5 citations · 16 across the 33 of their papers we have counts for
4 papers · 2 filters
Minimal regular models of quadratic twists of genus two curves
Mohammad Sadek
Let be a complete discrete valuation field with ring of integers and residue field of characteristic . We assume moreover that is algebraically closed. Let …
Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves
Mohammad Sadek
We study the character sums \[ϕ_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}ϕ\left(x(x^{m}+a)(x^{n}+b)\right),\textrm{ and, } ψ_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}ϕ\left((x^{m}+a)(x^{n}+b…
New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials
W. M. Abd-Elhameed, Y. H. Youssri, N. El-Sissi +1
We establish new connection formulae between Fibonacci polynomials and Chebyshev polynomials of the first and second kinds. These formulae are expressed in terms of certain values…
Edwards Curves and Gaussian Hypergeometric Series
Mohammad Sadek, Nermine El-Sissi
Let be an elliptic curve described by either an Edwards model or a twisted Edwards model over , namely, is defined by one of the following equations $x^2+y^2=…