Sroyon.Sengupta

Affiliation: University of Florida

Title Of Talk: Higher order dualities between prime ideals

Abstract: This talk aims to provide a generalization to Sweeting and Woo's first order duality between prime ideals, which was primarily inspired by Alladi's Duality identity from 1977. We state and prove the general higher order duality between prime ideals in number rings. We then use the second order duality to obtain the a new formula for the Chebotarev Density involving sums of the generalized Möbius function $\mu_K(I)$ and the prime ideal counting function $\omega_K(I)$. In the end, I will also talk about the duality in a slightly more general setting. The talk will conclude by shedding light on how this duality can be of use further.

WARNING: This page contains MATH-JAX

Last update made Tue Mar 10 21:28:05 CDT 2026.
Please report problems to: fgarvan@ufl.edu