On the Injectivity of the Map of the Witt Group of a Scheme into the Witt Group of its Function Field (Correction).
On the integer solutions of exponential equations in function fields
This paper is concerned with the estimation of the number of integer solutions to exponential equations in several variables, over function fields. We develop a method which sometimes allows to replace known exponential bounds with polynomial ones. More generally, we prove a counting result (Thm. 1) on the integer points where given exponential terms become linearly dependent over the constant field. Several applications are given to equations (Cor. 1) and to the estimation of the number of equal...
On the Integers n for which ...(n) = k (II).
On the integers not of the form
On the Integers Relatively Prime to n and a Number-Theoretic Function Considered by Jacobsthal.
On the integers for which holds
On the integral basis of the maximal real subfield of a cyclotomic field.
On the intersection of modular correspondences.
On the intersection of three quadrics.
On the intersection of two distinct -generalized Fibonacci sequences
Let and define , the -generalized Fibonacci sequence whose terms satisfy the recurrence relation , with initial conditions ( terms) and such that the first nonzero term is . The sequences and are the known Fibonacci and Tribonacci sequences, respectively. In 2005, Noe and Post made a conjecture related to the possible solutions of the Diophantine equation . In this note, we use transcendental tools to provide a general method for finding the intersections which gives evidence supporting...
On the intervals between numbers that are sums of two squares. III.
On the intervals between numbers that are sums of two squares: IV.
On the ...-invariant for quadratics forms and the linkage of cyclic algebras.
On the invariant measure for Jacobi-Perron algorithm.
On the ?-invariant of the ?-transform of a rational function.
On the invariants of the Hecke groups
On the irrationality measure of
We prove that 7. 398 537 is an irrationality measure of . We employ double integrals of suitable rational functions invariant under a group of birational transformations of . The numerical results are obtained with the aid of a semi-infinite linear programming method.
On the irrationality of a divisor function series.
On the irrationality of factorial series
On the irrationality of polynomial Cantor series