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math.NT2023
An elementary proof of the Selberg identity for Kloosterman sums
Ping Xi
We give an elementary proof of the Selberg identity for Kloosterman sums, which only requires the orthogonality of additive characters.
math.NT2011
On a problem of Bart Goddard
Ping Xi
We find identities for two series proposed by Bart Goddard in terms of elementary functions.