4 papers
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…
Divisibility of the class numbers of imaginary quadratic fields
Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi +1
For a given odd integer , we provide some families of imaginary quadratic number fields of the form whose ideal class group has a subgroup isomorp…
Distribution of prime ideals of higher residue degree across ideal classes in the class groups
Prem Prakash Pandey
In this article we investigate the distribution of prime ideals of residue degree bigger than one across the ideal classes in the class group of a number field . A criterion for…
Higher residue symbols
R. Balasubramanian, Prem Prakash Pandey
Given a prime number and a finite set of integers we find out the exact degree of the extension $\mathbb{Q}(a_1^{\frac{1}{l}},...,a_m^{\frac{1}{l}})/\mathbb…