Transcendence measure for η/ω

• Autorzy: N. Saradha
• Języki publikacji: EN

Kategorie tematyczne

• 11J82: Measures of irrationality and of transcendence
• 11J81: Transcendence (general theory)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 1
• Strony: 11-25

Daty

wydano

2000

otrzymano

1998-02-22

poprawiono

1999-09-06

Twórcy

autor

N. Saradha

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

Bibliografia

• [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.
• [2] L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea, New York, 1952.
• [3] A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York, 1960.
• [4] M. Hall, Jr., Combinatorial Theory, 2nd ed., Wiley, 1986.
• [5] S. Lang, Introduction to Transcendental Numbers, Addison-Wesley, Reading, MA, 1966.
• [6] S. Lang, Elliptic Functions, Addison-Wesley, Reading, MA, 1973.
• [7] K. Mahler, On algebraic differential equations satisfied by automorphic functions, J. Austral. Math. Soc. Ser. A 10 (1969), 445-450.
• [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.
• [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.
• [10] E. Reyssat, Approximation algébrique de nombres liés aux fonctions elliptiques et exponentielles, Bull. Soc. Math. France 108 (1980), 47-79.
• [11] T. Schneider, Arithmetische Untersuchungen elliptischer Integrale, Math. Ann. 113 (1937), 1-13.
• [12] A. B. Shidlovski, Transcendental Numbers, Nauka, Moscow, 1987 (in Russian); English transl.: de Gruyter, Berlin, 1989.
• [13] M. Waldschmidt, Transcendence measures of exponentials and logarithms of algebraic numbers, J. Austral. Math. Soc. Ser. A 25 (1978), 445-465.