• Affine semigroups of maximal projective dimension 

  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 ...
• A central limit theorem for linear combinations of logarithms of Dirichlet L-functions 

  Cicek, Fatma (Cornell University Library, 2021-09)
• Explicit identities on zeta values over imaginary quadratic field 

  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 ...
• Construction of Cohen-Macaulay binomial edge ideals of graphs and clutters 

  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 ...
• ASL structures of some quadrics 

  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 ...
• Binomial edge ideals of clutters 

  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.
• Numerical semigroups with unique Apery expansions 

  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 ...
• On row-factorization matrices and generic ideals 

  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 ...
• Colon structure of associated primes of monomial ideals 

  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.
• The completed standard L-function of modular forms on G2 

  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 ...
• Representations and classification of the compact quantum groups Uq(2) for complex deformation parameters 

  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 ...
• K -theory and equivariant spectral triple for the quantum group Uq(2) for complex deformation parameters 

  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) ...
• Extensions of Watson's theorem and the Ramanujan-Guinand formula 

  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 ...
• Projective closures of affine monomial curves 

  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.
• A homogenised model for flow, transport and sorption in a heterogeneous porous medium 

  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 ...
• Generalizations of the Andrews-Yee identities associated with the mock theta functions ?(q) and ?(q) 

  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. ...
• A generalized modified Bessel function and explicit transformations of certain Lambert series 

  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 ...
• On some q-series identities related to a generalized divisor function and their implications 

  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 ...
• Affine monomial curves 

  Sengupta, Indranath (Cornell University Library, 2020-08)
• Superimposing theta structure on a generalized modular relation 

  Dixit, Atul; Kumar, Rahul (Cornell University Library, 2020-05)

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