E-print Articles

E-print Articles

 

Recent Submissions

  • 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 ...
  • Banerjee, Soumyarup; Kumar, Rahul (Cornell University, 2021-05)
    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 ...
  • Balu, Ambhore Siddhi; Sengupta, Indranath (Cornell University Library, 2021-05)
    We find an explicit expression of the associated primes of monomial ideals as a colon.
  • Cicek, Fatma; Davidoff, Giuliana; Dijols, Sarah; Hammonds, Trajan; Pollack, Aaron; Roy, Manami (Cornell University Library, 2021-04)
    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 ...
  • Guin, Satyajit; Saurabh, Bipul (Cornell University Library, 21-02-21)
    In this article, we obtain a complete list of inequivalent irreducible representations of the compact quantum group Uq(2) for non-zero complex deformation parameters q, which are not roots of unity. The matrix coefficients ...
  • Guin, Satyajit; Saurabh, Bipul (Cornell University Library, 21-02-21)
    Let q=|q|ei??,??(?1,1], be a nonzero complex number such that |q|?1 and consider the compact quantum group Uq(2). For ??Q?{0,1}, we obtain the K-theory of the C?-algebra C(Uq(2)). Then, we produce a spectral triple on Uq(2) ...
  • Kumar, Rahul (Cornell University, 2021-02)
    Ramanujan provided several results involving the modified Bessel function Kz(x) in his Lost Notebook. One of them is the famous Ramanujan-Guinand formula, equivalent to the functional equation of the non-holomorphic ...
  • Saha, Joydip; Sengupta, Indranath; Srivastava, Pranjal (Cornell University Library, 2021-01)
    Our aim in this paper is to study the projective closures of three important families of affine monomial curves in dimension 4, in order to explore possible connections between syzygies and the arithmetic Cohen-Macaulay property.
  • Auton, Lucy C.; Pramanik, Satyajit; Dalwadi, Mohit P.; MacMinn, Christopher W.; Griffiths, Ian M. (Cornell University Library, 2021-01)
    A major challenge in flow through porous media is to better understand the link between pore-scale microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation ...
  • Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat (Cornell University Library, 2021-01)
    George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions ?(q) and ?(q), thereby extending their earlier results with the second author. ...
  • Dixit, Atul; Kesarwani, Aashita; Kumar, Rahul (Cornell University Library, 2020-12)
    An exact transformation, which we call a \emph{master identity}, is obtained for the series ??n=1?a(n)e?ny for a?C and Re(y)>0. As corollaries when a is an odd integer, we derive the well-known transformations of the ...
  • Gupta, Rajat; Kumar, Rahul (Cornell University Library, 2020-12)
    n this article, a q-series examined by Kluyver and Uchimura is generalized. This allows us to find generalization of the identities in the random acyclic digraph studied by Simon, Crippa, and Collenberg in 1993. As one of ...
  • Sengupta, Indranath (Cornell University Library, 2020-08)
  • Dixit, Atul; Kumar, Rahul (Cornell University Library, 2020-05)

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