52 citations
- Centre National de la Recherche ScientifiqueFR2 papers
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math.NT2016
The Riemann Hypothesis: A Qualitative Characterization of the Nontrivial Zeros of the Riemann Zeta Function Using Polylogarithms
Lazhar Fekih-Ahmed
We formulate a parametrized uniformly absolutely globally convergent series of (s) denoted by Z(s, x). When expressed in closed form, it is given by Z(s, x) = (s -- 1)(s) + 1…
math.NT2014★ 4 cited
A New Effective Asymptotic Formula for the Stieltjes Constants
Lazhar Fekih-Ahmed
We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillatio…
math.NT2012
On Two Applications of Herschel's Theorem
Lazhar Fekih-Ahmed
As a first application of a very old theorem, known as Herschel's theorem, we provide direct elementary proofs of several explicit expressions for some numbers and polynomials that…