980s. The most general version predicts that the leading coe cient of the Maclaurin series of an Artin L-function should be the product of an algebraic number and a regulator made up of character values and logarithms of absolute values of units. When known, Stark's conjecture provides a factorization of the analytic class number formula of Dirichlet. Stark succeeded in formulating a \re ned abelian" version of his conjecture when the L-function in question has a rst order zero and is associated with an abelian extension of number elds. In the spirit of Stark, Rubin and Popescu formulated analogous \re ned abelian" conjectures for Artin L-Functions which vanish to arbitrary order r at s = 0. These conjectures are identical to Stark's own re ned abelian conjecture when restricted to order of vanishing r = 1. We introduce Popescu's Conjecture C(L=F; S; r): We prove Popescu's Conjecture for multiquadratic extensions when the set of primes S of the base eld is minimal given minor restrictions on the S-class group of the base eld. This extends the results of Sands to the case where #S = r + 1. We present three in nite families of settings where our methods allow us to verify Popescu's conjecture. We formulate a conjecture that predicts when a fundamental unit of a real quadratic eld must become a square in a multiquadratic extension.
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On a mean value of twisted automorphic L-functionsXu, Chen, January 2008 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2008. / Includes bibliographical references (p. 89-90) Also available in print.
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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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Die Rankinsche L-Funktion und Heegner-Punkte für allgemeine DiskriminantenHayashi, Yoshiki. January 1994 (has links)
Thesis (doctoral)--Universität Bonn, 1993. / Includes bibliographical references (p. 155-157).
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On low-lying zeros of automorphic L-functionsGuloglu, Ahmet Muhtar, January 2005 (has links)
Thesis (Ph. D.)--Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains viii, 61 p. Includes bibliographical references (p. 59-61). Available online via OhioLINK's ETD Center
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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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Zeros of p-adic L-functions /Childress, Nancy Ellen January 1985 (has links)
No description available.
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