Under GRH, the count of primes p ≤ x with Frobenius trace a_{1,p}(A) = t is ≪ x to a power strictly less than 1, yielding that |a_{1,p}(A)| exceeds p to a positive power for almost all p.
Hall, An open image theorem for a general class of abelian varieties, Bulletin of the London Mathematical Society 43, No
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2022 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Bounds for the distribution of the Frobenius traces associated to a generic abelian variety
Under GRH, the count of primes p ≤ x with Frobenius trace a_{1,p}(A) = t is ≪ x to a power strictly less than 1, yielding that |a_{1,p}(A)| exceeds p to a positive power for almost all p.