On geometric Z p -extensions of function fields

R. Gold; H. Kisilevsky

doi:10.1007/bf01278975

On geometric Z p -extensions of function fields

manuscripta mathematica ◽

10.1007/bf01278975 ◽

1988 ◽

Vol 62 (2) ◽

pp. 145-161 ◽

Cited By ~ 3

Author(s):

R. Gold ◽

H. Kisilevsky

Keyword(s):

Function Fields

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The moments and statistical distribution of class number of primes over function fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101845 ◽

2021 ◽

Vol 73 ◽

pp. 101845

Author(s):

Julio Andrade ◽

Asmaa Shamesaldeen

Keyword(s):

Class Number ◽

Function Fields ◽

Statistical Distribution

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1. Finite Fields and Function Fields

Algebraic Geometry in Coding Theory and Cryptography ◽

10.1515/9781400831302-002 ◽

2010 ◽

pp. 1-29

Keyword(s):

Finite Fields ◽

Function Fields ◽

And Function

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ON THE GROWTH OF LINEAR RECURRENCES IN FUNCTION FIELDS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972720001094 ◽

2020 ◽

pp. 1-10

Author(s):

CLEMENS FUCHS ◽

SEBASTIAN HEINTZE

Keyword(s):

Number Field ◽

Function Field ◽

Function Fields ◽

Linear Recurrence ◽

Recurrence Sequence ◽

Linear Recurrences ◽

Field Case ◽

Power Sum ◽

Linear Recurrence Sequence

Abstract Let $ (G_n)_{n=0}^{\infty } $ be a nondegenerate linear recurrence sequence whose power sum representation is given by $ G_n = a_1(n) \alpha _1^n + \cdots + a_t(n) \alpha _t^n $ . We prove a function field analogue of the well-known result in the number field case that, under some nonrestrictive conditions, $ |{G_n}| \geq ( \max _{j=1,\ldots ,t} |{\alpha _j}| )^{n(1-\varepsilon )} $ for $ n $ large enough.

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Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields

Journal of Number Theory ◽

10.1016/j.jnt.2020.10.021 ◽

2020 ◽

Author(s):

Hung M. Bui ◽

Alexandra Florea ◽

Jonathan P. Keating

Keyword(s):

Function Fields ◽

Type I ◽

Level Densities ◽

The One

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Torsion points of Drinfeld modules over large algebraic extensions of finitely generated function fields

Journal of Number Theory ◽

10.1016/j.jnt.2021.03.014 ◽

2021 ◽

Author(s):

Takuya Asayama

Keyword(s):

Function Fields ◽

Drinfeld Modules ◽

Finitely Generated ◽

Torsion Points

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Fields of definition of function fields and hurwitz families — groups as galois groups

Communications in Algebra ◽

10.1080/00927877708822158 ◽

1977 ◽

Vol 5 (1) ◽

pp. 17-82 ◽

Cited By ~ 48

Author(s):

M. Fried

Keyword(s):

Function Fields ◽

Galois Groups ◽

Definition Of

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Correction to: Divisibility problems for function fields

Acta Mathematica Hungarica ◽

10.1007/s10474-020-01017-6 ◽

2020 ◽

Vol 160 (2) ◽

pp. 519-521

Author(s):

S. Baier ◽

A. Bansal ◽

R. K. Singh

Keyword(s):

Function Fields

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On Unramified Separable Abelian p-Extensions of Function Fields I

Nagoya Mathematical Journal ◽

10.1017/s0027763000005869 ◽

1959 ◽

Vol 14 ◽

pp. 223-234 ◽

Cited By ~ 1

Author(s):

Hisasi Morikawa

Keyword(s):

Galois Group ◽

Function Field ◽

Function Fields ◽

Abelian Extension ◽

Closed Field ◽

Jacobian Variety ◽

Algebraically Closed Field

Let k be an algebraically closed field of characteristic p>0. Let K/k be a function field of one variable and L/K be an unramified separable abelian extension of degree pr over K. The galois automorphisms ε1, …, εpr of L/K are naturally extended to automorphisms η(ε1), … , η(εpr) of the jacobian variety JL of L/k. If we take a svstem of p-adic coordinates on JL, we get a representation {Mp(η(εv))} of the galois group G(L/K) of L/K over p-adic integers.

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