P. P. Pandey

activity

20112026

most citedSmall class number fields in the family

Q (9 m^{2} + 4 m)

5 citations · 5 across the 13 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.NT2011

Catalan's Equation For Even Primes over Quadratic Fields

R. Balasubramanian, Prem Prakash Pandey

This article lists all the solution of the Catalan equation $x^{p} - y^{q} = 1$ for $x, y \in Z [i]$ , when one of the primes $p an d q$ is even.

math.NT2011

Higher Residue Symbol

R. Balasubramanian, Prem Prakash Pandey

Given a prime number $l$ and a finite set of integers $S = {a_{1}, ..., a_{m}}$ we find out the exact degree of the extension $\mathbb{Q}(a_1^{\frac{1}{l}},...,a_m^{\frac{1}{l}})/\mathbb…

math.NT2011

Higher residue symbols

R. Balasubramanian, Prem Prakash Pandey

Given a prime number $l$ and a finite set of integers $S = {a_{1}, ..., a_{m}}$ we find out the exact degree of the extension $\mathbb{Q}(a_1^{\frac{1}{l}},...,a_m^{\frac{1}{l}})/\mathbb…