3 papers
math.NT2026
Automorphic vector-forms using the Cohn-Elkies magic functions
Michael Andrew Henry
In this study, we introduce the theory of what we call Hecke vector-forms. A Hecke vector-form can be viewed as a vector function representation of some quasiautomorphic form that…
math.NT2026
A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval
Michael Andrew Henry
We prove an inequality featuring three well-known functions from analysis, namely the cotangent, the Euler-Riemann zeta function, and the digamma function. Aside from a simple proo…
math.NT2025
A new kind of automorphic form and a proof of the essential transformation laws
Michael Andrew Henry
We utilize the structure of quasiautomorphic forms over an arbitrary Hecke triangle group to define a new vector analogue of an automorphic form. We supply a proof of the functiona…