Auton, Lucy C.; Pramanik, Satyajit; Dalwadi, Mohit P.; MacMinn, Christopher W.; Griffiths, Ian M.(Cambridge University Press., 2022-02)
A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory ...
The neglected Russian mathematician, N.~S.~Koshliakov, derived beautiful generalizations of the classical Abel--Plana summation formula through a setting arising from a boundary value problem in heat conduction. When we ...
In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subgroup Γ0(N) and also provide an equivalent ...
In his unpublished manuscript on the partition and tau functions, Ramanujan obtained several striking congruences for the partition function p(n), the number of unrestricted partitions of n. The most notable of them are ...
Saha, Kamalesh; Sengupta, Indranath(Cornell University Library, 2021-11)
We generalize some results of v-number for arbitrary monomial ideals by showing that the v-number of an arbitrary monomial ideal is the same as the v-number of its polarization. We prove that the v-number v(I(G)) of the ...
Saha, Joydip; Sengupta, Indranath; Srivastava, Pranja(Cornell University Library, 2021-11)
Our aim in this paper is to study the arithmetically Cohen-Macaulay and the Gorenstein properties of the projective closure of an affine monomial curve obtained by gluing two affine monomial curves. We introduce the notion ...
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 ...