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A DISTRIBUTION ON ℤp

  • Oh, Jang-Heon (DEPARTMENT OF APPLIED MATHEMATICS SEJONG UNIVERSITY)
  • Published : 2007.07.31

Abstract

In this paper we explicitly compute the p-adic order of $log_p(1-\zeta_{p^n})$.

Keywords

p-adic L-function;p-adic logarithmic function

References

  1. L. Washington, Introduction to Cyclotomic Fields, Graduate Text in Math., Vol. 83, Springer- Verlag, 1982
  2. W. Sinnott, On $the{\mu}$ -invariant of $the{\Gamma}$ -transform of a rational function, Invent. Math. 75 (1984), no. 9, 273-282 https://doi.org/10.1007/BF01388565