E-print Articles

E-print Articles

 

Recent Submissions

  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gurab (Cornell University Library, 2017-03)
  • Kour, Surjeet (Cornell University Library, 2017-01)
    Let G be a finite group and M,N be two normal subgroups of G. Let AutMN(G) denote the group of all automorphisms of G which fix N element wise and act trivially on G/M. Let n be a positive integer. In this article we have ...
  • Dixit, Atul; Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru (Cornell University Library, 2017-01)
  • Sengupta, Indranath; Saha, Joydip; Tripathi, Gaurab (Cornell University Library, 2016-11)
    In this paper we compute the Betti numbers for ideals of the form I1(XY)+J, where X and Y are matrices and J is the ideal generated by the 2×2 minors of the matrix consisting of any two rows of X.
  • Sengupta, Indranath; Tripathi, Gaurab; Saha, Joydip (Cornell University Library, 2016-10)
    In this paper we prove the primality of certain ideals which are generated by homogeneous degree 2 polynomials and occur naturally from determinantal conditions
  • Dixit, Atul; Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru (Cornell University Library, 2016-10)
    Let rk(n) denote the number of representations of the positive integer n as the sum of k squares. In 1934, the Russian mathematician A. I. Popov stated, but did not rigorously prove, a beautiful series transformation ...
  • Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru (Cornell University Library, 2016-08)
    We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order of attention. On page 336, Ramanujan proposes two identities, but the formulas are wrong -- each is vitiated by divergent ...
  • Banerjee, Koustav; Dixit, Atul (Cornell University Library, 2016-07)
    Two new representations for Ramanujan's function σ(q) are obtained. The proof of the first one uses the three-variable reciprocity theorem due to Soon-Yi Kang and a transformation due to R.P. Agarwal while that of the ...
  • Dwivedi, Gaurav; Tyagi, Jagmohan (Cornell University Library, 2016-06)
  • Dwivedi, Gaurav; Tyagi, Jagmohan (Cornell University Library, 2016-06)
  • Kumar, Anil; Pani, Amiya K.; Joshi, Mohan C. (Cornell University Library, 2016-06)
    In this paper, we discuss the distributed control problem governed by the following parabolic integro-differential equation (PIDE) in the abstract form ∂y∂t+Ayy(0)==∫t0B(t,s)y(s)ds+Gu,t∈[0,T],(∗)y0∈X, where, y denotes ...
  • Dwivedi, Gaurav; Tyagi, Jagmohan; Verma, Ram Baran (Cornell University Library, 2016-06)
    In this paper, we consider the bifurcation problem for fractional Laplace equation (−Δ)su=λu+f(λ,x,u)in Ω,u=0in Rn∖Ω, where Ω⊂Rn,n>2s(0<s<1) is an open bounded subset with smooth boundary, (−Δ)s stands for the fractional ...
  • Andrews, George E.; Dixit, Atul; Schultz, Daniel; Yee, Ae Ja (Cornell University Library, 2016-03)
    It was recently shown that qω(q), where ω(q) is one of the third order mock theta functions, is the generating function of pω(n), the number of partitions of a positive integer n such that all odd parts are less than twice ...
  • Pahlajani, Chetan D. (Cornell University Library, 2016-01)
    In this paper, we study the effect of small Brownian noise on a switching dynamical system which models a first-order DC/DC buck converter. The state vector of this system comprises a continuous component whose dynamics ...
  • Kour, Surjeet; Vishakha (Cornell University Library, 2015-05)
    Let G=H×A be a finite group, where H is a purely non-abelian subgroup of G and A is a non-trivial abelian factor of G. Then, for n≥2, we show that there exists an isomorphism ϕ:Autγn(G)Z(G)(G)→Autγn(H)Z(H)(H) such that ...
  • Dwivedi, Gaurav (Cornell University Library, 2015-03)
    In this article we prove the nonlinear analogue of Picone's identity for p−biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a p−biharmonic boundary value problem is ...
  • Roy, Achintya Kumar; Sengupta, Indranath; Tripathi, Gaurab (Cornell University Library, 2015-03)
    Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0,m1,m2,n)=1, such that m0<m1<m2 form an arithmetic progression, n is arbitrary and they minimally generate the ...
  • Espig, Mike; Naraparaju, Kishore Kumar; Schneider, Jan (Max Planck Institute for Mathematics in the Sciences, 2012)
    This paper deals with the approximation of d-dimensional tensors, as discrete representations of arbitrary functions f(x1; : : : ; xd) on [0;1]d, in the so-called Tensor Chain format. The main goal of this paper is to ...

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