研究期間：10108~10207;Let K be a global function field with positive characteristic and let A be a commutative algebraic group defined over K. Fixing a positive integer n, we are interested in the distribution of n-torsion points of A modulo primes in K. For a prime p in K where A has good reduction, let N(p) be the number of n-torsion points of the reduction of A modulo p. For any positive number x, denote by M(x) to be the set of primes in K having norm less than or equal to x. We would like to compute the limit, as x goes to infinity, lim ΣN(p)/#M(x), where the sum runs through primes p in M(x).
