Journal Articles

Journal Articles

 

Recent Submissions

  • Amrutiy, Sanjay (SCIELO, 2018-12)
    In this article, we survey some results on geometric methods to study quiver representations, and applications of these results to sheaves, equivariant sheaves and parabolic bundles.
  • Tyagi, Jagmohan (European Mathematical Society (EMS), 2018-10)
    In this note, we establish Leighton's variational lemma for fractional Laplace equations. We use the classical techniques to establish this variational lemma. We also point out several questions concerning the zeros of the ...
  • Dixit, Atul (Indian Mathematical Society, 2018-09)
  • Berndt, Bruce C.; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru (Elsevier, 2018-11)
    Letrk(n) denote the number of representations of the positive integernas thesum ofksquares. We rigorously prove for the first time a Vorono ?? summation formula forrk(n), k?2,proved incorrectly by A. I. Popov and later ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Association for Computing Machinery, 2018-08)
    Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness ...
  • Chatterjee, Ayan; Ghosh, Avirup (Springer, 2018-07)
    Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on the asymptotic boundary ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2018-07)
  • Saha, Joydip; Senguptaa, Indranath; Tripathi, Gaurab (Elsevier, 2018-06)
    In this paper we compute Gr�bner bases for determinantal ideals of the form , where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gr�bner basis structure to determine Betti numbers ...
  • Dixit, Atul; Kumar, Rahul; Maji, Bibekananda (Elsevier, 2018-06)
    In 1914, Hardy proved that infinitely many non-trivial zeros of the Riemann zeta function lie on the critical line using the transformation formula of the Jacobi theta function. Recently the first author obtained an integral ...
  • Misra, Neeldhara; Panolan, Fahad; Rai, Ashutosh; Raman, Venkatesh; Saurabh, Saket (Springer Verlag, 2018-04)
    We address the parameterized complexity of Max Colorable Induced Subgraph on perfect graphs. The problem asks for a maximum sized q-colorable induced subgraph of an input graph G. Yannakakis and Gavril (Inf Process Lett ...
  • Tyagi, Jagmohan (2018-04)
    In this note, we discuss the isolatedness, simplicity and nodal estimate for the first eigenvalue of fractional Laplacian of Kirchhoff type. This work is motivated by the recent works on the fractional eigenvalues.
  • Yadav, Indrajeet; Pahlajani, Chetan D.; Tanner, Herbert G.; Poulakakis, Ioannis (Springer Verlag, 2018-02)
    A network of sensors observes a time-inhomo-geneous Poisson signal and within a fixed time interval has to decide between two hypotheses regarding the signal’s intensity. The paper reveals an interplay between network ...
  • Banerjee, D.; Chakraborty, K.; Kanemitsu, S.; Maji, Bibekananda (Faculty of Mathematics, Kyushu University, 2018-02)
    The Abel-Tauber process consists of the Abelian process of forming the Riesz sums and the subsequent Tauberian process of differencing the Riesz sums, an analogue of the integration-differentiation process. In this article, ...
  • Allender, Eric; Das, Bireswar (Elsevier, 2017-10)
    We show that every problem in the complexity class (Statistical Zero Knowledge) is efficiently reducible to the Minimum Circuit Size Problem (). In particular Graph Isomorphism lies in . This is the first theorem ...
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Hikari, 2017-11)
    In this paper we propose a model for computing a minimal free resolution for ideals of the form I1(XnYn), where Xn is an n n skew-symmetric matrix with indeterminate entries xij and Yn is a generic column matrix with ...
  • Dixit, Atul; Kesarwani, Aashita; Moll, Victor H. (Elsevier, 2017-10)
    A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and asymptotic expansions are obtained for it thereby ...
  • Dhara, Anulekha; Luc, Dinh The; Tinh, Phan Nhat (Springer Verlag, 2012)
    To study the su ciency of an optimization problem, one either imposes some convexity assumptions or consider second order optimality conditions. In this paper we establish second order optimality conditions for nonsmooth ...
  • Chakraborty, Kalyan; Juyal, Abhishek; Kumar, Shiv Datt; Maji, Bibekananda (World Scientific Publishing, 2018-02)
  • Srivastava, Akanksha (Springer, 2017-07)
    This article deals with the study of sign-changing solutions of the nonlinear singularly perturbed reaction-diffusion equation. Sign changing solutions of the nonlinear problem do not appear to have been previously studied ...
  • Pai, D. V. (The Indian Mathematical Society, 2017-01)

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