Ohad Klein, Bar-Ilan University, Israel, On the distribution of Randomly Signed Sums and Tomaszewski’s Conjecture
ZoomA Rademacher sum X is a random variable characterized by real numbers a_1, ..., a_n, and is equal to X = a_1 x_1 + ... + a_n x_n, where x_1, ..., x_n are independent signs (uniformly selected from {-1, 1}). A conjecture by Bogusław Tomaszewski, 1986: all Rademacher sums X satisfy Pr >= 1/2. We…