A new determinant expression of the zeta function for a hypergraph.
An asymptotic inequality concerning primes in contours for the case of quadratic number fields
Asymptotic nature of higher Mahler measure
We consider Akatsuka’s zeta Mahler measure as a generating function of the higher Mahler measure of a polynomial where is the integral of over the complex unit circle. Restricting ourselves to P(x) = x - r with |r| = 1 we show some new asymptotic results regarding , in particular as k → ∞.
Bethe ansatz, inverse scattering transform and tropical Riemann theta function in a periodic soliton cellular automaton for .
Corrigendum to the paper "Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory"
Die Primfaktorzerlegung der Werte der Kreisteilungspolynome.
Die Primfaktorzerlegung der Werte der Kreisteilungsprobleme. II.
Digits and continuants in euclidean algorithms. Ergodic versus tauberian theorems
We obtain new results regarding the precise average-case analysis of the main quantities that intervene in algorithms of a broad Euclidean type. We develop a general framework for the analysis of such algorithms, where the average-case complexity of an algorithm is related to the analytic behaviour in the complex plane of the set of elementary transformations determined by the algorithms. The methods rely on properties of transfer operators suitably adapted from dynamical systems theory and provide...
Évaluation d'une somme arithmétique associée à une forme modulaire non analytique
Évaluation d'une somme arithmétique. Remarques
Evaluation of Euler-Zagier sums.
Explicit evaluations of quadruple Euler sums
Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook.
Majoration du nombre de zéros d’une somme polynomiale d’exponentielles -adiques
On certain infinite products III
On Maslanka's representation for the Riemann zeta function.
On series, integrals and continued fractions, III
On the evaluation of Euler sums.
Progress towards a conjecture on the mean value of Titchmarsh series, III
Répartition des valeurs d'une somme de fonctions exponentielles