Abstract.
In this paper we show how the coefficients of the power series associated to a p-adic valued measure α on ℤ p are related to the coefficients of the measure β on 1+pℤ p 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.
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Childress, N. The coefficients of a p-adic measure and its Γ-transform. manuscripta math. 116, 249–263 (2005). https://doi.org/10.1007/s00229-004-0481-x
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DOI: https://doi.org/10.1007/s00229-004-0481-x