4 citations · 6 across the 4 of their papers we have counts for
5 papers
The normal order of of the divisor-counting function for invariants of rank 2 Drinfeld modules
Abel Castillo
We compute the first and second moments of the divisor-counting function for the Euler-Poincaré characteristic and the trace of Frobenius for the reductions modulo of a rank 2…
Distribution of the trace of Frobenius on average for rank 2 Drinfeld modules
Abel Castillo
Let be an odd prime power, and . Provided , we compute the average number of primes for which the characteristic po…
On Hilbert's irreducibility theorem
Abel Castillo, Rainer Dietmann
In this paper we obtain new quantitative forms of Hilbert's Irreducibility Theorem. In particular, we show that if is an irreducible polynomial with intege…
Bounded gaps between primes in number fields and function fields
Abel Castillo, Chris Hall, Robert J. Lemke Oliver +2
The Hardy--Littlewood prime -tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs…
Congruences for Ramanujan's f and ω functions via generalized Borcherds products
Jen Berg, Abel Castillo, Robert Grizzard +3
Bruinier and Ono recently developed the theory of generalized Borcherds products, which uses coefficients of certain Maass forms as exponents in infinite product expansions of mero…