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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
math.NT2012
On elliptic curves whose conductor is a product of two prime powers
Mohammad Sadek
We find all elliptic curves defined over that have a rational point of order , , and whose conductor is of the form , where p, q are two distinct pr…