2 citations · 3 across the 7 of their papers we have counts for
7 papers
Counting numbers that are divisible by the product of their digits
Qizheng He, Carlo Sanna
Let be a positive integer. A natural number is said to be a base- Zuckerman number if it is divisible by the product of its base- digits. Let be…
On the number of residues of certain second-order linear recurrences
Federico Accossato, Carlo Sanna
For every monic polynomial with , let be the set of all linear recurrences with values in and char…
On the distribution of the entries of a fixed-rank random matrix over a finite field
Carlo Sanna
Let be an integer, let be a finite field of elements, and let be a nonempty proper subset of . Moreover, let be…
On the greatest common divisor of and the th Fibonacci number, II
Abhishek Jha, Carlo Sanna
Let be the set of all integers of the form , where is a positive integer and denotes the th Fibonacci number. Leonetti and Sanna proved tha…
A Survey on Coefficients of Cyclotomic Polynomials
Carlo Sanna
Cyclotomic polynomials play an important role in several areas of mathematics and their study has a very long history, which goes back at least to Gauss (1801). In particular, the…
On the sum of digits of the factorial
Carlo Sanna
Let b > 1 be an integer and denote by s_b(m) the sum of the digits of the positive integer m when is written in base b. We prove that s_b(n!) > C_b log n log log log n for each int…