Short interval results for k-free values of irreducible polynomials
Small discriminants of complex multiplication fields of elliptic curves over finite fields
We obtain a conditional, under the Generalized Riemann Hypothesis, lower bound on the number of distinct elliptic curves over a prime finite field of elements, such that the discriminant of the quadratic number field containing the endomorphism ring of over is small. For almost all primes we also obtain a similar unconditional bound. These lower bounds complement an upper bound of F. Luca and I. E. Shparlinski (2007).
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Square-free values of n² + 1
Squarefree values of polynomials
Squares in .
Sums of arithmetic functions over values of binary forms
Sur certaines hypothèses concernant les nombres premiers
Sur la composition de polynômes entiers, qui n'admettent que des diviseurs premiers d'une forme déterminée (suite)
Sur les nombres premiers