Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
Compositio Mathematica (1984)
- Volume: 51, Issue: 3, page 275-324
 - ISSN: 0010-437X
 
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topCremona, J. E.. "Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields." Compositio Mathematica 51.3 (1984): 275-324. <http://eudml.org/doc/89646>.
@article{Cremona1984,
	author = {Cremona, J. E.},
	journal = {Compositio Mathematica},
	keywords = {modular symbols; hyperbolic tessellations; elliptic curve; complex quadratic field; twisting by quadratic characters},
	language = {eng},
	number = {3},
	pages = {275-324},
	publisher = {Martinus Nijhoff Publishers},
	title = {Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields},
	url = {http://eudml.org/doc/89646},
	volume = {51},
	year = {1984},
}
TY  - JOUR
AU  - Cremona, J. E.
TI  - Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields
JO  - Compositio Mathematica
PY  - 1984
PB  - Martinus Nijhoff Publishers
VL  - 51
IS  - 3
SP  - 275
EP  - 324
LA  - eng
KW  - modular symbols; hyperbolic tessellations; elliptic curve; complex quadratic field; twisting by quadratic characters
UR  - http://eudml.org/doc/89646
ER  - 
References
top- [1] A.O.L. Atkin and J. Lehner: Hecke operators on Γ0(m). Math. Ann.185 (1970) 134-160. Zbl0177.34901
 - [2] A.F. Beardon: The geometry of discrete groups. In: Discrete Groups and Automorphic Functions, Academic Press, London1977. MR474012
 - [3] L. Bianchi: Sui Gruppi di Sostituzioni Lineari con Coefficienti appartenenti a Corpi quadratici immaginari. Math. Ann.40 (1892) 332-412. MR1510727JFM24.0188.02
 - [4] J.E. Cremona: Modular Symbols, Oxford D. Phil. Thesis 1981.
 - [5] P. Gérardin and J.P. Labesse: Base change problem for GL(2). In: Automorphic Forms, Representations and L-Functions, Proc. Symp. Pure Math.XXXIII(2), ed. A. Borel and W. Casselman. Zbl0412.10018
 - [6] F. Grunewald: personal communication, November 1981.
 - [7] F. Grunewald, A.-C. Gushoff and J. Mennicke, Komplex - quadratische Zahlkörper kleiner Diskriminante und Pflasterungen des dreidimensionalen hyperbolischen Raumes, preprint. Zbl0488.51015MR661530
 - [8] J. Elstrodt, F. Grunewald and J. Mennicke, On the group PSL2(Z[i]). In: Lect. Notes60, London Math. Soc.1981.
 - [9] F. Grunewald, H. Helling and J. Mennicke: SL2(D) over complex quadratic numberfields I. Algebra i Logica17 (1978) 512-580. Zbl0483.10024MR555260
 - [10] F. Grunewald and J. Mennicke: SL2(D) and Elliptic Curves. Preprint, Bielefeld1978.
 - [11] F. Grunewald and J. Schwermer: Arithmetic quotients of hyperbolic 3-space, cusp forms, and link complements. Duke Math. J.48 (1981) 351-358. Zbl0485.57005MR620254
 - [12] A. Hatcher: Hyperbolic Structures of Arithmetic type on some link complements. Preprint. Zbl0516.57001MR692540
 - [13] H. Jacquet and R.P. Langlands: Automorphic forms on GL(2). Lect. Notes Math.114, Berlin-Heidelberg -New York, 1970. Zbl0236.12010MR401654
 - [14] P.F. Kurčanov: Cohomology of discrete groups and Dirichlet series connected with Jacquet-Langlands cusp forms. Math. USSR Izv.12 (1978) No. 3, 543-555. Zbl0414.10021
 - [15] J.I. Manin: Parabolic points and zeta functions of modular curves. Math. USSR Izv.6 (1972) No. 1, 19-64. Zbl0248.14010MR314846
 - [16] T. Miyake: On automorphic forms on GL2 and Hecke operators. Ann. Math.94 (1971) 174-189. Zbl0204.54201MR299559
 - [17] R.J. Stroeker: Elliptic Curves defined over Imaginary Quadratic Fields, Amsterdam Doctoral Thesis 1975. Zbl0342.14014MR450290
 - [18] R.G. Swan: Generators and relations for certain special linear groups. Advances in Math.6 (1971) 1-77. Zbl0221.20060MR284516
 - [19] J. Tate: Algorithm for determining the singular fiber in an elliptic pencil. In: Modular Functions of one Variable IV. Lect. Notes Math.476Berlin -Heidelberg-New York1975. Zbl1214.14020MR393039
 - [20] J. Tate: The arithmetic of elliptic curves. Inv. Math.23 (1974) 179-206. Zbl0296.14018MR419359
 - [21] D.J. Tingley: Elliptic Curves uniformized by Modular Functions, Oxford D. Phil. Thesis 1975.
 - [22] A. Weil: Über die Bestimmung Dirichletscher Reihen durch Functionalgleichungen. Math. Ann.168 (1967) 149-156. Zbl0158.08601MR207658
 - [23] A. Weil: Dirichlet series and automorphic forms. Lect. Notes Math.189, Berlin- Heidelberg-New York1971. Zbl0218.10046
 - [24] A. Weil: Zeta functions and Mellin transforms. Colloquium on Algebraic Geometry, Bombay1968, 409-426. Zbl0193.49104MR262247
 
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