New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
Noether's problem for some groups of order 16n
Noether's problem over an algebraically closed field.
Nombre de -classes invariantes. Application aux classes des corps abéliens
Nonsolvable nonic number fields ramified only at one small prime
We prove that there is no primitive nonic number field ramified only at one small prime. So there is no nonic number field ramified only at one small prime and with a nonsolvable Galois group.
Norm distribution in Galois orbits.
Normal integral bases and complex conjugation.
Normal Integral Bases and Embedding Problems.
Normal integral bases for infinite abelian extensions
Notes on an analogue of the Fontaine-Mazur conjecture
We estimate the proportion of function fields satisfying certain conditions which imply a function field analogue of the Fontaine-Mazur conjecture. As a byproduct, we compute the fraction of abelian varieties (or even jacobians) over a finite field which have a rational point of order .
Notes on the method of Frobenian functions with applications to Fourier coefficients of modular forms