activity
19982026
most citedPolynomial interpolation of modular forms for Hecke groups

6 citations · 8 across the 13 of their papers we have counts for

collaborators

14 papers

math.NT2026

Dynamics of multiples of zeta by exponential functions

Barry Brent

We study the family of functions with numerical experiments. For selected sequences on rays, our experiments suggest that suitable fixed p…

math.NT2026

Coherent sequences of matrix spectra

Barry Brent

We attach sequences of matrix spectra to sequences of rational numbers and study them with numerical experiments. The initial segments of the spectrum sequences associated to each…

math.NT2025

Ramanujan's function on small primes

Barry Brent

We denote functions mapping n to the Fourier coefficient of q^n in the expansion of a cusp form as Ramanujan functions. We empirically study the eigenvalues of determinants that re…

math.NT2022

On the constant terms of certain meromorphic modular forms for Hecke groups

Barry Brent

We study polynomials interpolating the (rational) constant terms of certain meromorphic modular forms for Hecke groups. We make observations about the divisibility properties of th…

math.NT2022

Finite field models of Raleigh-Akiyama polynomials for Hecke groups

Barry Brent

Following work of Raleigh and Akiyama (\cite{raleigh1962fourier, akiyama1992note}), in \cite{interpolating} we considered (among other objects) families of weight zero meromorphic…

math.NT2020★ 6 cited

Polynomial interpolation of modular forms for Hecke groups

Barry Brent

Extending work of J. Raleigh, we compute polynomials associated to certain families of modular forms for Hecke groups with the p…