Results 11 to 20 of about 230 (37)

Zagier–Hoffman’s Conjectures in Positive Characteristic

open access: yesForum of Mathematics, Pi
Multiples 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
doaj   +1 more source

Sortir de l’autorité ethnographique : la photographie documentaire dialogique

open access: yesFocales
“Dialogy” is based on the independence of characters and readers, the incompleteness of dialogue and a polyphonic approach that reflects different points of view.
Amandine Turri Hoelken
doaj   +1 more source

Eisenstein Polynomials over Function Fields

open access: yes, 2015
In this paper we compute the density of monic and non-monic Eisenstein polynomials of fixed degree having entries in an integrally closed subring of a function field over a finite ...
Dotti, Edoardo, Micheli, Giacomo
core   +1 more source

Special L-values of Drinfeld modules

open access: yes, 2011
We state and prove a formula for a certain value of the Goss L-function of a Drinfeld module. This gives characteristic-p-valued function field analogues of the class number formula and of the Birch and Swinnerton-Dyer conjecture.
Taelman, Lenny
core   +1 more source

Weierstrass semigroups on the Giulietti-Korchm\'aros curve

open access: yes, 2017
In this article we explicitly determine the structure of the Weierstrass semigroups $H(P)$ for any point $P$ of the Giulietti-Korchm\'aros curve $\mathcal{X}$.
Beelen, Peter, Montanucci, Maria
core   +1 more source

Nonabelian Cohen-Lenstra Heuristics over Function Fields

open access: yes, 2017
Boston, Bush, and Hajir have developed heuristics, extending the Cohen-Lenstra heuristics, that conjecture the distribution of the Galois groups of the maximal unramified pro-p extensions of imaginary quadratic number fields for p an odd prime.
Boston, Nigel, Wood, Melanie Matchett
core   +1 more source

AG codes from the second generalization of the GK maximal curve

open access: yes, 2019
The second generalized GK maximal curves $\mathcal{GK}_{2,n}$ are maximal curves over finite fields with $q^{2n}$ elements, where $q$ is a prime power and $n \geq 3$ an odd integer, constructed by Beelen and Montanucci.
Lavorante, Vicenzo Pallozzi   +1 more
core   +1 more source

A short proof of a Chebotarev density theorem for function fields [PDF]

open access: yes, 2016
In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version of this density theorem differs from other versions in two aspects: we include ramified primes and ...
Kosters, Michiel
core   +2 more sources
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