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Log-polynomial period functions for nondiscrete Hecke groups
Author(s):
Abdulkadir
Hassen
Journal:
Proc. Amer. Math. Soc.
128
(2000),
387-396.
MSC (1991):
Primary 11F66
Posted:
July 6, 1999
MathSciNet review:
1662245
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Abstract:
Existence of automorphic integrals associated with nondiscrete Hecke groups will be considered. Multiplier systems for some of these groups will be discussed.
References:
- 1.
- Evans, Ronald. 1973. A Fundamental Region for Hecke's Modular Groups. J. of Number Theory 5: 108-115. MR 47:3319
- 2.
- Hassen, Abdulkadir, 1997. Log-Polynomial Period Functions for Hecke Groups. The Ranamujan Journal. To appear.
- 3.
- Hecke, Erich. 1938. Lectures on Dirichlet series, modular functions and quadratic forms. Ann Arbor: Edwards Brothers.
- 4.
- Knopp, Marvin. 1978. Rational period functions of the modular group. Duke Math. J. 45: 47-62. MR 58:5522
- 5.
- Knopp, Marvin. 1981. Rational period functions of the modular group II. Glasgow Math. J. 22: 185-197. MR 83g:10018
- 6.
- Knopp, Marvin. 1994. On Dirichlet series satisfying Riemann's functional equation. Invent. Math. 117 (1994): 361-372. MR 95h:11087
- 7.
- Knopp, Marvin, and Sheingorn, Mark. 1996. Dirichlet series and Hecke triangle groups of infinite volume. Acta. Arith., 76 (1996): 227-244. MR 97h:11054
- 8.
- Siegel, C. Ludwig. 1949. Transcendental Numbers. Anal. of Math. Stud. Princeton University Press. MR 11:330c
- 9.
- Weil, André. 1977. Some Remarks on Hecke's Lemma and Its Use. In: Alg. Numb. Th., International Symposium, Kyoto, Japan. MR 58:699
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Additional Information:
Abdulkadir
Hassen
Affiliation:
Department of Mathematics, Rowan University, Glassboro, New Jersey 08028
Email:
hassen@rowan.edu
DOI:
10.1090/S0002-9939-99-05298-3
PII:
S 0002-9939(99)05298-3
Keywords:
Dirichlet series with functional equation,
automorphic integrals,
Hecke groups
Received by editor(s):
April 10, 1998
Posted:
July 6, 1999
Communicated by:
Dennis A. Hejhal
Copyright of article:
Copyright
1999,
American Mathematical Society
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