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  • Sengupta, Indranath (Cornell University Library, 2020-08)
  • 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 ...
  • Bertapelle, Alessandra; Previato, Emma; Saha, Arnab (Cornell University Library, 2020-03)
  • 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 ...
  • Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan; Osburn, Robert (Cornell University Library, 2022-04)
    We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics and discuss positivity for the generalized ...
  • 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.
  • Mishra, Rohit Kumar; Monard, Francois; Zou, Yuzhou (Cornell University Library, 2022-03)
    We study various self-adjoint realizations of the X-ray transform on the Euclidean disk D, obtained by considering specific singularly weighted L2 topologies. We first recover the well-known Singular Value Decompositions ...
  • Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru (Cornell University Library, 2021-08)
    We consider two sequences a(n) and b(n), 1≤n<∞, generated by Dirichlet series of the forms ∑n=1∞a(n)λsnand∑n=1∞b(n)μsn, satisfying a familiar functional equation involving the gamma function Γ(s). A general identity is ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2022-03)
    For a graph G, Bolognini et al. have shown JG is strongly unmixed ? JG is Cohen-Macaulay ? G is accessible, where JG denotes the binomial edge ideals of G. Accessible and strongly unmixed properties are purely combinatorial. ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2022-03)
    The study of the edge ideal I(DG) of a weighted oriented graph DG with underlying graph G started in the context of Reed-Muller type codes. We generalize a Cohen-Macaulay construction for I(DG), which Villarreal gave for ...
  • 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.
  • Dixit, Atul; Goswami, Ankush (Cornell University Library, 2022-01)
    We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By specializing our identity, we derive new results of combinatorial significance in connection with N(r,s,m,n), a function counting ...
  • Ghara, Soumitra; Kumar, Surjit; Misra, Gadadhar; Pramanick, Paramita (Cornell University Library, 2022-01)
    Let Bd be the open Euclidean ball in Cd and T:=(T1,…,Td) be a commuting tuple of bounded linear operators on a complex separable Hilbert space H. Let U(d) be the linear group of unitary transformations acting on Cd by the ...
  • 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 ...
  • 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 ...
  • Srivastava, Tanya Kaushal; Tirabassi, Sofia (2021-09)
    In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners and we give a counting formula in case we ...
  • Banerjee, Soumyarup; Kumar, Rahul (Cornell University, 2021-12)
    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 ...
  • 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 ...
  • Gupta, Rajat; Kumar, Rahul (Cornell University Library, 2022-04)
    Very recently, Radchenko and Zagier revived the theory of Herglotz functions. The main goal of the article is to show that one of the formulas on page 220 of Ramanujan's Lost Notebook actually lives in the realms of this ...

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