Broadly speaking, my research interests lie at the interface between the discrete and the continuous.
A little more specifically, my research interests are:
|COMBINATORICS: ||asymptotic enumeration, probabilistic and analytic methods|
|NUMBER THEORY: ||polynomials, combinatorial and analytic number theory, distribution of primes|
|CLASSICAL ANALYSIS: ||polynomials, location of zeros|
|INFORMATION THEORY: ||sequences over finite alphabets|
Click here for more details about my research interests.
My publications in refereed journals:
Dirichlet's theorem and Jacobsthal's function, by I. D. Mercer.
In INTEGERS, Volume 18, article A26, 2018.
Another proof that there are infinitely many primes, by I. D. Mercer
In American Mathematical Monthly, Volume 124, Issue 2, 2017.
Bounding the peak sidelobe level of binary sequences of all lengths, by I. D. Mercer
In IEEE Transactions on Information Theory, Volume 62, Issue 8, 2016.
Merit factor of Chu sequences and best merit factor of polyphase sequences, by I. D. Mercer
In IEEE Transactions on Information Theory, Volume 59, Issue 9, 2013.
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.
Unimodular roots of special Littlewood polynomials, by I. D. Mercer.
In Canadian Mathematical Bulletin, Volume 49, Issue 3, 2006.
Autocorrelations of random binary sequences, by I. D. Mercer.
In Combinatorics, Probability and Computing, Volume 15, Issue 5, 2006.
If you have access to MathSciNet, you can view my author profile there
Idris Mercer's main page