Concept
Fonction digamma
Publications associées (9)
On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros
Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, an ...
MDPI2024On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...
MDPI2023Generalized Gauss Inequalities via Semidefinite Programming
A sharp upper bound on the probability of a random vector falling outside a polytope, based solely on the first and second moments of its distribution, can be computed efficiently using semidefinite programming. However, this Chebyshev-type bound tends to ...
Springer Verlag2016Partition function on spheres: How to use zeta function regularization
It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. However, in some cases formal manipulations with zeta function regularization (assuming linearity of sums) lead to correct results. We c ...
Amer Physical Soc2016The tip region of a hydraulic fracture driven by a power law fluid
Brice Tanguy Alphonse Lecampion, Fatima-Ezzahra Moukhtari
We investigate the tip region of a power law fluid driven fracture propagating at constant velocity V in an impermeable linear elastic medium with the presence of fluid lag of a priori unknown length. The fracture is loaded by the internal fluid pressure p ...
2016Le carré de la fonction des diviseurs
Let d(n) denote Dirichlet's divisor function for positive integer numbers. This work is primarily concerned with the study of We are interested, in the error term where Ρ3 is a polynomial of degree 3 ; more precisely xΡ3(log x) is the residue of in s = 1. ...
EPFL2007Tensile behaviour of discontinuous two-phase materials
Particle reinforced metal matrix composites are manufactured by high-pressure infiltration. These composites contain roughly 50% by volume of discrete alumina inclusions dispersed homogeneously in a continuous aluminium-based matrix. Three matrices, namely ...
EPFL2007Geometrical and mathematical aspects of the adiabatic theorem of quantum mechanics
This work is devoted to rigorous results about the adiabatic theorem of quantum mechanics. This theorem deals with the time dependent Schrödinger equation when the hamiltonian is a slowly varying function of time, characterizing the so-called adiabatic reg ...
EPFL1992Study of a class of models for self-organization: equilibrium analysis
A new class of nonlinear stochastic models is introduced with a view to explore self-organization. The model consists of an assembly of anharmonic oscillators, interacting via a mean field of system size range, in presence of white, Gaussian noise. Its pro ...
Kluwer Academic Publishers-Plenum Publishers1983