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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Zeros of $ p$-adic $ L$-functions


Author: Samuel S. Wagstaff
Journal: Math. Comp. 29 (1975), 1138-1143
MSC: Primary 12B30
MathSciNet review: 0387253
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Abstract: The p-adic coefficients and zeros of certain formal power series defined by Iwasawa have been calculated modulo various powers of p. Using these results and Iwasawa's formula for the p-adic L-function $ {L_p}(s;\chi )$ of Kubota and Leopoldt, several p-adic places of the zero of $ {L_p}(s;\chi )$ were computed for the irregular primes $ p \leqslant 157$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0387253-7
PII: S 0025-5718(1975)0387253-7
Keywords: p-adic L-functions, cyclotomic field, irregular primes
Article copyright: © Copyright 1975 American Mathematical Society