Given a real number τ, we study the approximation of τ by signed harmonic sums σ N (τ):=∑
n≤ N sn (τ)/n, where the sequence of signs (s N (τ)) N∈ N is defined “greedily” by setting s …

In this thesis we consider the four bipartite self-differential equations (1),(2),(3) and (4). In
chapter 2 we show that equations (1) have a continuously differentiable solution for every …

Eigenvalues of a self-differential operator Page 1 Eigenvalues of a self-differential operator
Yuri Dimitrov1 and GA Edgar2 1Department of Mathematics, Ohio State University, Columbus …