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  • 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.
  • 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 ...
  • 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 ...
  • Dixit, Atul; Gupta, Rajat (Elsevier, 2021-01)
  • 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 ...
  • 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 ...
  • 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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