Corps sextiques primitifs
Nous décrivons quatre tables de corps sextiques primitifs (une par signature). Les tables fournissent pour chaque corps, le discriminant, le groupe de Galois de la clôture galoisienne et un polynôme définissant le corps.
Corps sextiques primitifs (IV)
Determination of all imaginary abelian sextic number fields with class number ≤ 11
Disproof of the Mertens conjecture.
Eine empirische Untersuchung zur Mertensschen Funktion.
Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x
Imaginary quadratic fields with small odd class number
Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shafarevich
Maximal unramified extensions of imaginary quadratic number fields of small conductors
We determine the structures of the Galois groups Gal of the maximal unramified extensions of imaginary quadratic number fields of conductors under the Generalized Riemann Hypothesis). For all such , is , the Hilbert class field of , the second Hilbert class field of , or the third Hilbert class field of . The use of Odlyzko’s discriminant bounds and information on the structure of class groups obtained by using the action of Galois groups on class groups is essential. We also use class...
Méthodes d'optimisation pour un problème de théorie des nombres
Nested squares and evaluations of integer products.
New prime gaps between and .
Numerical and graphical description of all axis crossing regions for the moduli 4 and 8 which occur before .
Numerical calculation of twisted adjoint -values attached to modular forms.
O Fermatových číslech
On some Formulas Involving !n and the Verification of the !n-hypothesis by use of Computers
On the -th extension of the sieve of Eratosthenes.
On the l-divisibility of the relative class number of certain cyclic number fields
On the l-divisibility of the relative class number of certain cyclic number fields
On the order of the Mertens function.