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  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-01)
    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 ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-02)
    Suppose e≥4 be an integer, a=e+1, b>a+(e−3)d, gcd(a,d)=1 and d∤(b−a). Let M={a,a+d,a+2d,…,a+(e−3)d,b,b+d}, which forms a minimal generating set for the numerical semigroup Γe(M), generated by the set M. We calculate the ...
  • Dixit, Atul; Gupta, Rajat; Kumar, Rahul; Maji, Bibekananda (Cornell University Library, 2018-01)
    A comprehensive study of the generalized Lambert series ∑n=1∞nN−2hexp(−anNx)1−exp(−nNx),0<a≤1, x>0, N∈N and h∈Z, is undertaken. Two of the general transformations of this series that we obtain here lead to two-parameter ...
  • Kumar, Rahul (Cornell University Library, 2018-10)
    Recently Dixit, Kesarwani, and Moll introduced a generalization Kz,w(x) of the modified Bessel function Kz(x) and showed that it satisfies an elegant theory similar to Kz(x). In this paper, we show that while K12(x) is an ...
  • Ghosh, Avirup; Mishra, Rohit (Cornell University Library, 2017-10)
    The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS are obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal ...
  • 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 ...
  • Amrutiya, Sanjay; Dubey, Umesh (Cornell University Library, 2018-08)
    In this note, we give a construction of the moduli space of filtered repre- sentations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-07)
  • 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 ...
  • 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 ...
  • Amrutiya, Sanjay (Cornell University Library, 2018-10)
    In this note, we prove that the F-fundamental group scheme is birational invariant for smooth projective varieties. We prove that the F-fundamental group scheme is naturally a quotient of the Nori fundamental group scheme. ...
  • 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 ...
  • 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 ...
  • Dixit, Atul; Maji, Bibekananda (Cornell University Library, 2018-06)
    A generalization of a beautiful q-series identity found in the unorganized portion of Ramanujan's second and third notebooks is obtained. As a consequence, we derive a new three-parameter identity which is a rich source ...
  • 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 ...
  • 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 ...
  • Gupta, Madhu; Mishra, Rohit Kumar; Roy, Souvik (Cornell University Library, 2019-03)
    A new non-linear optimization approach is proposed for the sparse reconstruction of log-conductivities in current density impedance imaging. This framework comprises of minimizing an objective functional involving a least ...
  • Dwivedi, Gaurav; Tyagi, Jagmohan (Cornell University Library, 2016-06)

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