I am primarily a combinatorialist, interested in asymptotic enumeration and probabilistic methods.
I am also interested in certain topics in number theory and classical analysis.
Two of my specific focuses are sequences with good autocorrelation properties, and polynomials with restricted coefficients.
Click here for more details about my research interests.
My publications in refereed journals:
Merit factor of Chu sequences and best merit factor of polyphase sequences, by I. D. Mercer
To appear in IEEE Transactions on Information Theory.
Newman polynomials not vanishing on the unit circle, by I. D. Mercer.
In INTEGERS, Volume 12, article A67, 2012.
Newman polynomials, reducibility, and roots on the unit circle, by I. D. Mercer.
In INTEGERS, Volume 12, article A6, 2012.
On Furstenberg's proof of the infinitude of primes, by I. D. Mercer.
In American Mathematical Monthly, Volume 116, Issue 4, 2009.
Expected norms of zero-one polynomials, by P. B. Borwein, S. K.-K. Choi,
and I. D. Mercer.
In Canadian Mathematical Bulletin, Volume 51, Issue 4, 2008.
Autocorrelations of random binary sequences, by I. D. Mercer.
In Combinatorics, Probability and Computing, Volume 15, Issue 5, 2006.
Unimodular roots of special Littlewood polynomials, by I. D. Mercer.
In Canadian Mathematical Bulletin, Volume 49, Issue 3, 2006.
Idris Mercer's main page