On special values of generalized p-adic hypergeometric functions

Kaori Ota

Acta Arithmetica (1994)

  • Volume: 67, Issue: 2, page 141-163
  • ISSN: 0065-1036

How to cite

top

Kaori Ota. "On special values of generalized p-adic hypergeometric functions." Acta Arithmetica 67.2 (1994): 141-163. <http://eudml.org/doc/206623>.

@article{KaoriOta1994,
author = {Kaori Ota},
journal = {Acta Arithmetica},
keywords = {generalized -adic Gamma function; ratios of generalized hypergeometric functions; ratios of binomial coefficients; Dwork's theorem},
language = {eng},
number = {2},
pages = {141-163},
title = {On special values of generalized p-adic hypergeometric functions},
url = {http://eudml.org/doc/206623},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Kaori Ota
TI - On special values of generalized p-adic hypergeometric functions
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 2
SP - 141
EP - 163
LA - eng
KW - generalized -adic Gamma function; ratios of generalized hypergeometric functions; ratios of binomial coefficients; Dwork's theorem
UR - http://eudml.org/doc/206623
ER -

References

top
  1. [1] B. Dwork, p-adic cycles, Inst. Hautes Études Sci. Publ. Math. 37 (1969), 27-115. 
  2. [2] B. Dwork, On p-adic differential equations IV, Ann. Sci. École Norm. Sup. 6 (1973), 295-315. Zbl0309.14020
  3. [3] N. Koblitz, The hypergeometric function with p-adic parameters, in: Proceedings, Queens Number Theory Conference, 1979, Queen's University, 1980, 319-328. 
  4. [4] N. Koblitz, q-extension of the p-adic Gamma function, Trans. Amer. Math. Soc. 260 (1980), 449-457. Zbl0443.12008
  5. [5] N. Koblitz, q-extension of the p-adic Gamma function II, Trans. Amer. Math. Soc. 273 (1982), 111-129. Zbl0508.12016
  6. [6] S. Lang, Cyclotomic Fields II, Graduate Texts in Math. 69, Springer, 1980. 
  7. [7] L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, London, 1966. Zbl0135.28101
  8. [8] J. Riordan, Combinatorial Identities, Wiley, New York, 1968. Zbl0194.00502
  9. [9] P. T. Young, Apéry numbers, Jacobi sums, and special values of generalized p-adic hypergeometric functions, J. Number Theory 41 (1992), 231-255. Zbl0759.11042
  10. [10] P. T. Young, On Jacobi sums, multinomial coefficients, and p-adic hypergeometric functions, J. Number Theory, to appear. Zbl0874.11079

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.