Some identities involving certain Hardy sum and Kloosterman sum

TextBy using the properties of Gauss sums and the mean value theorem of the Dirichlet L-function, a hybrid mean value problem involving certain Hardy sum and Kloosterman sum is studied. Two exact computational formulae are given, through which the cancellation phenomenon is revealed.VideoFor a video summary of this paper, please visit https://youtu.be/d-X81xErU7Q.