6 citations · 13 across the 9 of their papers we have counts for
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math.NT2013
On shifted primes with large prime factors and their products
Florian Luca, Ricardo Menares, Amalia Pizarro-Madariaga
We estimate from below the lower density of the set of prime numbers p such that p-1 has a prime factor of size at least p^c, where c lies in between 1/4 and 1/2. We also establish…
math.NT2013
On the modularity of reducible mod l Galois representations
Nicolas Billerey, Ricardo Menares
We prove that every odd semisimple reducible (2-dimensional) mod l Galois representation arises from a cuspidal eigenform. In addition, we investigate the possible different types…
math.NT2013★ 3 cited
Equidistribution of Hecke points on the supersingular module
Ricardo Menares
For a fixed prime p, we consider the (finite) set of supersingular elliptic curves over . Hecke operators act on this set. We compute the asymptotic frequence wit…