8 citations · 17 across the 4 of their papers we have counts for
4 papers
Residue of a Mod 5 Euler Product
Steven Finch, Pascal Sebah
Consider the product of (1-p^(-s))^(-4) over all primes p=1 mod 5. We evaluate its residue at s=1 and compare with the corresponding Mertens constant of Languasco & Zaccagnini. We…
Typical Dispersion and Generalized Lyapunov Exponents
Steven Finch, Zai-Qiao Bai, Pascal Sebah
Let f(n) denote the number of odd entries in the nth row of Pascal's binomial triangle. We study "average dispersion" and "typical dispersion" of f(n) -- the latter involves comput…
Odd Entries in Pascal's Trinomial Triangle
Steven Finch, Pascal Sebah, Zai-Qiao Bai
The nth row of Pascal's trinomial triangle gives coefficients of (1+x+x^2)^n. Let g(n) denote the number of such coefficients that are odd. We review Moshe's algorithm for evaluati…
Squares and Cubes Modulo n
Steven Finch, Pascal Sebah
We study the asymptotics of the average number of squares (or quadratic residues) in Z_n and Z_n^*. Similar analyses are performed for cubes, square roots of 0 and 1, and cube root…