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Number Theory pp 168–175Cite as

p-adic gamma functions and their applications

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1052))

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References

  1. D. Barsky, On Morita's p-adic gamma function, Math. Proc. Camb. Phil. Soc. 89 (1981), 23–27.

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Boyarsky, p-adic gamma functions and Dwork cohomology, Trans. A.M.S., 257 (1980), 359–369.

    MathSciNet  MATH  Google Scholar 

  3. J. Diamond, The p-adic log gamma function and p-adic Euler constants, Trans. Amer. Math. Soc., 233 (1977), 321–337.

    MathSciNet  MATH  Google Scholar 

  4. —, On the values of p-adic L-functions at positive integers, Acta Arith. 35 (1979), 223–237.

    MathSciNet  MATH  Google Scholar 

  5. —, The p-adic gamma measures, Proc. Amer. Math. Soc., 75(2) (1979), 211–217.

    MathSciNet  MATH  Google Scholar 

  6. —, Hypergeometric series with a p-adic variable, Pacific J. Math., 94(2)(1981), 265–276.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Durix, Prolongement de la fonction exponentielle en dehors de son disque de convergence, Seminaire Delange-Pisot-Poitou (1966/67), Theorie des Nombres, Fasc.1, Exp.1, 12pp. (Secretariat Mathematique, Paris, 1968).

    Google Scholar 

  8. B. Dwork, On the zeta function of a hypersurface, II, Annals of Math., 80 (1964), 227–299.

    Article  MathSciNet  Google Scholar 

  9. B. Ferrero and R. Greenberg, On the behavior of p-adic L-functions at s=0, Invent. Math. 50 (1978), 91–102.

    Article  MathSciNet  MATH  Google Scholar 

  10. N. Koblitz, A new proof of certain formulas for p-adic L-functions, Duke Math. J., 46(2) (1979), 455–468.

    Article  MathSciNet  MATH  Google Scholar 

  11. —, p-adic Analysis: a Short Course on Recent Work, London Math. Soc. Lect. Note Series No. 46, Cambridge Univ. Press.

    Google Scholar 

  12. T. Kubota and H. Leopoldt, Eine p-adische Theorie der Zetawerte, I, J. Reine Angew. Math. 214/215 (1964), 328–339.

    MathSciNet  MATH  Google Scholar 

  13. Y. Morita, A p-adic analogue of the Γ-function, J. Fac. Sci. Tokyo 22 (1975), 255–266.

    MathSciNet  MATH  Google Scholar 

  14. G. Overholtzer, Sum functions in elementary p-adic analysis, Amer. J. Math 74 (1952), 332–346.

    Article  MathSciNet  MATH  Google Scholar 

  15. L. Washington, A note on p-adic L-functions, J. Number Theory 8(2) (1976), 245–250.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Queens College, CUNY, 11367, Flushing, NY

    Jack Diamond

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  1. Jack Diamond
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David V. Chudnovsky Gregory V. Chudnovsky Harvey Cohn Melvin B. Nathanson

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© 1984 Springer-Verlag

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Diamond, J. (1984). p-adic gamma functions and their applications. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071542

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  • DOI: https://doi.org/10.1007/BFb0071542

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12909-7

  • Online ISBN: 978-3-540-38788-6

  • eBook Packages: Springer Book Archive

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