activity
20212026
most citedStrongly Normal Extensions and Algebraic Differential Equations

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

collaborators

10 papers

math.AC2026

Liouvillian first integrals of differential equations: A Galoisian approach

Partha Kumbhakar, Chitrarekha Sahu, Varadharaj R. Srinivasan

Using differential Galois theory---specifically, Magid's theory of the complete Picard-Vessiot closure---we show that a system of first-order differential equations in variable…

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.AC2025★ 1 cited

Strongly Normal Extensions and Algebraic Differential Equations

Partha Kumbhakar, Varadharaj Ravi Srinivasan

Let be a differential field having an algebraically closed field of constants, be a strongly normal extension of , and be the algebraic closure of in We p…

math.AG2024

New and General Type Meromorphic -forms on Curves

Partha Kumbhakar

In this article, we study the existence of new and general type meromorphic -forms on curves through explicit construction. Specifically, we have constructed a large family of n…

math.CA2023

Liouville's Theorem on integration in finite terms for and Weierstrass field extensions

Partha Kumbhakar, Varadharaj R. Srinivasan

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

math.AG2023

A Classification of First Order Differential Equations

Partha Kumbhakar, Ursashi Roy, Varadharaj R. Srinivasan

Let 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…

physics.app-ph2022

Rain energy harvesting using atomically thin Gadolinium Telluride decorated 3D Printed nanogenerator

Partha Kumbhakar, Arko Parui, Rushikesh S. Ambekar +5

The 3D printing technology offers an innovative approach for developing energy storage devices to create facile and low-cost customized electrodes for modern electronics. Generatin…

physics.app-ph2021

Multifold enhancement in magnetization of atomically thin Cobalt Telluride

Solomon Demiss, Raphael Tromer, Saif Siddique +8

Magnetism in semiconductor two-dimensional (2D) materials is gaining popularity due to its potential application in memory devices, sensors, spintronic and biomedical applications.…

physics.app-ph2021

Magnetic Field Dependent Piezoelectricity in Atomically Thin CoTe

Solomon Demiss, Alexey Karstev, Mithun Palit +7

Two dimensional (2D) materials have received a surge in research interest due to their exciting range of properties. Here we show that 2D cobalt telluride (Co2Te3), successfully sy…

physics.app-ph2021

Two-dimensional Cobalt Telluride as Piezo-tribogenerator

Solomon Demiss, Raphael Tromer, Chinmayee Chowde Gowda +7

Two-dimensional (2D) materials have been shown to be efficient in energy harvesting. Here, we report utilization of waste heat to generate electricity via combined piezoelectric an…