3 papers
math.NT2026
Duality Between Prime Factors and The Prime Number Theorem For Arithmetic Progressions -- Higher Order Dualities
Krishnaswami Alladi, Sroyon Sengupta
In 1977, the first author observed a duality between the largest and smallest prime factors of integers, and established as a consequence some new results on the Möbius function $…
math.NT2026
Higher Order Dualities between Prime Ideals
Sroyon Sengupta
Extending the works of Alladi and Sweeting and Woo, we state and prove the general higher order duality between prime ideals in number rings. We then use the second order duality t…
math.NT2024
Algebraic analogues of results of Alladi-Johnson using the Chebotarev Density Theorem
Sroyon Sengupta
\textit{\small We aim to get an algebraic generalization of Alladi-Johnson's (A-J) work on Duality between Prime Factors and the Prime Number Theorem for Arithmetic Progressions -…