Partha Kumbhakar

collaborators

2 papers

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…

math.AG2023

A Classification of First Order Differential Equations

Partha Kumbhakar, Ursashi Roy, Varadharaj R. Srinivasan

Let $k$ be a differential field of characteristic zero with an algebraically closed field of constants. In this article, we provide a classification of first order differential equ…

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

A Classification of First Order Differential Equations

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