Zeros of 𝑝-adic 𝐿-functions

Wagstaff, Samuel S.

doi:10.1090/S0025-5718-1975-0387253-7

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: 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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