English

A minimal integral of the Riemann $\Xi$-function

Classical Analysis and ODEs 2011-08-18 v2

Abstract

In this paper we obtain an equilibrium sequence {ωn}\{\omega_n\} for which the following holds true: the areas (measures) of the figures corresponding to the positive and negative parts, respectively, of the graph of the function Ξ(t), t[ωn,ωn+1]\Xi(t),\ t\in[\omega_n,\omega_{n+1}] are equal. Dedicated to the 500th anniversary of rabbi L\"ow.

Cite

@article{arxiv.1108.1091,
  title  = {A minimal integral of the Riemann $\Xi$-function},
  author = {Jan Moser},
  journal= {arXiv preprint arXiv:1108.1091},
  year   = {2011}
}

Comments

minor change

R2 v1 2026-06-21T18:46:32.455Z