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math.NT2024
Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
Sung Min Lee, Jacob Mayle, Tian Wang
The cyclicity and Koblitz conjectures ask about the distribution of primes of cyclic and prime-order reduction, respectively, for elliptic curves over . In 1976, Serre…
math.NT2024
Distribution of supersingular primes for abelian surfaces
Tian Wang
Let be an absolutely simple abelian surface defined over a number field . We give unconditional upper bounds for the number of prime ideals of with norm…