Partha Kumbhakar

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20212025

most citedStrongly Normal Extensions and Algebraic Differential Equations

1 citations · 1 across the 9 of their papers we have counts for

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math.CA2025

A note on internality of certain differential systems

Partha Kumbhakar, Varadharaj Ravi Srinivasan

We prove two results, generalizing certain theorems by Jin and Moosa, on the internality of the system of differential equations \begin{equation*} \begin{aligned} x' &= f(x)\\ y' &…

math.CA2023

Liouville's Theorem on integration in finite terms for $D_{\infty},$ $SL_{2}$ and Weierstrass field extensions

Partha Kumbhakar, Varadharaj R. Srinivasan

Let $k$ be a differential field of characteristic zero and the field of constants $C$ of $k$ be an algebraically closed field. Let $E$ be a differential field extension of $k$ havi…

A note on internality of certain differential systems

Liouville's Theorem on integration in finite terms for D∞​, SL2​ and Weierstrass field extensions

Liouville's Theorem on integration in finite terms for $D_{\infty},$ $SL_{2}$ and Weierstrass field extensions