ndependence of Modular Units on Tate Curves.
Negatively reduced ideals in orders of real quadratic fields: even discriminants
Některé věty týkající se rozkladu mnohočlenů jedné proměnné
Nets, -sequences, and algebraic curves over finite fields with many rational points.
Neubegründung der Klassenkörpertheorie.
New asymptotic formulas for the distribution of left ideals of orders.
New computations concerning the Cohen-Lenstra heuristics.
New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
New formulas for the class number of imaginary quadratic fields
New formulations of the class number one problem
New methods providing high degree polynomials with small Mahler measure.
New models for the action of Hecke operators in spaces of Maass wave forms
Utilizing the theory of the Poisson transform, we develop some new concrete models for the Hecke theory in a space of Maass forms with eigenvalue on a congruence subgroup . We introduce the field so that consists entirely of algebraic numbers if .The main result of the paper is the following. For a packet of Hecke eigenvalues occurring in we then have that either every is algebraic over , or else will – for some – occur in the first cohomology of a certain space which is a...
New prime-producing quadratic polynomials associated with class number one or two.
New ramification breaks and additive Galois structure
Which invariants of a Galois -extension of local number fields (residue field of char , and Galois group ) determine the structure of the ideals in as modules over the group ring , the -adic integers? We consider this question within the context of elementary abelian extensions, though we also briefly consider cyclic extensions. For elementary abelian groups , we propose and study a new group (within the group ring where is the residue field) and its resulting ramification filtrations....
New solutions to xyz = x+y+z = 1 in integers of quartic fields
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Noch eine Begründung der Theorie der höheren Differentialquotienten in einem algebraischen Funktionenkörper einer Unbestimmten. (Nach einer brieflichen Mitteilung von F.K. Schmidt in Jena).
Noether's problem for some groups of order 16n
Noether's problem over an algebraically closed field.
Nombre de classes d’idéaux d’une algèbre de quaternions totalement définie sur