2 papers
math.NT2026
Zeros of Hecke polynomials arising from weak eigenforms
Kevin Gomez
We attach Hecke polynomials to weak Hecke eigenforms of weight and show that, for large , every zero is simple and lies in . The construction pull…
math.NT2025
MacMahonesque partition functions detect sets related to primes
Kevin Gomez
Recent work by Craig, van Ittersum, and Ono constructs explicit expressions in the partition functions of MacMahon that detect the prime numbers. Furthermore, they define generaliz…