5 papers
pi-adic approach of p-class group and unit group of p-cyclotomic fields
Roland Queme
Let p > 2 be a prime. Let Q(zeta) be the p-cyclotomic field. Let pi be the prime ideal of Q(zeta) lying over p. This article aims to describe some pi-adic congruences characterizin…
Some congruences on prime factors of class number of finite algebraic extensions K/Q
Roland Queme
This paper is a contribution to the description of some congruences on the odd prime factors of the class number of the number fields. An example of results obtained is: Let L/Q be…
Some congruences on prime factors of class number of algebraic extensions K/Q
Roland Queme
This paper is an updated version of ANT-0372 (2002 dec 4) with the same title. Several errors are corrected in this version. An example of the kind of results obtained is: Let K/\Q…
A classical approach on cyclotomic fields and Fermat-Wiles theorem
Roland Queme
This paper is submitted to Algebraic-Number-Theory Archives for validation by Number Theorists Community. It is an update of the previous versions ANT-0155, ANT-0170, ANT-0205, ANT…
On the class number of cyclic extensions K/Q
Roland Queme
Let K/Q be a cyclic extension. In this paper, we give several congruences connecting the prime divisors of the degree g= [K:Q] with the prime divisors of the class number h of K/Q.…