On a remarkable formula of Ramanujan

Debraj Chakrabarti, Gopala Krishna Srinivasan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A simple proof of Ramanujan's formula for the Fourier transform of {pipe}Γ (a + it){pipe} 2 is given where a is fixed and has positive real part and t is real. The result is extended to other values of a by solving an inhomogeneous ODE, and we use it to calculate the jump across the imaginary axis.

Original languageEnglish
Pages (from-to)125-135
Number of pages11
JournalArchiv der Mathematik
Issue number2
StatePublished - Aug 2012


  • Fourier transforms
  • Gamma function


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