Zeros of -adic
-functions
Author:
Samuel S. Wagstaff
Journal:
Math. Comp. 29 (1975), 1138-1143
MSC:
Primary 12B30
DOI:
https://doi.org/10.1090/S0025-5718-1975-0387253-7
MathSciNet review:
0387253
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Abstract | References | Similar Articles | Additional Information
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 of Kubota and Leopoldt, several p-adic places of the zero of
were computed for the irregular primes
.
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1975-0387253-7
Keywords:
p-adic L-functions,
cyclotomic field,
irregular primes
Article copyright:
© Copyright 1975
American Mathematical Society