#### Alladi Ramakrishnan Hall

#### Asymptotic for Counting Similarity Classes of Tuples of Commuting Matrices

#### Uday Bhaskar Sharma

##### IMSc

*Let c(n,k,q) be the number of similarity classes of commuting k-tuples of nxn matrices with entries in a finite field with q elements. We will show that c(n,k,q) is asymptotically q^(([n^2/4]+1)k) as a function of k.*

Done