4 citations · 9 across the 6 of their papers we have counts for
6 papers
On the Lindelöf Hypothesis for the Riemann Zeta function and Piltz divisor problem
Lahoucine Elaissaoui
In order to well understand the behaviour of the Riemann zeta function inside the critical strip, we show; among other things, the Fourier expansion of the ($k \in \mathbb…
On expansions involving the Riemann zeta function and its derivatives
Lahoucine Elaissaoui
By studying the spectral aspects of the fractional part function in a well-known separable Hilbert space, we show, among other things, a rational approximation of the Riemann zeta…
Fourier Expansion of the Riemann zeta function and applications
Lahoucine Elaissaoui, Zine El-Abidine Guennoun
We study the distribution of values of the Riemann zeta function on vertical lines , by using the theory of Hilbert space. We show among other things,…
Relating log-tangent integrals with the Riemann zeta function
Lahoucine Elaissaoui, Zine El-Abidine Guennoun
We show that integrals involving log-tangent function, with respect to certain square-integrable functions on , can be evaluated by some series involving the harmonic num…
Evaluation of Log-tangent Integrals by series involving
Lahoucine Elaissaoui, Zine El Abidine Guennoun
In this note, we show that the values of integrals of the log-tangent function with respect to any square-integrable function on may be determined by…
New proof of Tauberian theorem of Laplace Transform and Prime Number Theorem
Lahoucine Elaissaoui
We give here a new proof of a Tauberian Theorem of complex Laplace transform using the Theory of measure and theory of function with bounded variations. However we deduce the simpl…