<i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES
<i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES
Abstract Let K be an imaginary quadratic field and $p\geq 5$ a rational prime inert in K . For a $\mathbb {Q}$ -curve E with complex multiplication by $\mathcal {O}_K$ and good reduction at p , K. Rubin introduced a p -adic L -function $\mathscr {L}_{E}$ which interpolates special values …