Rankin-Selberg method

introduction

The Rankin-Selberg method for studying Langlands' automorphic L-functions is to find integral representations, involving certain Fourier coefficients of cusp forms and Eisenstein series, for these functions.

Claus Günther Schmidt, The Critical Numbers of Rankin-Selberg Convolutions of Cohomological Representations, arXiv:1604.04123 [math.NT], April 14 2016, http://arxiv.org/abs/1604.04123
Segal, Avner. “The Degenerate Eisenstein Series Attached to the Heisenberg Parabolic Subgroups of Quasi-Split Forms of \(Spin_8\).” arXiv:1602.01610 [math], February 4, 2016. http://arxiv.org/abs/1602.01610.
Florakis, Ioannis, and Boris Pioline. “On the Rankin-Selberg Method for Higher Genus String Amplitudes.” arXiv:1602.00308 [hep-Th], January 31, 2016. http://arxiv.org/abs/1602.00308.
Hulse, Thomas A., Chan Ieong Kuan, David Lowry-Duda, and Alexander Walker. “The Second Moment of Sums of Coefficients of Cusp Forms.” arXiv:1512.01299 [math], December 3, 2015. http://arxiv.org/abs/1512.01299.
Lin, Jie. “Period Relations for Automorphic Induction and Applications, I.” arXiv:1511.03517 [math], November 11, 2015. http://arxiv.org/abs/1511.03517.
Lin, Jie. “Special Values of Automorphic \(L\)-Functions for \(GL_{n}\times GL_{n’}\) over CM Fields, Factorization and Functoriality of Arithmetic Automorphic Periods.” arXiv:1511.03519 [math], November 11, 2015. http://arxiv.org/abs/1511.03519.
Kaplan, Eyal. “On the Local Theory of Rankin-Selberg Convolutions for \(\mathrm{SO_{2l}\times GL_{n}}\).” arXiv:1506.05773 [math], June 18, 2015. http://arxiv.org/abs/1506.05773.