AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. We show that the universal ordinary punctured distribution on 1MRT/RT is a free abelian group and determine its rank. We also compute the torsion subgroups of the universal ordinary punctured even and odd distributions
Classical results due to Katz and Sarnak show that if the genus is fixed and q tends to infinity, th...
In this thesis, we study congruence function fields, in particular those with many rational places. ...
AbstractThe purpose of this article is to get effective information about the following two problems...
AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. ...
AbstractFor any sufficiently general family of curves over a finite field Fq and any elementary abel...
AbstractLet p be a prime number, let F¯p be the algebraic closure of Fp=Z/pZ, let C be an absolutely...
We examine the distributions of non-commutative polynomials of non-atomic, freely independent random...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove several results concering class groups of number fields and function fields. Firstly we com...
AbstractLet P be a polynomial. As in the article [J. Coquet, J. Number Theory 10 (1978), 291–296], w...
Fix a prime number $p$. Let $\mathbb{F}_q$ be a finite field of characteristic coprime to 2, 3, and ...
AbstractLet P be a polynomial. We find a necessary and sufficient condition for some subsequences of...
For any sufciently general family of curves over a nite eld Fq and any elementary abelian `-group H ...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
Abstract. We study the Gross Conjecture on the cyclotomic function field extension k(Λf)/k where k =...
Classical results due to Katz and Sarnak show that if the genus is fixed and q tends to infinity, th...
In this thesis, we study congruence function fields, in particular those with many rational places. ...
AbstractThe purpose of this article is to get effective information about the following two problems...
AbstractLet M be a nonconstant polynomial in the polynomial ring RT=Fq[T] over the finite field Fq. ...
AbstractFor any sufficiently general family of curves over a finite field Fq and any elementary abel...
AbstractLet p be a prime number, let F¯p be the algebraic closure of Fp=Z/pZ, let C be an absolutely...
We examine the distributions of non-commutative polynomials of non-atomic, freely independent random...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove several results concering class groups of number fields and function fields. Firstly we com...
AbstractLet P be a polynomial. As in the article [J. Coquet, J. Number Theory 10 (1978), 291–296], w...
Fix a prime number $p$. Let $\mathbb{F}_q$ be a finite field of characteristic coprime to 2, 3, and ...
AbstractLet P be a polynomial. We find a necessary and sufficient condition for some subsequences of...
For any sufciently general family of curves over a nite eld Fq and any elementary abelian `-group H ...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
Abstract. We study the Gross Conjecture on the cyclotomic function field extension k(Λf)/k where k =...
Classical results due to Katz and Sarnak show that if the genus is fixed and q tends to infinity, th...
In this thesis, we study congruence function fields, in particular those with many rational places. ...
AbstractThe purpose of this article is to get effective information about the following two problems...