This article is cited in 3 papers

Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations

F. Calogero<sup>ab

a</sup> Department of Physics, University of Rome ``La Sapienza'', Rome, Italy
^b Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, Rome, Italy

Abstract: Recent findings concerning the zeros of generic polynomials are extended to entire functions featuring infinitely many distinct zeros, and related systems of infinitely many nonlinearly coupled evolution ODEs and PDEs are identified, the solutions of which display interesting properties.

Keywords: zero of an entire function, system of infinitely many evolution ODEs, system of infinitely many evolution PDEs, Riemann zeta function, Riemann hypothesis.

Received: 12.09.2017
Revised: 15.10.2017

DOI: 10.4213/tmf9463

 English version: Theoretical and Mathematical Physics, 2018, 196:2, 1111–1128

Bibliographic databases:

• 
• 
• 
• 
•