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Mathematics: Recent submissions

  • Quadratic embedding constants of graphs: bounds and distance spectra 
    Choudhury, Projesh Nath; Nandi, Raju (Cornell University Library, 2023-06)
    The quadratic embedding constant (QEC) of a finite, simple, connected graph G is the maximum of the quadratic form of the distance matrix of G on the subset of the unit sphere orthogonal to the all-ones vector. The study ...
  • V-line 2-tensor tomography in the plane 
    Ambartsoumian, Gaik; Mishra, Rohit Kumar; Zamindar, Indrani (Cornell University Library, 2023-06)
    In this article, we introduce and study various V-line transforms (VLTs) defined on symmetric 2-tensor fields in R2. The operators of interest include the longitudinal, transverse, and mixed VLTs, their integral moments, ...
  • Blow-up phenomena for a sixth-order partial differential equation with a general nonlinearity 
    Anbu, Arivazhagan; Natesan, Barani Balan; Lingeshwaran, Shangerganesh; Kallumgal, Dravidraj (Springer, 2023-06)
    In this paper, we study the blow-up results for the sixth-order time-dependent partial differential equation (PDE). First, we establish the existence of global solutions for the given equation with the help of the ...
  • Riesz-type criteria for L-functions in the Selberg class 
    Gupta, Shivajee; Vatwani, Akshaa (Cambridge University Press, 2023-05)
    We formulate a generalization of Riesz-type criteria in the setting of L-functions belonging to the Selberg class. We obtain a criterion which is sufficient for the grand Riemann hypothesis (GRH) for L-functions satisfying ...
  • Modular relations involving generalized digamma functions 
    Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Cornell University Library, 2023-06)
    Generalized digamma functions ψk(x), studied by Ramanujan, Deninger, Dilcher, Kanemitsu, Ishibashi etc., appear as the Laurent series coefficients of the zeta function associated to an indefinite quadratic form. In this ...
  • On the extended Nori fundamental group scheme 
    Adroja, Pavan; Amrutiya, Sanjay (Cornell University Library, 2023-06)
    This article studies the extended Nori fundamental group scheme of abelian varieties and its behaviour under the Albanese and ´etale morphisms
  • Moduli of parabolic sheaves and filtered Kronecker modules 
    Amrutiya, Sanjay; Dubey, Umesh V. (Duke University Press, 2023-05)
    We give the functorial moduli construction of pure parabolic sheaves in the sense of Alvarez-Consul and A. King by using the moduli of filtered Kronecker modules which we introduced in our earlier work. We also use a version ...
  • Total negativity: characterizations and single-vector tests 
    Choudhury, Projesh Nath (Elsevier, 2023-09)
    A matrix is called totally negative (totally non-positive) of order k, if all its minors of size at most k are negative (non-positive). The objective of this article is to provide several novel characterizations of total ...
  • On a variant of the Grothendieck inequality and estimates on tensor product norms 
    Gupta, Rajeev; Misra, Gadadhar; Ray, Samya Kumar (Cornell University Library, 2023-05)
    In this paper we propose a generalization of the Grothendieck inequality for pairs of Banach spaces E and F with E being finite dimensional and investigate the behaviour of the Grothendieck constant KG(E,F) implicit in ...
  • Abstract neutral differential equations with state-dependent delay and almost sectorial operators 
    Jaiswal, Anjali; Tyagi, Jagmohan (Wiley, 2023-05)
    We establish the existence and uniqueness of mild solutions of a first-order neutral differential equation with state-dependent delay and almost sectorial operator by using the theory of almost sectorial operators and fixed ...
  • The v-number of monomial ideals 
    Saha, Kamalesh (2023-05-08)
  • Numerical implementation of generalized V-line transforms on 2D vector fields and their inversions 
    Ambartsoumian, Gaik; Jebelli, Mohammad Javad Latifi; Mishra, Rohit Kumar (Cornell University Library, 2023-05)
    The paper discusses numerical implementations of various inversion schemes for generalized V-line transforms on vector fields introduced in [6]. It demonstrates the possibility of efficient recovery of an unknown vector ...
  • Join of affine semigroups 
    Saha, Joydip; Sengupta, Indranath; Srivastava, Pranjal (Cornell University Library, 2023-05)
    In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ideal is determinantal. We also give a ...
  • On Cohen-Macaulay posets of dimension two and permutation graphs 
    Jahangir, Rizwan; Veer, Dharm (Cornell University Library, 2023-05)
    We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that ...
  • On the Möbius invariant principal functions of Pincus 
    Ghosh, Sagar; Misra, Gadadhar (Cornell University Library, 2023-04)
    In this semi-expository short note, we prove that the only homogeneous \textit{pure} hyponormal operator T with rank(T∗T−TT∗)=1, modulo unitary equivalence, is the unilateral shift.
  • On the associated graded ring of semigroup algebras 
    Saha, Joydip; Sengupta, Indranath; Srivastava, Pranjal (Taylor and Francis, 2023-10)
    In this paper, we give a necessary and sufficient condition for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroup using Grobner basis. We generalize the concept of homogeneous numerical ...
  • The v-number of binomial edge ideals 
    Balu, Ambhore Siddhi; Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2023-04)
    The invariant v-number was introduced very recently in the study of Reed-Muller-type codes. Jaramillo and Villarreal (J Combin. Theory Ser. A 177:105310, 2021) initiated the study of the v-number of edge ideals. Inspired ...
  • Group inverses of weighted trees 
    Nandi, Raju (Cornell University Library, 2023-04)
    Let (G,w) be an undirected weighted graph. The group inverse of (G,w) is the weighted graph with the adjacency matrix A#, where A is the adjacency matrix of (G,w). We study the group inverse of singular weighted trees. It ...
  • Explicit transformations for generalized Lambert series associated with the divisor function σ(N)a(n) and their applications 
    Banerjee, Soumyarup; Dixit, Atul; Gupta, Shivajee (Cornell University Library, 2023-04)
    Let σ(N)a(n)=∑dN|nda. An explicit transformation is obtained for the generalized Lambert series ∑∞n=1σ(N)a(n)e-ny for Re(a)>-1 using the recently established Voronoï summation formula for σ(N)a(n), and is extended to a ...
  • A product formula for homogeneous characteristic functions 
    Bagchi, Bhaska; Hazra, Somnath; Misra, Gadadhar (Springer, 2023-06)
    A bounded linear operator T on a Hilbert space is said to be homogeneous if φ(T) is unitarily equivalent to T for all φ in the group Möb of bi-holomorphic automorphisms of the unit disc. A projective unitary representation ...

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