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Lp(1,χ) mod pL_p(1,\chi) \bmod{p}

Jangheon Oh

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Source: Crossref

Published: Jan 1, 2003

DOI: 10.3792/pjaa.79.11

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Source abstract

In this paper, we compute Lp(1,χ) mod pL_p(1, \chi) \bmod{p} when χ\chi is the nontrivial character of a real quadratic field. As a result, we give a sufficient condition for Iwasawa invariants μp(k)\mu_p(k), λp(k)\lambda_p(k) to vanish when pp splits in a real quadratic field kk.

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