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p-Adic algorithms and the computation of zeros of p-adic l-functions

  • Computational Number Theory
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Book cover EUROCAL '85 (EUROCAL 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 204))

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References

  1. IWASAWA, K.: Lectures on p-adic L-functions. Ann. of Math. Studies No. 74, Princeton University Press, Princeton, N.J., 1972.

    Google Scholar 

  2. KUBOTA, T., and LEOPOLDT, H.W.: Eine p-adische Theorie der Zetawerte. I. Einführung der p-adischen Dirichletschen L-Funktionen. J. reine u. angew. Math. 214/215 (1964), 328–339.

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  3. LAMPRECHT, K.: Integration auf proendlichen Gruppen und p-adische L-Funktionen. Diplomarbeit, Saarbrücken 1984.

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  4. LANG, S.: Cyclotomic Fields, I, II. Springer-Verlag, New York·Heidelberg·Berlin 1978, 1980.

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  5. MAZUR, B., and WILES, A.: Analogies between function fields and number fields. Amer. J. Math. 105 (1983), 507–521.

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  6. WAGSTAFF, S.S., Jr.: Zeros of p-adic L-functions. Math. Comp. 29 (1975), 1138–1143.

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  7. WAGSTAFF, S.S., Jr.: Zeros of p-adic L-functions, II. Number Theory Related to Fermat's Last Theorem, Birkhäuser Verlag, Boston 1982, 297–308.

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  8. WASHINGTON, L.C.: A note on p-adic L-functions. J. Number Theory 8 (1976), 245–250.

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  9. WASHINGTON, L.C.: Introduction to Cyclotomic Fields. Springer-Verlag, New York·Heidelberg·Berlin 1982.

    Google Scholar 

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Bob F. Caviness

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Lamprecht, K., Zimmer, H.G. (1985). p-Adic algorithms and the computation of zeros of p-adic l-functions. In: Caviness, B.F. (eds) EUROCAL '85. EUROCAL 1985. Lecture Notes in Computer Science, vol 204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15984-3_319

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  • DOI: https://doi.org/10.1007/3-540-15984-3_319

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  • Print ISBN: 978-3-540-15984-1

  • Online ISBN: 978-3-540-39685-7

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