Corpus ID: 182557443

Modular-type transformations and integrals involving the Riemann ?-function

  title={Modular-type transformations and integrals involving the Riemann ?-function},
  author={A. Dixit},
A survey of various developments in the area of modular-type transformations (along with their generalizations of different types) and integrals involving the Riemann Ξ-function associated to them is given. We discuss their applications in Analytic Number Theory, Special Functions and Asymptotic Analysis. 
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  • A. Dixit
  • Mathematics
  • Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  • 2013
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Analogues of a transformation formula of Ramanujan
We derive two new analogues of a transformation formula of Ramanujan involving the Gamma and Riemann zeta functions present in the Lost Notebook. Both involve infinite series consisting of HurwitzExpand