l-Class groups of cyclic function fields of degree l

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

L-Functions of Function Fields

This is a short expository paper on L-functions of function fields, based on the author’s lecture given at the fourth China-Japan number theory conference held in Weihai.

متن کامل

Quadratic Fields with Cyclic 2-class Groups

For any integer k ≥ 1, we show that there are infinitely many complex quadratic fields whose 2-class groups are cyclic of order 2. The proof combines the circle method with an algebraic criterion for a complex quadratic ideal class to be a square. In memory of David Hayes.

متن کامل

On divisibility of the class number h+ of the real cyclotomic fields of prime degree l

In this paper, criteria of divisibility of the class number h+ of the real cyclotomic field Q(ζp +ζ−1 p ) of a prime conductor p and of a prime degree l by primes q the order modulo l of which is l−1 2 , are given. A corollary of these criteria is the possibility to make a computational proof that a given q does not divide h+ for any p (conductor) such that both p−1 2 , p−3 4 are primes. Note t...

متن کامل

Minus class groups of the fields of the l-th roots of unity

Abstract. We show that for any prime number l > 2 the minus class group of the field of the l-th roots of unity Qp(ζl) admits a finite free resolution of length 1 as a module over the ring Ẑ[G]/(1 + ι). Here ι denotes complex conjugation in G = Gal(Qp(ζl)/Qp) ∼= (Z/lZ)∗. Moreover, for the primes l ≤ 509 we show that the minus class group is cyclic as a module over this ring. For these primes we...

متن کامل

A New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields

We present an algorithm for the computation of logarithmic `-class groups of number fields. Our principal motivation is the effective determination of the `-rank of the wild kernel in the K-theory of number fields.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Finite Fields and Their Applications

سال: 2007

ISSN: 1071-5797

DOI: 10.1016/j.ffa.2005.09.001