Precision concerning the complements of the "Riemann hypothesis proof"

Mustapha Bekkhoucha (1)

1 LSDA - Laboratoire Systèmes Dynamiques et Applications

It is about the infinite partition of th real interval $(-\infty , 1/2)$ associated with each complex $\zeta(s)$-zero, or more precisely, with the two $\zeta^{\ast '}(s)$-zeros going with the latter. One shows that this partition is regular, with the points of division $k.\dfrac{1}{2},\ k\in \mathbb{Z}\ \text{and}\ k\leq 1$. In addition, by looking further this question, it appears that certain parabolic forms could play a role in quantum mechanics, at the level of elementary particles and beyond.

Mots clés: Riemann zeta function; nontrivial zeros; Riemann hypothesis

Domaines: Variables complexes [math.CV]

Mustapha Bekkhoucha. Precision concerning the complements of the "Riemann hypothesis proof". 2014. ⟨hal-00796330v3⟩