The Mordell-Tornheim zeta function and the Herglotz-Zagier function F(x) are two important functions in Mathematics. By generalizing a special case of the former, namely Θ(z, x), we show that the theories of these functions ...

This article studies an extended Nori and local fundamental group schemes of abelian varieties. We also discuss the birational invariance of these group schemes and study their behavior under the Albanese and étale morphisms.

This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the ...

In this article, we study a restricted mixed ray transform acting on second-order tensor fields in 3-dimensional Euclidean space and prove the invertibility of this integral transform using microlocal techniques. Here, the ...

In this article, we study the problem of recovering symmetric m-tensor fields (including vector fields) supported in a unit disk D from a set of generalized V-line transforms, namely longitudinal, transverse, and mixed ...

A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Notebook as well as a corresponding recent result ...

We study a local data inverse problem for the time-dependent convection–diffusion equation in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be flat, ...