3 papers
math.NT2022
Certification of Maass cusp forms of arbitrary level and character
Kieran Child
We present a method for certifying the existence of an arbitrary Maass cusp form for any level and character. This is accomplished by producing a bound on the difference between th…
math.NT2022
Computation of weight 1 modular forms with exotic representations
Kieran Child
We present a deterministic algorithm for computing spaces of weight 1 modular forms with exotic representations. This algorithm is an improved version of Schaeffer's Hecke stabilit…
math.NT2021
Twist-minimal trace formula for holomorphic cusp forms
Kieran Child
We derive an explicit formula for the trace of an arbitrary Hecke operator on spaces of twist-minimal holomorphic cusp forms with arbitrary level and character, and weight at least…