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Koshliakov’s Formula and Guinand’s Formula

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Abstract

In this chapter, we relate two well-known identities, with the names of N.S. Koshliakov and A.P. Guinand attached to them, which were proved by Ramanujan and recorded in his lost notebook before their discoveries by the aforementioned mathematicians. Ramanujan also derived some related formulas that have not been rediscovered by others.

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Andrews, G.E., Berndt, B.C. (2013). Koshliakov’s Formula and Guinand’s Formula. In: Ramanujan's Lost Notebook. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4081-9_3

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