nLab Rankin-Selberg method


A method for constructing automorphic L-functions.


  • Wikipedia, Rankin-Selberg method

  • Atle Selberg, Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist, Arch. Math. Naturvid. 43: 47–50, (1940) MR 0002626

  • Rankin, Robert A. (1939), “Contributions to the theory of Ramanujan’s function τ(n) and similar arithmetical functions. I. The zeros of the function Σn=1∞τ(n)/ns on the line R s=13/2. II. The order of the Fourier coefficients of integral modular forms”, Proc. Cambridge Philos. Soc. 35: 351–372, doi:10.1017/S0305004100021095, MR 0000411

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