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  • Ahlén, Olof, et al. (author)
  • Fourier coefficients attached to small automorphic representations of SLn (A)
  • 2018
  • In: Journal of Number Theory. - : Elsevier BV. - 0022-314X .- 1096-1658. ; 192, s. 80-142
  • Journal article (peer-reviewed)abstract
    • We show that Fourier coefficients of automorphic forms attached to minimal or next-to-minimal automorphic representations of SLn(A) are completely determined by certain highly degenerate Whittaker coefficients. We give an explicit formula for the Fourier expansion, analogously to the Piatetski-Shapiro–Shalika formula. In addition, we derive expressions for Fourier coefficients associated to all maximal parabolic subgroups. These results have potential applications for scattering amplitudes in string theory.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Ahlén, Olof (1)
Gustafsson, Henrik P ... (1)
Kleinschmidt, Axel (1)
Liu, Baiying (1)
Persson, Daniel, 197 ... (1)
University
University of Gothenburg (1)
Chalmers University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2018 (1)

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