Document Zbl 0425.10041

Linear forms in elliptic integrals. (English) Zbl 0425.10041

Invent. Math. 58, 283-288 (1980).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0425.10041

MSC:

11J81	Transcendence (general theory)
14L10	Group varieties
33C55	Spherical harmonics

Keywords:

elliptic integrals; Weierstrass elliptic function; linear combination with algebraic coefficients; abelian varieties; abelian integrals on modular curves; p-adic analogue; transcendence measure; logarithms of algebraic numbers

Citations:

Zbl 0312.10023

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Full Text: DOI EuDML

References:

[1]	[Ba] Baker, A.: Trancendental Number Theory. Cambridge University Press 1975
[2]	[Be1] Bertrand, D.: Sur les périodes de formes modulaires. C.R. Acad. Sc. Paris288, 531-534 (1979) · Zbl 0407.10025
[3]	[Be2] Bertrand, D.: Problèmes locaux. Astérisque 69-70 Appendice I (1979)
[4]	[BK] Brownawell, D., Kubota, K.: The algebraic independence of Weierstrass functions and some related numbers. Acta Arith.33, 111-149 (1977) · Zbl 0356.10027
[5]	[La] Lang, S.: Algebraic values of meromorphic functions I, Topology3, 183-191 (1965) · Zbl 0133.13804 · doi:10.1016/0040-9383(65)90042-X
[6]	[Ma] Masser, D.: Elliptic Functions and Transcendence. Berlin Heidelberg New York: Springer-Verlag Lecture Notes437 (1975) · Zbl 0312.10023
[7]	[Sch] Schneider, T.: Zur Theorie der Abelschen Funktionen und Integrale. J. Reine angew. Math.183, 110-128 (1941) · JFM 67.0147.02 · doi:10.1515/crll.1941.183.110
[8]	[Wa] Waldschmidt, M.: Groupes algébriques et nombres transcendants. Astérisque 69-70 (1979)

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