The exponential-type generating function of the Riemann zeta-function revisited
In the paper under review, the author introduces Dirichlet series associated with the Poincaré series attached to \(\mathrm{SL}(2, \mathbb{Z})\). In this work, certain integral representations and transformation formulas are presented, that describe the Voronoï-type summation formula for the exponential-type generating function of the Riemann zeta-function. In the form of application, the author establishes a new proof of the Fourier series expansion of holomorphic Poincaré series.
scientific article; zbMATH DE number 7643070
scientific article