archimedean metrics 1bhargava factorial 1determinant line 1gamma function 1global function fields 1renewal theory 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
Bhargava Gamma functions for determinant-admissible sets
Brian Diaz
The paper extends Bhargava's factorial construction to determinant‑admissible subsets of Dedekind domains, defining a determinant‑valued analogue of the Gamma function whose fibers…
math.NT2026
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…
math.NT2026
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…