Transcendence measure for η/ω
N. Saradha
Acta Arithmetica, Tome 92 (2000), p. 11-25 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207364
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     author = {N. Saradha},
     title = {Transcendence measure for $\eta$/$\omega$},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {11-25},
     zbl = {0946.11014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav92i1p11bwm}
}
N. Saradha. Transcendence measure for η/ω. Acta Arithmetica, Tome 92 (2000) pp. 11-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav92i1p11bwm/

[000] [1] G. Diaz et M. Mignotte, Passage d'une mesure d'approximation à une de transcendance, C. R. Math. Rep. Acad. Sci. Canada 13 (1991), no. 4, 131-134. | Zbl 0763.11032

[001] [2] L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea, New York, 1952.

[002] [3] A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York, 1960. | Zbl 0090.26103

[003] [4] M. Hall, Jr., Combinatorial Theory, 2nd ed., Wiley, 1986.

[004] [5] S. Lang, Introduction to Transcendental Numbers, Addison-Wesley, Reading, MA, 1966. | Zbl 0144.04101

[005] [6] S. Lang, Elliptic Functions, Addison-Wesley, Reading, MA, 1973.

[006] [7] K. Mahler, On algebraic differential equations satisfied by automorphic functions, J. Austral. Math. Soc. Ser. A 10 (1969), 445-450. | Zbl 0207.08302

[007] [8] Yu. V. Nesterenko, Modular functions and transcendence questions, Mat. Sb. 187 (1996), no. 9, 65-96 (in Russian); English transl.: Math. USSR-sb. 187 (1996), 1319-1348.

[008] [9] E. Reyssat, Mesures de transcendance de nombres liés aux fonctions exponentielles et elliptiques, C. R. Acad. Sci. Paris Sér. A 285 (1977), 977-980. | Zbl 0375.10019

[009] [10] E. Reyssat, Approximation algébrique de nombres liés aux fonctions elliptiques et exponentielles, Bull. Soc. Math. France 108 (1980), 47-79. | Zbl 0432.10018

[010] [11] T. Schneider, Arithmetische Untersuchungen elliptischer Integrale, Math. Ann. 113 (1937), 1-13. | Zbl 62.0186.02

[011] [12] A. B. Shidlovski, Transcendental Numbers, Nauka, Moscow, 1987 (in Russian); English transl.: de Gruyter, Berlin, 1989.

[012] [13] M. Waldschmidt, Transcendence measures of exponentials and logarithms of algebraic numbers, J. Austral. Math. Soc. Ser. A 25 (1978), 445-465. | Zbl 0388.10022