1. Average Behaviors of Invariant Factors in Mordell-Weil Groups of CM Elliptic Curves Modulo p, PDF , Link , Finite Fields and Their Applications, Nov. 2014
2. Average of the First Invariant Factor of the Reductions of Abelian Varieties of CM Type, PDF , Link , International Journal of Number Theory, Mar. 2016
3. Positivity of Constants Related to Elliptic Curves, PDF , Link , Journal of Number Theory, Dec. 2015
4. Average Reciprocals of the Order of a Mod n, PDF , Link , Journal of Number Theory (2016), pp. 62-75
5. Average Results on the Order of a Mod p, PDF , Link , Journal of Number Theory, December 2016, Pages 353368
6. On the Order of a Modulo n, on Average, PDF , Link , International Journal of Number Theory, Dec. 2016
7. The Average Number of Divisors of the Euler Function, PDF , accepted for publication in Ramanujan Journal