Log-polynomial period functions for nondiscrete Hecke groups

Hassen, Abdulkadir

doi:10.1090/S0002-9939-99-05298-3

Log-polynomial period functions for nondiscrete Hecke groups
HTML articles powered by AMS MathViewer

by Abdulkadir Hassen PDF

Proc. Amer. Math. Soc. 128 (2000), 387-396 Request permission

Abstract:

Existence of automorphic integrals associated with nondiscrete Hecke groups will be considered. Multiplier systems for some of these groups will be discussed.

References

Ronald Evans, A fundamental region for Hecke’s modular group, J. Number Theory 5 (1973), 108–115. MR 314767, DOI 10.1016/0022-314X(73)90063-2
Hassen, Abdulkadir, 1997. Log-Polynomial Period Functions for Hecke Groups. The Ranamujan Journal. To appear.
Hecke, Erich. 1938. Lectures on Dirichlet series, modular functions and quadratic forms. Ann Arbor: Edwards Brothers.
Marvin I. Knopp, Rational period functions of the modular group, Duke Math. J. 45 (1978), no. 1, 47–62. With an appendix by Georges Grinstein. MR 485700
Marvin I. Knopp, Rational period functions of the modular group. II, Glasgow Math. J. 22 (1981), no. 2, 185–197. MR 623004, DOI 10.1017/S0017089500004663
Marvin I. Knopp, On Dirichlet series satisfying Riemann’s functional equation, Invent. Math. 117 (1994), no. 3, 361–372. MR 1283722, DOI 10.1007/BF01232248
Marvin I. Knopp and Mark Sheingorn, On Dirichlet series and Hecke triangle groups of infinite volume, Acta Arith. 76 (1996), no. 3, 227–244. MR 1397315, DOI 10.4064/aa-76-3-227-244
Morgan Ward and R. P. Dilworth, The lattice theory of ova, Ann. of Math. (2) 40 (1939), 600–608. MR 11, DOI 10.2307/1968944
André Weil, Remarks on Hecke’s lemma and its use, Algebraic number theory (Kyoto Internat. Sympos., Res. Inst. Math. Sci., Univ. Kyoto, Kyoto, 1976) Japan Soc. Promotion Sci., Tokyo, 1977, pp. 267–274. MR 0480540