Results 11 to 20 of about 158 (51)
On the Density of Coprime m-tuples over Holomorphy Rings [PDF]
, 2015 Let $\mathbb F_q$ be a finite field, $F/\mathbb F_q$ be a function field of genus $g$ having full constant field $\mathbb F_q$, $\mathcal S$ a set of places of $F$ and $H$ the holomorphy ring of $\mathcal S$.
Giacomo Micheli +4 more
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Generalised Mertens and Brauer-Siegel Theorems [PDF]
, 2007 In this article, we prove a generalisation of the Mertens theorem for prime numbers to number fields and algebraic varieties over finite fields, paying attention to the genus of the field (or the Betti numbers of the variety), in order to make it tend to
Brauer-siegel Theorems < +3 more
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Computing zeta functions of arithmetic schemes [PDF]
, 2015 We present new algorithms for computing zeta functions of algebraic varieties over finite fields. In particular, let X be an arithmetic scheme (scheme of finite type over Z), and for a prime p let zeta_{X_p}(s) be the local factor of its zeta function ...
Harvey, David
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Zagier–Hoffman’s Conjectures in Positive Characteristic
Forum of Mathematics, PiMultiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler and Euler sums.
Bo-Hae Im +4 more
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A census of zeta functions of quartic K3 surfaces over F_2
, 2016 We compute the complete set of candidates for the zeta function of a K3 surface over F_2 consistent with the Weil conjectures, as well as the complete set of zeta functions of smooth quartic surfaces over F_2.
Kedlaya, Kiran S., Sutherland, Andrew V.
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Uniqueness of Rankin-Selberg products
, 2013 In the present paper, we show the equality of the $\gamma$-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method.
Henniart, Guy, Lomelí, Luis
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An effective criterion for Eulerian multizeta values in positive characteristic [PDF]
, 2015 Characteristic p multizeta values were initially studied by Thakur, who defined them as analogues of classical multiple zeta values of Euler. In the present paper we establish an effective criterion for Eulerian multizeta values, which characterizes when
Chang, Chieh-Yu +2 more
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A Study of Kummer's Proof of Fermat's Last Theorem for Regular Primes [PDF]
, 2013 We study Kummer's approach towards proving the Fermat's last Theorem for regular primes. Some basic algebraic prerequisites are also discussed in this report, and also a brief history of the problem is mentioned.
Saikia, Manjil P.
core
Mean values of derivatives of L-functions in function fields: I [PDF]
, 2016 This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.We investigate the first moment of the second derivative of quadratic Dirichlet L-functions over the rational function field. We establish an
Andrade, J, Rajagopal, Surajit
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