Irrationality measures of the values of hypergeometric functions

Masayoshi Hata

Acta Arithmetica (1992)

  • Volume: 60, Issue: 4, page 335-347
  • ISSN: 0065-1036

How to cite

top

Masayoshi Hata. "Irrationality measures of the values of hypergeometric functions." Acta Arithmetica 60.4 (1992): 335-347. <http://eudml.org/doc/206442>.

@article{MasayoshiHata1992,
author = {Masayoshi Hata},
journal = {Acta Arithmetica},
keywords = {Legendre polynomials; irrationality measures; values of hypergeometric functions},
language = {eng},
number = {4},
pages = {335-347},
title = {Irrationality measures of the values of hypergeometric functions},
url = {http://eudml.org/doc/206442},
volume = {60},
year = {1992},
}

TY - JOUR
AU - Masayoshi Hata
TI - Irrationality measures of the values of hypergeometric functions
JO - Acta Arithmetica
PY - 1992
VL - 60
IS - 4
SP - 335
EP - 347
LA - eng
KW - Legendre polynomials; irrationality measures; values of hypergeometric functions
UR - http://eudml.org/doc/206442
ER -

References

top
  1. [1] K. Alladi and M. L. Robinson, Legendre polynomials and irrationality, J. Reine Angew. Math. 318 (1980), 137-155. 
  2. [2] A. Erdélyi et al., Higher Transcendental Functions, Vol. 1, New York 1953. Zbl0051.30303
  3. [3] M. Hata, On the linear independence of the values of polylogarithmic functions, J. Math. Pures Appl. 69 (1990), 133-173. Zbl0712.11040
  4. [4] M. Hata, Legendre type polynomials and irrationality measures, J. Reine Angew. Math. 407 (1990), 99-125. Zbl0692.10034
  5. [5] M. Huttner, Irrationalité de certaines intégrales hypergéométriques, J. Number Theory 26 (1987), 166-178. Zbl0617.10026
  6. [6] E. Reyssat, Mesures de transcendance pour les logarithmes de nombres rationnels, in: Progr. Math. 31, Birkhäuser, 1983, 235-245. Zbl0522.10023
  7. [7] G. Rhin, Approximants de Padé et mesures effectives d'irrationalité, in: Progr. Math. 71, Birkhäuser, 1987, 155-164. Zbl0632.10034

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.