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A Partial Manuscript on Fourier and Laplace Transforms

  • George E. Andrews
  • Bruce C. Berndt
Chapter

Abstract

Most of the results in the partial manuscript on integral transforms discussed in this chapter are classical. However, the partial manuscript contains one of the highlights of the book, a beautiful new transformation formula involving the logarithmic derivative of the gamma function. An extremely clever device used to prove this transformation formula harkens back to Ramanujan’s paper, New expressions for Riemann’s functions \(\xi(s)\,and\,\Xi(s) \)

Keywords

Zeta Function Summation Formula Riemann Zeta Function Transformation Formula Quarterly Report 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • George E. Andrews
    • 1
  • Bruce C. Berndt
    • 2
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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