The Hecke Theory of GL(2) and Quadratic Forms
Abstract
The purpose of this paper is to probe into some of the arithmetic content of Jacquet-Langlands' work concerning the relationship between representations of GL(2) and representations of the multiplicative group of a quaternion algebra.Downloads
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Copyright (c) 1976 Rajat Tandon
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
ARTIN, E. and J. TATE : Class Field Theory, W.A. Benjamin Inc., (1967).
CASSELMAN, W. : On some results of Atkin and Leaner, Math. Ann. 201, (1973), 301-314.
GEL'FAND, I.M., M.I. GRAEV and I.I. PYATETSKII-SHAPIRO : Representation Theory and Automorphic Functions (Translation), W.B. Saunders Company, (1969).
JACQUET, H. and R.P. LANGLANDS : Automorphic forms on GL(2), Lecture notes in mathematics 114, Springer Verlag, Berlin-Heidelberg, New York, (1970).
LIOUVILLE, J. : Journal de Math (2), Volumes 5(1860) and 7(1862), Paris.
MACKEY, G.W. : Induced representations of Groups and Quantum Mechanics, W.A. Benjamin Inc., (1968).
PEPIN, P. : Sur quelques formes quadratiques quaternaires, Journal de Math (4), Vol. 6, Paris (1890).
SCHARLAU, W. : Quadratic forms, Queen's papers in pure and applied mathematics, Queen's university, (1970).
SERRE, J.P. : Corps Locaux, Hermann, Paris, (1962).
TAMAGAWA, T. : Harmonic analysis on adele groups, mimeographed notes taken by L. Goldstein, Advanced Seminar in algebraic groups, Bowdain College, Maine, (1968).
TAMAGAWA, T. : On the theory of Ramification groups and conductors, Japanese journal of Math, Vol. 21, (1951).
WEIL, A. : Basic Number Theory, Springer-Verlag, Berlin-Heidelberg-New York, (1967).
WEIL, A. : Dirichlet series and Automorphic forms, Lecture notes in Math. 189, Springer-Verlag, Berlin-Heidelberg-New York, (1971).
WEIL, A. : Sur certains groupes d'operateurs unitakes,'Acta Math., (1964).
WEISS, E. : Algebraic Number Theory, McGraw Hill Book Company, (1963).