15 citations · 15 across the 6 of their papers we have counts for
6 papers
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…
Dimensions of spaces of modular forms
Andrew R. Booker, Min Lee
We prove a conjecture of Ross concerning the value distribution of for , as well as analogous results for general weight $k\in2\mathbb{…
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.
Murmurations of Maass forms
Andrew R. Booker, Min Lee, David Lowry-Duda +2
We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between th…
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 and weight , that is, correlations between their root numbers and Hecke…
L-functions as distributions
Andrew R. Booker
We define an axiomatic class of L-functions extending the Selberg class. We show in particular that one can recast the traditional conditions of an Euler product, analytic continua…