Richa Sharma

activity

20182026

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Showing 2018Show all

4 papers · 1 filter

math.NT2018

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations

Kalyan Chakraborty, Azizul Hoque, Richa Sharma

It is well-known that for $p = 1, 2, 3, 7, 11, 19, 43, 67, 163$ , the class number of $Q (- p)$ is one. We use this fact to determine all the solutions of $x^{2} + p^{m} = 4 y^{n}$ …

math.NT2018

On the Diophantine equation $f (x) = 2 f (y)$

Sanjay Bhatter, Richa Sharma

Let $f (x) = x^{2} (x^{2} - 1) (x^{2} - 2) (x^{2} - 3) .$ We prove that the Diophantine equation $f (x) = 2 f (y)$ has no solutions in positive integers $x$ and $y$ , except $(x, y) = (1, 1)$ .

math.NT2018

On the solutions of a Lebesgue - Nagell type equation

Sanjay Bhatter, Azizul Hoque, Richa Sharma

We find all positive integer solutions in $x, y$ and $n$ of $x^{2} + 1 9^{2 k + 1} = 4 y^{n}$ for any non-negative integer $k$ .

math.RA2018

A Note on the Primary Decomposition of k-Ideals in Semirings

Ram Parkash Sharma, Richa Sharma, S. Kar +1

We establish the primary decomposition and uniqueness of primary decomposition for k-ideals in commutative Noetherian semirings.

Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations

On the Diophantine equation f(x)=2f(y)

On the solutions of a Lebesgue - Nagell type equation

A Note on the Primary Decomposition of k-Ideals in Semirings

On the Diophantine equation $f (x) = 2 f (y)$