Minoration au point 1 des fonctions L et détermination des corps sextiques abéliens totalement imaginaires principaux
Mittelwert der Eulerschen ...-Funktion und des Quadrates der Dirichletschen Teilerfunktion in algebraischen Zahlkörpern.
Mittelwerte von Hecke Polynomen.
Modular units inside cyclotomic units
Module de continuite des fonctions L2-adiques des caracteres quadratiques.
Mollin's conjecture
Momente der Klassenzahlen binärer quadratischer Formen mit ganzalgebraischen Koeffizienten
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...
Nombres de Bernoulli et fonctions -adiques
Non-abelian number fields with very large class numbers
Non-vanishing of class group -functions at the central point
Let be an imaginary quadratic field, and denote by its class number. It is shown that there is an absolute constant such that for sufficiently large at least of the distinct -functions do not vanish at the central point .
Number of solutions of certain congruences
Numerical verification of the Stark-Chinburg conjecture for some icosahedral representations.
On a Conjecture of Gross on Special Values of L-functions.
On a Conjecture of Hecke Concerning Elementary Class Number Formulas.
On a generalization of the Maillet determinant II
On a positivity property of the Riemann ξ-function
On a theorem of A. V. Sokolovskiĭ
On A. Weil's explicit formula.
On adele rings of arithmetically equivalent fields