Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath(Cornell University Library, 2021-11)
We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of semigroups with maximal projective dimension ...
Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat(Springer, 2021-10)
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q), thereby extending their earlier results with the second author. ...
For a one-parameter family of simple metrics of constant curvature (4? for ??(?1,1)) on the unit disk M, we first make explicit the Pestov�Uhlmann range characterization of the geodesic X-ray transform, by constructing a ...
Assuming the validity of diction's conjecture, we show that the set V of values of Euler's torrent function contains arbitrarily large arithmetic progressions with common difference 4. This leads to the question of proving ...
In this article, we study special values of the Dedekind zeta function over an imaginary quadratic field. The values of the Dedekind zeta function at any even integer over any totally real number field is quite well known ...
Saha, Kamalesh; Sengupta, Indranath(Cornell University Library, 2021-04)
In this paper, starting with an arbitrary graph G, we give a construction of a graph [G] with Cohen-Macaulay binomial edge ideal. We have extended this construction for clutters also. We also discuss unmixed and Cohen-Macaulay ...
Saha, Joydip; Sengupta, Indranath(Cornell University Library, 2021-04)
Let K be a field and X, Y denote matrices such that, the entries of X are either indeterminates over K or 0 and the entries of Y are indeterminates over K which are different from those appearing in X. We consider ideals ...
Saha, Kamalesh; Sengupta, Indranath(Cornell University Library, 2021-04)
In this paper, we introduce the notion of binomial edge ideals of a clutter and obtain results similar to those obtained for graphs by Rauf \& Rinaldo in \cite(raufrin). We also answer a question posed in their paper.
Pandit, Sudip; Saha, Joydip; Sengupta, Indranath(Cornell University Library, 2021-04)
In this paper, we carry out a fairly comprehensive study of two special classes of numerical semigroups, one generated by the sequence of partial sums of an arithmetic progression and the other one generated by the partial ...
Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath(Cornell University Library, 2021-05)
Let H be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a complete description of the row-factorization (RF) matrices associated with the pseudo-Frobenius elements of H. RF-matrices ...
Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If π is a cuspidal automorphic representation of G2(A) corresponding ...
Kin, Min Chan; Pramanik, Satyajit; Sharma, Vandita; Mishra, Manoranjan(Cambridge University Press, 2021-06)
The effects of the A + B ? C chemical reaction on miscible viscous fingering in a radial source flow are analysed using linear stability theory and numerical simulations. This flow and transport problem is describ d by a ...
We establish the existence of a non-trivial weak solution to the following singular quasilinear equation with Hardy potential and singular quadratic gradient term: where is a smooth bounded domain, . We show that there ...
In this paper, we obtain a complete list of inequivalent irreducible representations of the compact quantum group Uq(2) for nonzero complex deformation parameters q, which are not roots of unity. The matrix coefficients ...