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• #### Irrationality of Power Series for Various Number Theoretic Functions ﻿

(2005-10)
We study formal power series whose coefficients are taken to be a variety of number theoretic functions, such as the Euler, Möbius and divisor functions. We show that these power series are irrational over ℤ [X], and we ...
• #### Short Kloosterman Sums for Polynomials over Finite Fields ﻿

(2003)
We extend to the setting of polynomials over a finite field certain estimates for short Kloosterman sums originally due to Karatsuba. Our estimates are then used to establish some uniformity of distribution results in the ...