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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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Keywords: <I>p</I>-adic <I>L</I>-functions, cyclotomic field, irregular primes
Article copyright: © Copyright 1975 American Mathematical Society