Results 1 to 10 of about 158 (51)
Algebraic relations among Goss’s zeta values on elliptic curves
Forum of Mathematics, Sigma, 2023 In 2007 Chang and Yu determined all the algebraic relations among Goss’s zeta values for $A=\mathbb F_q[\theta ]$ , also known as the Carlitz zeta values.
Nathan Green, Tuan Ngo Dac
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Nonvanishing for cubic L-functions
Forum of Mathematics, Sigma, 2021 We prove that there is a positive proportion of L-functions associated to cubic characters over $\mathbb F_q[T]$ that do not vanish at the critical point $s=1/2$.
Chantal David +2 more
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Average value of the divisor class numbers of real cubic function fields
Open Mathematics, 2023 We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
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Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field [PDF]
, 2013 The first and second moments are established for the family of quadratic Dirichlet $L$--functions over the rational function field at the central point $s=\tfrac{1}{2}$ where the character $\chi$ is defined by the Legendre symbol for polynomials over ...
Andrade, Julio C., Keating, Jonathan P.
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Rudnick and Soundararajan's Theorem for Function Fields [PDF]
, 2015 In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet $L$-functions.
Andrade, Julio
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The probability that a complete intersection is smooth [PDF]
, 2012 Given a smooth subscheme of a projective space over a finite field, we compute the probability that its intersection with a fixed number of hypersurface sections of large degree is smooth of the expected dimension.
Bucur, Alina, Kedlaya, Kiran S.
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Correction to ‘Shifted convolution and the Titchmarsh divisor problem over Fq[t] [PDF]
, 2016 PublishedCorrection to original article: Phil. Trans. R. Soc. A 373, 20140308 (28 April 2015; Published online 23 March 2015) (doi:10.1098/rsta.2014.0308). Two of the equations in the original article contained a typographical error.
Andrade, JC, Bary-Soroker, L, Rudnick, Z
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Decomposing Jacobians of Curves over Finite Fields in the Absence of Algebraic Structure [PDF]
, 2014 We consider the issue of when the L-polynomial of one curve over $\F_q$ divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number of points over infinitely ...
Ahmadi, Omran +2 more
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Four Years of Realtime GRB Followup by BOOTES-1B (2005-2008) [PDF]
, 2010 Four years of BOOTES-1B GRB follow-up history are summarised for the first time in the form of a table. The successfully followed events are described case by case.
Castro-Tirado, Alberto J. +10 more
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Shifted convolution and the Titchmarsh divisor problem over F_q[t] [PDF]
, 2015 In this paper we solve a function field analogue of classical problems in analytic number theory, concerning the auto-correlations of divisor functions, in the limit of a large finite field.Comment: 22 pages, updated ...
Bary-Soroker L +6 more
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