This article considers linear relations between the nontrivial zeroes of the Riemann zeta-function. The main application is an alternative disproof of Mertens' conjecture by showing that lim supx→∞ M ...

The problem of stable computation by forward and backward recursion on three-term, linear, nonhomogeneous recursion relations is outlined. The backward recursive theory is applied to integrals ...

Such functions are called linear, for reasons that I'll explain soon enough (well, we generally want another condition for linear functions involving scalar multiples of the variable, but I'll ...

It focuses on prioritizing foundational chapters like Sets, Relations and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and ...