R. Balasubramanian

activity

20092020

most citedOn Additive Representation Functions

3 citations · 6 across the 14 of their papers we have counts for

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Showing 2011Show all

4 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

Zerofree region for exponenetial sums

R. Balasubramanian

We consider the following two closed sets in $C^{n}$ . One is the diagonal D given by $(z, z, z, ... z_{)}$ . The other is $A = {(z_{1}, z_{2}, z_{3}, ... z_{n}) : .$ $.e^{z_1} + e^{z_2} +e^{z_3} +...…

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…