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:


Another proof of the infinitude of primes, by I. D. Mercer 
	 In American Mathematical Monthly, Volume 127, Issue 10, 2020.
Finite searches, Chowla's cosine problem, and large Newman polynomials, by I. D. Mercer. 
	 In INTEGERS, Volume 19, article A4, 2019.
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



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