37 citations · 42 across the 6 of their papers we have counts for
6 papers
Bounds on Autocorrelation Coefficients of Rudin-Shapiro Polynomials
J. -P. Allouche, S. Choi, A. Denise +2
We study the autocorrelation coefficients of the Rudin-Shapiro polynomials, proving in particular that their maximum on the interval is bounded from below by $C_1 2^{αn}…
Polynomials whose reducibility is related to the Goldbach conjecture
Peter B. Borwein, Stephen K. K. Choi, Greg Martin +1
We introduce a collection of polynomials , associated to each positive integer , whose divisibility properties yield a reformulation of the Goldbach conjecture. While this…
Sign Changes of the Liouville function on quadratics
Peter Borwein, Stephen K. K. Choi, Himadri Ganguli
Let denote the Liouville function. Complementary to the prime number theorem, Chowla conjectured that \vspace{1mm} \noindent {\bf Conjecture (Chowla).} {\em \begin{equation}…
Completely multiplicative functions taking values in
Peter Borwein, Stephen K. K. Choi, Michael Coons
Define {\em the Liouville function for }, a subset of the primes , by where is the number of prime factors of coming from counting…
On sums of three squares
S. K. K. Choi, A. V. Kumchev, R. Osburn
Let be the number of representations of a positive integer as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the a…
Mean values of Dirichlet polynomials and applications to linear equations with prime variables
S. K. K. Choi, A. V. Kumchev
We prove a new mean-value theorem for Dirichlet polynomials with coefficients given by the von Mangoldt function. We then use our theorem to derive new estimates for certain expone…