Explizite Darstellungen von Einheiten und ihre Anwendung auf Mehrklassigkeitsfragen bei reell-quadratischen Zahlkörpern. II.
Explizite Darstellungen von Einheiten und ihre Anwendungen auf Mehrklassigkeitsfragen bei reell-quadratischen Zahlkörpern. I. Explizite Darstellungen von Einheiten reell-quadratischer Zahlkörper.
Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.
Exploring the -Riemann zeta function and -Bernoulli polynomials.
Exponent of class group of certain imaginary quadratic fields
Let be an odd integer. We prove that there are infinitely many imaginary quadratic fields of the form whose ideal class group has an element of order . This family gives a counterexample to a conjecture by H. Wada (1970) on the structure of ideal class groups.
Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions
There is a circle of problems concerning the exponential generating function of harmonic numbers. The main results come from Cvijovic, Dattoli, Gosper and Srivastava. In this paper, we extend some of them. Namely, we give the exponential generating function of hyperharmonic numbers indexed by arithmetic progressions; in the sum several combinatorial numbers (like Stirling and Bell numbers) and the hypergeometric function appear.
Exponential polynomial inequalities and monomial sum inequalities in -Newton sequences
We consider inequalities between sums of monomials that hold for all p-Newton sequences. This continues recent work in which inequalities between sums of two, two-term monomials were combinatorially characterized (via the indices involved). Our focus is on the case of sums of three, two-term monomials, but this is very much more complicated. We develop and use a theory of exponential polynomial inequalities to give a sufficient condition for general monomial sum inequalities, and use the sufficient...
Exponential Riordan arrays and permutation enumeration.
Exponential sums and additive problems involving square-free numbers
Exponential sums and the distribution of inversive congruential pseudorandom numbers with prime-power modulus
Exponential sums associated with algebraic number fields.
Exponential sums associated with the Dedekind zeta-functions.
Exponential sums for O¯(2n,q) and their applications
Exponential sums for symplectic groups and their applications
Exponential sums involving the largest prime factor function
Exponential sums modulo prime powers
Exponential sums of the form
Exponential sums on (Gm)n.
Exponential sums with coefficients or and concentrated norms
A sum of exponentials of the form , where the are distinct integers is called an idempotent trigonometric polynomial (because the convolution of with itself is ) or, simply, an idempotent. We show that for every and every set of the torus with there are idempotents concentrated on in the sense. More precisely, for each there is an explicitly calculated constant so that for each with and one can find an idempotent such that the ratio is greater than . This is in fact...
Exponential Sums with Farey Fractions
For positive integers m and N, we estimate the rational exponential sums with denominator m over the reductions modulo m of elements of the set ℱ(N) = {s/r : r,s ∈ ℤ, gcd(r,s) = 1, N ≥ r > s ≥ 1} of Farey fractions of order N (only fractions s/r with gcd(r,m) = 1 are considered).