The quantitative subspace theorem for number fields

In this paper, we generalize the work of [20] to every finite Abelian group so as to obtain a new upper bound for the little cross number in the general case, which no longer depends

Since Poincar´ e, a lot of authors, see below, have given bounds about the number of remarkable values and have studied the problem of reducibility in a pencil of algebraic curves..

Keywords: Dynamical systems; Diophantine approximation; holomorphic dynam- ics; Thue–Siegel–Roth Theorem; Schmidt’s Subspace Theorem; S-unit equations;.. linear recurrence

Ne010Das: On the dieoreteness of the speotrum of nonlinear Sturm-Liou- ville equation of the fourth order (in Russian) Comment. Ne010Das: Fredholm alternative for

Our Theorem can also be used to derive good upper bounds for the numbers of solutions of norm form equations,.. S-unit equations and decomposable form equations; we

We present the formalization of Dirichlet’s theorem on the infinitude of primes in arithmetic progressions, and Selberg’s elementary proof of the prime number theorem, which

Since Poincar´e, a lot of authors, see below, have given bounds about the number of remarkable values and have studied the problem of reducibility in a pencil of algebraic curves..

We use an algorithm which, for a given genus g and a given field size q, returns the best upper order Weil bound for the number of F q -rational points of a genus g curve, together