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arXiv · 1603.08230

The normal order of of the divisor-counting function for invariants of rank 2 Drinfeld modules

Abel Castillo
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Abstract

We compute the first and second moments of the divisor-counting function for the Euler-Poincar\'{e} characteristic and the trace of Frobenius for the reductions modulo $p$ of a rank 2 Drinfeld module with nontrivial endomorphism ring, as the prime $p$ varies over the primes of ordinary reduction of the Drinfeld module. From these moments we derive the normal order of the number of prime divisors of these invariants.

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Abel Castillo. 2016-03-27. The normal order of of the divisor-counting function for invariants of rank 2 Drinfeld modules. https://arxiv.org/abs/1603.08230

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