Robert P. Langlands

Euler Products

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Yale Mathematical Monographs

Year: 
1967
Type: 
article
Keywords: 
Eisenstein
MathReview: 
419366

Euler Products Cover Page

Editorial comments: The letter to Weil included a number of striking conjectures which eventually changed much of the direction of research in automorphic forms. Some of their consequences were explained in a graduate course given at Princeton in the spring of 1967, and then things were put in a somewhat wider context in a series of lectures at Yale later that Spring. These notes were previously published as the first of the Yale Mathematical Monographs.

School of Mathematics: 

Problems in the Theory of Automorphic Forms

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Lectures in modern analysis and applications III, Lecture Notes in Mathematics

Volume: 
170
Year: 
1970
Type: 
article
Keywords: 
Functoriality
MathReview: 
302614

Editorial comments: The conjectures made in the 1967 letter to Weil were explained here more fully. This appeared originally as a Yale University preprint, later in the published proceedings of a conference in Washington, D.C. Lectures in modern analysis and applications III, Lecture Notes in Mathematics 170, Springer-Verlag, 1970. The lecture is dedicated to Salomon Bochner. 

School of Mathematics: 

On the notion of an automorphic representation

Author: 
Robert P. Langlands
Last Name: 
Langlands
Journal
Journal: 

Proceedings of Symposia in Pure Mathematics XXXIII, AMS

Year: 
1979
Type: 
article
Keywords: 
Eisenstein
MathReview: 
546598

Editorial comments: This originally appeared as a supplement to an article by A. Borel and H. Jacquet in Automorphic forms, representations, and L-functions, Proceedings of Symposia in Pure Mathematics XXXIII, AMS, 1979.

School of Mathematics: 

Letter to Godement

Author: 
Robert P. Langlands
Year: 
1967
Type: 
article

Editorial comments: The letter to Weil that saw the birth of the \(L\)-group was written in January 1967. Somewhat later that same year, Roger Godement asked Langlands to comment on the Ph.D. thesis of Hervé Jacquet. His reply included a number of conjectures on Whittaker functions for both real and \(p\)-adic reductive groups. These were later to be proven, first in the \(p\)-adic case by Shintani for \(\mathrm{GL}_n\) and Casselman Shalika in general, and much later in the real case by a longer succession of people.

School of Mathematics: 

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