Mezroui Soufiane

collaborators

3 papers

math.NT2023

On the Non-negative Integer Solutions to Diophantine Equations $F_{n} - F_{m} = 7^{a}$ and $F_{n} - F_{m} = 1 3^{a}$

Gaha Anouar, Mezroui Soufiane

In this paper, we study the solutions of the equation $F_{n} - F_{m} = p^{a}$ where $p$ is either $7$ or $13$ and $n > m ⩾ 0$ , $a ⩾ 2$ . We confirm the conjecture of Erduvan and K…

math.NT2017

Sign changes of a product of Dirichlet character and Fourier coefficients of half integral weight modular forms

Mezroui Soufiane

Let $f \in S_{k + 1/2} (N, χ)$ be a Hecke eigenform of half integral weight $k + 1/2 (k \geq 2)$ and the real nebentypus $χ = \pm 1$ where the Fourier coefficients $a (n)$ are reals. We prov…

math.NT2017

Sign changes of a product of Dirichlet characters and Fourier coefficients of Hecke eigenforms

Mezroui Soufiane

Let $f \in S_{k} (Γ_{0} (N))$ be a normalized Hecke eigenform of even integral weight $k$ and level $N$ . Let $j \geq 1$ be a positive integer. We prove that for almost all primes $p$ , $p\n…

On the Non-negative Integer Solutions to Diophantine Equations Fn​−Fm​=7a and Fn​−Fm​=13a

Sign changes of a product of Dirichlet character and Fourier coefficients of half integral weight modular forms

Sign changes of a product of Dirichlet characters and Fourier coefficients of Hecke eigenforms

On the Non-negative Integer Solutions to Diophantine Equations $F_{n} - F_{m} = 7^{a}$ and $F_{n} - F_{m} = 1 3^{a}$