Counting Lattice Paths Using Fourier Methods

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This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the f...
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This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the f...
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  • Formats: epub
  • ISBN: 9783030266967
  • Publication Date: 30 Aug 2019
  • Publisher: Springer International Publishing
  • Product language: English
  • Drm Setting: DRM