On Dirichlet series and Hecke triangle groups of infinite volume
Marvin I. Knopp ; Mark Sheingorn
Acta Arithmetica, Tome 76 (1996), p. 227-244 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1996-01-01
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     author = {Marvin I. Knopp and Mark Sheingorn},
     title = {On Dirichlet series and Hecke triangle groups of infinite volume},
     journal = {Acta Arithmetica},
     volume = {76},
     year = {1996},
     pages = {227-244},
     zbl = {0848.11021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav76i3p227bwm}
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Marvin I. Knopp; Mark Sheingorn. On Dirichlet series and Hecke triangle groups of infinite volume. Acta Arithmetica, Tome 76 (1996) pp. 227-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav76i3p227bwm/

[000] [1] A. Beardon, The Geometry of Discrete Groups, Grad. Texts in Math. 91, Springer, New York, 1983.

[001] [2] S. Bochner, Some properties of modular relations, Ann. of Math. 53 (1951), 332-363. | Zbl 0042.32101

[002] [3] K. Chandrasekharan and R. Narasimhan, Hecke's functional equation and arithmetical identities, Ann. of Math. 74 (1961), 1-23. | Zbl 0107.03702

[003] [4] M. Eichler, Grenzkreisgruppen und kettenbruchartige Algorithmen, Acta Arith. 11 (1965), 169-180. | Zbl 0148.32503

[004] [5] H. Hamburger, Über die Riemannsche Funktionalgleichung der ζ-Funktion, Math. Z. 10 (1921), 240-254. | Zbl 48.1210.03

[005] [6] E. Hecke, Herleitung des Euler-Produktes der Zetafunktion und einiger L-Reihen aus ihr Funktionalgleichung, Math. Ann. 119 (1944), 266-287. | Zbl 0028.40503

[006] [7] M. Knopp, A corona theorem for automorphic forms and related results, Amer. J. Math. 91 (1969), 599-618. | Zbl 0185.15402

[007] [8] M. Knopp, On Dirichlet series satisfying Riemann's functional equation, Invent. Math. 117 (1994), 361-372. | Zbl 0816.11032

[008] [9] M. Knopp, On the growth of entire automorphic integrals, Results in Math. 8 (1985), 146-152. | Zbl 0588.30051

[009] [10] M. Knopp, Some new results on the Eichler cohomology of automorphic forms, Bull. Amer. Math. Soc. 80 (1974), 607-632. | Zbl 0292.10022

[010] [11] J. Lehner, Automorphic forms with preassigned periods, J. Res. Nat. Bur. Standards Sect. B 73 (1969), 153-161. | Zbl 0185.33501

[011] [12] C. L. Siegel, Bemerkung zu einem Satz von Hamburger über die Funktionalgleichung der Riemannschen Zetafunktion, Math. Ann. 86 (1922), 276-279. | Zbl 48.1216.01