A. Booker

collaborators

4 papers

math.NT2026

A generalisation of the Euclid-Mullin sequences

Andrew R. Booker, Omri Simon

We extend Mullin's prime-generating procedures to produce sequences of primes lying in given residue classes. In particular we study the sequences generated by cyclotomic polynomia…

math.NT2025

Dimensions of spaces of modular forms

Andrew R. Booker, Min Lee

We prove a conjecture of Ross concerning the value distribution of $dim S_{2}^{new} (I^_{0} (N))$ for $N \in N$ , as well as analogous results for general weight $k\in2\mathbb…

math.NT2025

Sign patterns of Fourier coefficients of modular forms

Andrew R. Booker

We give conditions under which a self-dual holomorphic cusp form is determined up to scalar multiplication by the signs of its Fourier coefficients.

math.NT2025

Murmurations of modular forms in the weight aspect

Jonathan Bober, Andrew R. Booker, Min Lee +1

We prove the existence of "murmurations" in the family of holomorphic modular forms of level $1$ and weight $k \to \infty$ , that is, correlations between their root numbers and Hecke…