# On special values of generalized p-adic hypergeometric functions

Acta Arithmetica (1994)

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

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top## How to cite

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

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