Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. Barsky, On Morita's p-adic gamma function, Math. Proc. Camb. Phil. Soc. 89 (1981), 23–27.
M. Boyarsky, p-adic gamma functions and Dwork cohomology, Trans. A.M.S., 257 (1980), 359–369.
J. Diamond, The p-adic log gamma function and p-adic Euler constants, Trans. Amer. Math. Soc., 233 (1977), 321–337.
—, On the values of p-adic L-functions at positive integers, Acta Arith. 35 (1979), 223–237.
—, The p-adic gamma measures, Proc. Amer. Math. Soc., 75(2) (1979), 211–217.
—, Hypergeometric series with a p-adic variable, Pacific J. Math., 94(2)(1981), 265–276.
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).
B. Dwork, On the zeta function of a hypersurface, II, Annals of Math., 80 (1964), 227–299.
B. Ferrero and R. Greenberg, On the behavior of p-adic L-functions at s=0, Invent. Math. 50 (1978), 91–102.
N. Koblitz, A new proof of certain formulas for p-adic L-functions, Duke Math. J., 46(2) (1979), 455–468.
—, p-adic Analysis: a Short Course on Recent Work, London Math. Soc. Lect. Note Series No. 46, Cambridge Univ. Press.
T. Kubota and H. Leopoldt, Eine p-adische Theorie der Zetawerte, I, J. Reine Angew. Math. 214/215 (1964), 328–339.
Y. Morita, A p-adic analogue of the Γ-function, J. Fac. Sci. Tokyo 22 (1975), 255–266.
G. Overholtzer, Sum functions in elementary p-adic analysis, Amer. J. Math 74 (1952), 332–346.
L. Washington, A note on p-adic L-functions, J. Number Theory 8(2) (1976), 245–250.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0071542
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12909-7
Online ISBN: 978-3-540-38788-6
eBook Packages: Springer Book Archive