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Computation of the zeros of $ p$-adic $ L$-functions. II

Authors: R. Ernvall and T. Metsänkylä
Journal: Math. Comp. 62 (1994), 391-406
MSC: Primary 11S40; Secondary 11R20, 11R23, 11Y40
MathSciNet review: 1203734
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Abstract: The authors have carried out a computational study of the zeros of Kubota-Leopoldt p-adic L-functions. Results of this study have appeared recently in a previous article. The present paper is a sequel to that article, dealing with the computation of the zeros under certain conditions that complicate the original situation.

References [Enhancements On Off] (What's this?)

  • [1] S. Amano, Eisenstein equations of degree p in a $ \mathfrak{p}$-adic field, J. Fac. Sci. Univ. Tokyo Sect. 1A Math. 18 (1971), 1-21. MR 0308086 (46:7201)
  • [2] R. Ernvall and T. Metsänkylä, Computation of the zeros of p-adic L-functions, Math. Comp. 58 (1992), 815-830; Supplement, S37-S53. MR 1122068 (92j:11121)
  • [3] L. C. Washington, Introduction to cyclotomic fields, Springer, Berlin and New York, 1982. MR 718674 (85g:11001)

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Keywords: p-adic L-functions, computation of zeros, factorization of polynomials, Newton's tangent method, Abelian fields, Iwasawa theory
Article copyright: © Copyright 1994 American Mathematical Society

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