We evaluate the Selberg trace formula for all discrete, irreducible, cofinite subgroups of PSL₂ ([double-struck capital]R)[italic superscript]n. In particular, this involves studying the spectral theory of the fundamental domain, and the analysis of the appropriate Eisenstein se…
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Automorphic forms, automorphic representations, and arithmetic: NSF-CBMS Regional Conference in Mathematics on Eu…
by Doran, Robert S., Gilbert, George T., NSF-CBMS Regional Conference in Mathematics on Euler Products and Eisenstein Series, Texas Christian University), Dou, Ze-Li
fromProceedings of symposia in pure mathematics
This book presents a treatment of the theory of $L$-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined wit…