Georgia Institute of Technology College of Sciences

Let $f$ be an endomorphism of projective space defined over a number field.  When counting rational points ordered by a certain "canonical" height function attached to $f$, we encounter a mysterious asymptotic constant in the main term.  This constant is a product of local factors over the primes of bad reduction of $f$; and these local factors (which take the form of $v$-adic integrals) are rather difficult to calculate explicitly.  In this talk I will present my partial progress towards evaluating these integrals.  No knowledge of arithmetic dynamics will be assumed.