In this paper we show how the coefficients of the power series associated to a p-adic valued measure α on ℤp are related to the coefficients of the measure β on 1+pℤp associated to the Γ-transform of α. In particular, we prove congruences modulo p amongst these coefficients. Finally, we show how these congruences can be used to relate the coefficients of α to the λ-invariant of the Iwasawa series of the Γ-transform of α.
|Original language||English (US)|
|Number of pages||15|
|State||Published - Mar 1 2005|
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