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math.NT2022
Non-Pólya Fields with Large Pólya Groups Arising from Lehmer Quintics
Nimish Kumar Mahapatra, Prem Prakash Pandey
In this article we construct a new family of quintic non-Pólya fields with large Pólya groups. We study the upper bound of Pólya numbers of such fields and show that the Pólya numb…
math.NT2022
Primes of higher degree and Annihilators of Class groups
Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram
Let be a Galois extension of number fields with Galois group . We discuss a new method to obtain elements in which annihilate the class group of . Using…