Transcendence measure for η/ω

N. Saradha

Acta Arithmetica (2000)

  • Volume: 92, Issue: 1, page 11-25
  • ISSN: 0065-1036

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N. Saradha. "Transcendence measure for η/ω." Acta Arithmetica 92.1 (2000): 11-25. <http://eudml.org/doc/207364>.

@article{N2000,
author = {N. Saradha},
journal = {Acta Arithmetica},
keywords = {simultaneous approximation measure; period; Weierstrass elliptic function},
language = {eng},
number = {1},
pages = {11-25},
title = {Transcendence measure for η/ω},
url = {http://eudml.org/doc/207364},
volume = {92},
year = {2000},
}

TY - JOUR
AU - N. Saradha
TI - Transcendence measure for η/ω
JO - Acta Arithmetica
PY - 2000
VL - 92
IS - 1
SP - 11
EP - 25
LA - eng
KW - simultaneous approximation measure; period; Weierstrass elliptic function
UR - http://eudml.org/doc/207364
ER -

References

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  1. [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. Zbl0763.11032
  2. [2] L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea, New York, 1952. 
  3. [3] A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York, 1960. Zbl0090.26103
  4. [4] M. Hall, Jr., Combinatorial Theory, 2nd ed., Wiley, 1986. 
  5. [5] S. Lang, Introduction to Transcendental Numbers, Addison-Wesley, Reading, MA, 1966. Zbl0144.04101
  6. [6] S. Lang, Elliptic Functions, Addison-Wesley, Reading, MA, 1973. 
  7. [7] K. Mahler, On algebraic differential equations satisfied by automorphic functions, J. Austral. Math. Soc. Ser. A 10 (1969), 445-450. Zbl0207.08302
  8. [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. [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. Zbl0375.10019
  10. [10] E. Reyssat, Approximation algébrique de nombres liés aux fonctions elliptiques et exponentielles, Bull. Soc. Math. France 108 (1980), 47-79. Zbl0432.10018
  11. [11] T. Schneider, Arithmetische Untersuchungen elliptischer Integrale, Math. Ann. 113 (1937), 1-13. Zbl62.0186.02
  12. [12] A. B. Shidlovski, Transcendental Numbers, Nauka, Moscow, 1987 (in Russian); English transl.: de Gruyter, Berlin, 1989. 
  13. [13] M. Waldschmidt, Transcendence measures of exponentials and logarithms of algebraic numbers, J. Austral. Math. Soc. Ser. A 25 (1978), 445-465. Zbl0388.10022

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