Koshliakov kernel and identities involving the Riemann zeta function

@article{Dixit2015KoshliakovKA,
  title={Koshliakov kernel and identities involving the Riemann zeta function},
  author={Atul Dixit and Nicolas Robles and Arindam Roy and Alexandru Zaharescu},
  journal={arXiv: Number Theory},
  year={2015}
}
Some integral identities involving the Riemann zeta function and functions reciprocal in a kernel involving the Bessel functions $J_{z}(x), Y_{z}(x)$ and $K_{z}(x)$ are studied. Interesting special cases of these identities are derived, one of which is connected to a well-known transformation due to Ramanujan, and Guinand. 

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