Ternary quadratic forms that represent zero: the function field case
Ternary quadratic forms with rational zeros
We consider the Legendre quadratic formsand, in particular, a question posed by J–P. Serre, to count the number of pairs of integers , for which the form has a non-trivial rational zero. Under certain mild conditions on the integers , we are able to find the asymptotic formula for the number of such forms.
Terne di quadrati consecutivi in un campo di Galois
Explicit formulae for the number of triplets of consecutive squares in a Galois field are given.
Test de primalité et méthodes de factorisation
Test for submodel in Gibbs-Markov binary random sequence
Test vectors for linear forms.
Tests de primalidad.
Tests de primalité d'après Adleman, Rumely, Pomerance et Lenstra
Tetra and Didi, the cosmic spectral twins.
Tetragonal modular curves
The -complex Bruno function and the Yoccoz function: a numerical study of the Marmi-Moussa-Yoccoz conjecture.
The 27-dimensional module for E6. I.
The 2-adic eigencurve is proper.
The 2-class group of certain biquadratic number fields.
The 2-divisibility of the class number of cyclotomic fields and the Stickelberger ideal.
The 2r-th power character of 2.
The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group , the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of . As compared with real quadratic fields, the 2-Sylow subgroups of for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove a few theorems on the structure of the 2-Sylow subgroups of for imaginary quadratic fields F. In our Ph.D. thesis (see...
The -problem and holomorphic dynamics.
The conjugacy map over a Sturmian word.
The problem as a string rewriting system.