Prem Prakash Pandey

activity

20172023

collaborators

4 papers

math.NT2023

Primes of Higher Degree

Prem Prakash Pandey, Mahesh Kumar Ram

Let $K/\Q$ be a cyclic extension of number fields with Galois group $G$ . We study the ideal classes of primes $p$ of $K$ of residue degree bigger than one in the class g…

math.NT2023

Square-free values of polynomials

Prem Prakash Pandey

It is conjectured that all separable polynomials with integers coefficients, satisfying some local conditions, take infinitely many square free values on integer arguments. But not…

math.NT2022

Primes of higher degree and Annihilators of Class groups

Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram

Let $L / K$ be a Galois extension of number fields with Galois group $G$ . We discuss a new method to obtain elements in $Z [G]$ which annihilate the class group of $L$ . Using…

math.GR2017

3k-4 theorem for ordered groups

Prem Prakash Pandey

Recently, G. A. Freiman, M. Herzog, P. Longobardi, M. Maj proved two `structure theorems' for ordered groups \cite{FHLM}. We give elementary proof of these two theorems.