@incollection{AST_1992__209__293_0, author = {Shiga, Hironori}, title = {On the transcendency of the values of the modular function at algebraic points}, booktitle = {Journ\'ees arithm\'etiques de Gen\`eve - 9-13 septembre 1991}, editor = {Coray D. F. and P\'etermann Y.-F. S}, series = {Ast\'erisque}, pages = {293--305}, publisher = {Soci\'et\'e math\'ematique de France}, number = {209}, year = {1992}, zbl = {0862.11046}, language = {en}, url = {http://archive.numdam.org/item/AST_1992__209__293_0/} }
TY - CHAP AU - Shiga, Hironori TI - On the transcendency of the values of the modular function at algebraic points BT - Journées arithmétiques de Genève - 9-13 septembre 1991 AU - Collectif ED - Coray D. F. ED - Pétermann Y.-F. S T3 - Astérisque PY - 1992 SP - 293 EP - 305 IS - 209 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1992__209__293_0/ LA - en ID - AST_1992__209__293_0 ER -
%0 Book Section %A Shiga, Hironori %T On the transcendency of the values of the modular function at algebraic points %B Journées arithmétiques de Genève - 9-13 septembre 1991 %A Collectif %E Coray D. F. %E Pétermann Y.-F. S %S Astérisque %D 1992 %P 293-305 %N 209 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1992__209__293_0/ %G en %F AST_1992__209__293_0
Shiga, Hironori. On the transcendency of the values of the modular function at algebraic points, dans Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 293-305. http://archive.numdam.org/item/AST_1992__209__293_0/
[B] Lemme de zéros et nombres transcendants, Seminaire Bour-baki, (1985-86). | EuDML | Numdam | Zbl
,[B-W] Algebraic values of hypergeometric functions, Proceedings of Durham conference on transcendental numbers 1986. | Zbl
, ,[H-I] On class numbers of positive definite binary quaternion hermitian forms, J. Fac. Sci. Univ. Tokyo 27 (1980), 549-601. | Zbl
, ,[I] On Siegel Modular forms of genus two, Amer. J. Math. 84 (1962), 175-200. | DOI | Zbl
,[Mo] On transcendency of special values of arithmetic automorphic functions, J. Math. Soc. Japan 24 (1972), 268-274. | DOI | Zbl
,[Mu] Tata lectures on thêta I. | Zbl
,[S-T] Complex multiplication of abelian varieties and its applications to number theory, Math. Soc. Japan (1975).
, ,[S] On the representation of the Picard modular function by theta constants I-II, Pub. Research Inst. Kyoto Univ. 24 (1988), 311-360. | Zbl
,[T] A characterization of arithmetic Fuchsian groups, J. Math. Soc. Japan 27 (1975), 600-612. | DOI | Zbl
,[W-W] Der Überlangerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen, Math. Ann. 273 (1985), 1-15. | DOI | EuDML | Zbl
, ,[Wo] Werte Hypergeometrischer Funktionen, Inv. Math. 92 (1988), 187-216. | DOI | EuDML | Zbl
,[Wü] Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen, Ann. Math. (1989), 501-517. | DOI | Zbl
,