2 papers
math.NT2016
High rank quadratic twists of pairs of elliptic curves
Mohammad Sadek, Mohamed Alaa
Given a pair of elliptic curves and over the rational field whose -invariants are not simultaneously 0 or 1728, Kuwata and Wang proved the existence of i…
math.NT2012
On the Diophantine equation cy^l=(x^p-1)/(x-1)
Mohammad Sadek
Let p, c be distinct odd primes, and l \ge 2 an integer. We find sufficient conditions for the Diophantine equation cy^l=(x^p-1)/(x-1) not to have integer solutions