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Träfflista för sökning "WFRF:(Almkvist Gert) "

Search: WFRF:(Almkvist Gert)

  • Result 1-7 of 7
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1.
  • Almkvist, Gert, et al. (author)
  • Apery Limits of Differential Equations of Order 4 and 5
  • 2008
  • In: MODULAR FORMS AND STRING DUALITY. ; 54, s. 105-123
  • Conference paper (peer-reviewed)abstract
    • The concept of Apery limit for second and third order differential equations is extended to fourth and fifth order equations, mainly of Calabi-Yau type. For those equations obtained from Hadamard products of second and third order equations we can prove that the limits are determined in terms of the factors by a certain formula. Otherwise the limits are found by using PSLQ in Maple and are only conjectural. All identified limits are rational linear combinations of the following numbers: pi(2) Catalan's constant G, Sigma(infinity)(n=1) (n/3)/n(2); pi(3), pi(3), zeta(3), pi(3)root 3, pi(4).
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  • Almkvist, Gert, et al. (author)
  • Polynomials a' la Lehmers and Wilf
  • 2009
  • In: Mathematical Reports of the Academy of Science. - 0706-1994. ; 31:3, s. 65-71
  • Journal article (peer-reviewed)
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  • Almkvist, Gert, et al. (author)
  • Some new formulas for pi
  • 2003
  • In: Experimental Mathematics. - 1944-950X. ; 12:4, s. 441-456
  • Journal article (peer-reviewed)abstract
    • We show how to find series expansions for pi of the form pi = Sigma(n=0)(infinity) S(n)/((mn)(pn)) a(n), is some polynomial in n (depending on m,p,a). We prove that there exist such expansions for m = 8k, p = 4k, a = (-4)(k), for any k, and give explicit examples for such expansions for small values of m, p and a.
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  • Result 1-7 of 7
Type of publication
journal article (5)
conference paper (2)
Type of content
peer-reviewed (6)
pop. science, debate, etc. (1)
Author/Editor
Almkvist, Gert (7)
Meurman, Arne (3)
van Straten, Duco (2)
Zudilin, Wadim (2)
Krattenthaler, C (1)
Petersson, Joakim (1)
University
Lund University (7)
Language
English (6)
Swedish (1)
Research subject (UKÄ/SCB)
Natural sciences (7)

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