Explicit reciprocity laws on relative Lubin-Tate groups
Explicit reduction theory for Siegel modular threefolds.
Explicit Representations of Dirichlet Approximations.
Explicit Selmer groups for cyclic covers of ℙ¹
For any abelian variety J over a global field k and an isogeny ϕ: J → J, the Selmer group is a subgroup of the Galois cohomology group , defined in terms of local data. When J is the Jacobian of a cyclic cover of ℙ¹ of prime degree p, the Selmer group has a quotient by a subgroup of order at most p that is isomorphic to the ‘fake Selmer group’, whose definition is more amenable to explicit computations. In this paper we define in the same setting the ‘explicit Selmer group’, which is isomorphic...
Explicit solution of a class of quartic Thue equations
Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
Explicit upper bounds for |L(1,χ)| when χ(3) = 0
Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Explicit upper bounds for the average order of and application to class number.
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.