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)
  • 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 ...
  • 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)
  • 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 ...
  • 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)
  • 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.
  • Saha, Joydip; Tripathi, Gaurab (COCOA, Indian Institute of Technology Gandhinagar, 2016-02-22)
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2021-04)
    In this paper, we introduce the notion of binomial edge ideals of a clutter and obtain results similar to those obtained for graphs by Rauf \& Rinaldo in \cite(raufrin). We also answer a question posed in their paper.
  • Balu, Ambhore Siddhi; Sengupta, Indranath (Cornell University Library, 2021-05)
    We find an explicit expression of the associated primes of monomial ideals as a colon.
  • Fatma, Cicek; Davidoff, Giuliana; Dijols, Sarah; Hammonds, Trajan; Pollack, Aaron; Roy, Manami (Cornell University Library, 2021-04)
    Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If � is a cuspidal automorphic representation of G2(A) corresponding ...
  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2021-04)
    In this paper, starting with an arbitrary graph G, we give a construction of a graph [G] with Cohen-Macaulay binomial edge ideal. We have extended this construction for clutters also. We also discuss unmixed and Cohen-Macaulay ...

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