5 papers
Investigation about a statement equivalent to Riemann Hypothesis (RH)
Giovanni Lodone
First idea is to compute a quantity like the angular momentum with respect to (0, 0), of an unitary mass of coordinates (<[Xi(s)], =[Xi(s)]) while =[s] is the time, and, <[s] = con…
Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions
Giovanni Lodone
We try to apply a known equivalence, for RH about Riemann Z function, to Dirichlet L functions with primitive characters. The aim is to give a small contribution to the proof of th…
Phase variation and angular momentum of the Riemann, and, Dirichlet Xi functions
Giovanni Lodone
The concept of angular momentum is used to find new RH equivalence statements, and, generalize some known results from Riemann to Dirichlet primitive Xi functions
An extension to the complex plane of the Riemann-Siegel Z function
Giovanni Lodone
The usual Riemann-Siegel Z(t) is a real-valued function. We construct a complex function depending from t and from distance from critical line. It is linked to Riemann Xi(s) functi…
About zero counting of Riemann Z function
Giovanni Lodone
An approximate formula for complex Riemann Xi function, previously developed, is used to refine Backlund's estimate of the number of zeros till a chosen imaginary coordinate