4 papers
Bhargava Gamma functions for determinant-admissible sets
Brian Diaz
Bhargava's factorial construction attaches to a subset of a Dedekind domain a sequence of factorial ideals determined by local -orderings. We introduce determinant-admissibi…
Factorial Calculi and the Canonical Stirling Defect of the Prime Bhargava Factorial
Brian Diaz
The classical gamma function is singled out among solutions of Euler's recurrence by the Bohr--Mollerup theorem. We develop an analogous normalization theory for the Bhargava facto…
Dirichlet Series and Asymptotics for Generalized Legendre Factorials
Brian Diaz, Pascal Normanyo
Let be a fixed number field, let be a finite set of nonzero prime ideals of , and let be a positive integer-valued function on the prime ideals outside $…
Extending a catalog of mock and quantum modular forms to an infinite class
Allison Arnold-Roksandich, Brian Diaz, Erin Ellefsen +1
Utilizing a classification due to Lemke Oliver of eta-quotients which are also theta functions (here called eta-theta functions), Folsom, Garthwaite, Kang, Treneer, and the fourth…