Momente der Klassenzahlen binärer quadratischer Formen mit ganzalgebraischen Koeffizienten
Monogénéité de l'anneau des entiers de certains corps de classes de rayon
Soient une extension quadratique imaginaire de et son anneau des entiers. Lorsque 3 est décomposé dans , nous démontrons que les anneaux d’entiers de certains corps de classe de rayon de sont monogènes sur l’anneau des entiers du corps de classes de rayon 3. Des générateurs de “monogénéite” sont obtenus a l’aide de fonctions elliptiques qui paramétrisent un modèle de Deuring de la courbe elliptique associée au réseau .
Monogénéité de l'anneau des entiers de corps de classes de rayon de corps quadratiques
Monogénéité de l'anneau des entiers des extensions cycliques imaginaries de degré 2 l (l premier ... 5).
Monographic study of a cubic field.
Monomial representations and rings of integers.
Moore's Theorem on Uniqueness of Reciprocity Laws.
Mordell's conjecture over function fields.
Motivic L-functions and Galois module structures.
Multidimensional reciprocity laws.
Multiplicative character sums and Kummer coverings
Multiplicative dependence of shifted algebraic numbers
We show that the set obtained by adding all sufficiently large integers to a fixed quadratic algebraic number is multiplicatively dependent. So also is the set obtained by adding rational numbers to a fixed cubic algebraic number. Similar questions for algebraic numbers of higher degrees are also raised. These are related to the Prouhet-Tarry-Escott type problems and can be applied to the zero-distribution and universality of some zeta-functions.
Multiplicative functions dictated by Artin symbols
Granville and Soundararajan have recently suggested that a general study of multiplicative functions could form the basis of analytic number theory without zeros of L-functions; this is the so-called pretentious view of analytic number theory. Here we study multiplicative functions which arise from the arithmetic of number fields. For each finite Galois extension K/ℚ, we construct a natural class of completely multiplicative functions whose values are dictated by Artin symbols, and we show that...
Multiplicative independence and bounded height
Multiplicative lattices in global fields.