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Casselman, William

On some results of Atkin and Lehner. (English) Zbl 0239.10015

Math. Ann. 201, 301-314 (1973).
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Cited in 6 Reviews
Cited in 114 Documents

MSC:

11F03 Modular and automorphic functions
11F12 Automorphic forms, one variable
20G05 Representation theory for linear algebraic groups
14H25 Arithmetic ground fields for curves
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\textit{W. Casselman}, Math. Ann. 201, 301--314 (1973; Zbl 0239.10015)
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References:

[1] Atkin, A. O. L., Lehner, J.: Hecke operators on ?0(m). Math. Ann.185, 134-160 (1970). · Zbl 0185.15502
[2] Baily, W., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442-528 (1966). · Zbl 0154.08602
[3] Casselman, W.: On abelian varieties with many endomorphisms and a conjecture of Shimura’s, Inventiones math.12, 225-236 (1971). · Zbl 0213.47303
[4] Jacquet, H., Langlands, R. P.: Automorphic forms on GL(2). Berlin-Heidelberg-New York: Springer Lecture Notes, No.114, 1970. · Zbl 0236.12010
[5] Langlands, R. P.: Problems in the theory of automorphic forms, 18-86. In: Berlin-Heidelberg-New York: Springer Lecture Notes, No.170, 1970. · Zbl 0225.14022
[6] Miyake, T.: On automorphic forms onGL 2 and Hecke operators. Ann. of Math.94, 174-189 (1971). · Zbl 0215.37301
[7] Ogg, A.: Functional equations of modular forms. Math. Ann.183, 337-340 (1969). · Zbl 0191.38102
[8] Ogg, A.: On a convolution ofL-series. Inventiones math.7, 297-312 (1969). · Zbl 0205.50902
[9] Rankin, R.: Contributions to the theory of Ramanujan’s function ?(n) and similar arithmetical functions. II. Proc. Camb. Phil. Soc.35, 357-372 (1939). · Zbl 0021.39202
[10] Satake, I.: Theory of spherical functions on reductive algebraic groups overp-adic fields. Publications Mathematiques I.H.E.S. No. 18. · Zbl 0122.28501
[11] Weil, A.: Dirichlet series and automorphic forms. Berlin-Heidelberg-New York: Springer Lecture Notes. No.189, 1971. · Zbl 0218.10046
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