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  • 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.
  • Piltz divisor problem over number fields a la Voronoi 
    Banerjee, Soumyarup (American Mathematical Society, 2021-01)
    In this article, we study the Piltz divisor problem, which is sometimes called the generalized Dirichlet divisor problem, over number fields. We establish an identity akin to Vorono�'s formula concerning the error term in ...
  • Picone�s identity on hyperbolic space and its applications 
    Tyagi, Jagmohan (Springer, 2021-01)
    We establish Picone�s identity for p-Laplace operator and biharmonic operator on hyperbolic space. We consider both, the ball model BN and the half space model HN. As an application of Picone�s identity, we show that the ...
  • Koshliakov zeta functions I: modular relations 
    Dixit, Atul; Gupta, Rajat (Elsevier, 2021-01)
  • Keller-Segel chemotaxis models: a review 
    Arumugam, Gurusamy; Tyagi, Jagmohan (Springer, 2021-01)
    We recount and discuss some of the most important methods and blow-up criteria for analyzing solutions of Keller-Segel chemotaxis models. First, we discuss the results concerning the global existence, boundedness and blow-up ...
  • 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. ...

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