E-print Articles

E-print Articles

 

Recent Submissions

  • Sharan, N. Guru (Cornell University Library, 2025-07)
    The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated to integer partitions. We show its connections with the Durfee triangle of the ...
  • Pahlajani, Chetan D. (Cornell University Library, 2025-06)
    In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full ...
  • Biermann, Jennifer; Negri, Emanuela De; Gasanova, Oleksandra; Musapaşaoğlu, Aslı; Roy, Sudeshna (Cornell University Library, 2025-06)
  • Choudhury, Projesh Nath; Panigrahy, Krushnachandra (Cornell University Library, 2025-06)
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2025-06)
    We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent ...
  • Biswas, Surajit; Saurabh, Bipul (Cornell University Library, 2025-04)
    We compute the spectral dimension, the dimension of a symmetric random walk, and the Gelfand-Kirillov dimension for compact Vilenkin groups. As a result, we show that these dimensions are zero for any compact, totally ...
  • Chahal, Bittu; Elma, Ertan; Fellini, Nic; Vatwani, Akshaa; Vo, Do Nhat Tan (Cornell University Library, 2025-03)
  • Adak, Rajat; Nanoti, Saraswati Girish; Tale, Prafullkumar (Cornell University Library, 2025-02)
    In this article, we revisit the complexity of the reconfiguration of independent sets under the token sliding rule on chordal graphs. In the \textsc{Token Sliding-Connectivity} problem, the input is a graph G and an integer ...
  • Abhishek, Anuj; Mishra, Rohit Kumar; Thakkar, Chandni (Cornell University Library, 2025-02)
    In this work, we study a set of generalized Radon transforms over symmetric m-tensor fields in Rn. The longitudinal/transversal Radon transform and corresponding weighted integral transforms for symmetric m-tensor field ...
  • Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Cornell University Library, 2025-02)
    A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Notebook as well as a corresponding recent result ...
  • Sathyanarayana, Sumukha; Sharan, N. Guru (Cornell University Library, 2025-01)
    In this paper, we establish Kronecker limit type formulas for the Mordell-Tornheim zeta function Θ(r,s,t,x) as a function of the second as well as the third arguments. As an application of these formulas, we obtain results ...
  • Stefani, Alessandro De; Masuti, Shreedevi K.; Rossi, Maria Evelina; Verma, Jugal K. (Cornell University Library, 2024-12)
    We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in ...
  • Dixit, Atul; Kumar, Gaurav (Cornell University Library, 2024-11)
    Page 27 of Ramanujan's Lost Notebook contains a beautiful identity which not only gives, as a special case, a famous modular relation between the Rogers-Ramanujan functions G(q) and H(q) but also a relation between two ...
  • Adroja, Pavan; Amrutiya, Sanjay (Cornell University Library, 2024-11)
    In this article, we study the various fundamental groupoid schemes and semi-finite bundles on complex tori and Riemann surfaces. We have computed fundamental groupoid of anisotropic conic, Klein bottle and abelian varieties. ...
  • Chorge, Shashank; Dixit, Atul (Cornell University Library, 2024-10)
    We derive Vorono\"{\dotlessi} summation formulas for the Liouville function λ(n), the Möbius function μ(n), and for d2(n), where d(n) is the divisor function. The formula for λ(n) requires explicit evaluation of certain ...
  • Thakkar, Chandni (Cornell University Library, 2024-09)
    In this article, we study a restricted mixed ray transform acting on second-order tensor fields in 3-dimensional Euclidean space and prove the invertibility of this integral transform using microlocal techniques. Here, the ...
  • Choudhury, Projesh Nath; Yadav, Shivangi (Cornell University Library, 2027-07)
    A matrix A∈Rm×n is strictly sign regular/SSR (or sign regular/SR) if for each 1≤k≤min{m,n}, all k×k minors of A (or non-zero k×k minors of A) have the same sign. This class of matrices contains the totally positive matrices, ...
  • Kumar, Pranav; Purohit, Anamika (Cornell University Library, 2024-07)
    We study a local data inverse problem for the time-dependent Convection-Diffusion Equation (CDE) in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be ...
  • Bhuva, Akshay; Biswas, Surajit; Saurabh, Bipul (Cornell University Library, 2024-06)
    In this article, we study two families of quantum homogeneous spaces, namely, SOq(2n+1)/SOq(2n−1), and SOq(2n)/SOq(2n−2). By applying a two-step Zhelobenko branching rule, we show that the C∗-algebras C(SOq(2n+1)/SOq(2n−1)), ...
  • Biswas, Surajit; Saurabh, Bipul (Cornell University Library, 2024-06)
    The notion of spectral dimension was introduced by Chakraborty and Pal in \cite{cp}. In this paper, we show that the spectral dimension of the ring of p-adic integers, Zp, is equal to its manifold dimension, which is 0. ...

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