Browsing Mathematics by Title

Browsing Mathematics by Title

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  • 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, ...
  • Sengupta, Indranath (Cornell University Library, 2020-08)
  • Sengupta, Indranath (Springer, 2022-06)
    This article is an expository survey on affine monomial curves, where we discuss some research problems from the perspective of computation.
  • Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath (Cornell University Library, 2021-11)
    We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of semigroups with maximal projective dimension ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-05)
    Given integer e?4, we have constructed a class of symmetric numerical semigroups of embedding dimension e and proved that the cardinality of a minimal presentation of the semigroup is a bounded function of the embedding ...
  • Dixit, Atul; Roy, Arindam (Springer, 2020-09)
    Closed-form evaluations of certain integrals of J0(?), the Bessel function of the first kind, have been crucial in the studies on the electromagnetic field of alternating current in a circuit with two groundings, as can ...
  • Banerjee, Soumyarup; Chakraborty, Kalyan; Hoque, Azizul (Elsevier, 2020-10)
    J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the ...
  • 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 ...
  • Dhama, Shivam; Pahlajani, Chetan D (Cornell University Library, 2020-01)
    In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency 1/? (0<??1), together with small white noise perturbations ...
  • Dhama, Shivam; Pahlajani, Chetan D. (American Institute of Mathematical Sciences (AIMS), 2022-04)
    In this paper, we study the dynamics of a linear control system with given state feedback control law in the presence of fast periodic sampling at temporal frequency $ 1/\delta $ ($ 0 < \delta \II 1 $), together with small ...
  • Bertapelle, Alessandra; Previato, Emma; Saha, Arnab (Cornell University Library, 2020-03)
  • Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2021-04)
    Let K be a field and X, Y denote matrices such that, the entries of X are either indeterminates over K or 0 and the entries of Y are indeterminates over K which are different from those appearing in X. We consider ideals ...
  • Chakraborty, Kalyan; Juyal, Abhishek; Kumar, Shiv Datt; Maji, Bibekananda (World Scientific Publishing, 2018-02)
    Zagier’s conjecture on the asymptotic expansion of the Lambert series ∑n=1∞τ2(n)exp(−nz), where τ(n) is the Ramanujan’s tau function, was proved by Hafner and Stopple. Recently, Chakraborty, Kanemitsu and Maji have ...
  • Dixit, Atul; Glasser, M. Lawrence; Moll, Victor H.; Vignat, Christophe (Springer, 2016-12)
    In 1998 Don Zagier introduced the modified Bernoulli numbers B∗n and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he studied the asymptotic behavior of B∗2n, and also ...
  • Dixit, Atul; Glasser, M. Lawrence; Moll, Victor H.; Vignat, Christophe (SpringerOpen, 2017-07)
    In 1998 Don Zagier introduced the modified Bernoulli numbers B∗nBn∗ and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he studied the asymptotic behavior of B∗2nB2n∗, and ...
  • Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan; Osburn, Robert (Cornell University Library, 2022-04)
    We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics and discuss positivity for the generalized ...
  • 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 (World Scientific Publishing, 2018-07)

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