Theoretical Statistics and Mathematics Unit, ISI Delhi

January 11, 2012 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Pante Stanica,
Naval Postgraduate School, California

Title:
Various Problems on Sum of Digits

Abstract of Talk

The distribution of various arithmetic functions on positive integers written in a given
base $g > 1$ is a classical area of investigation and a huge body of literature on this topic has been
published.
In this talk we look at various problems involving the sum of digits function, their help in
proving a conjecture on the exponents in prime power factorization of factorials, and the sum
of digits behavior under multiples.