Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 2, pp. 193-213
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{TMF_2018_196_2_a1,
author = {F. Calogero},
title = {Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {193--213},
publisher = {mathdoc},
volume = {196},
number = {2},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a1/}
}
TY - JOUR AU - F. Calogero TI - Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2018 SP - 193 EP - 213 VL - 196 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a1/ LA - ru ID - TMF_2018_196_2_a1 ER -
%0 Journal Article %A F. Calogero %T Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations %J Teoretičeskaâ i matematičeskaâ fizika %D 2018 %P 193-213 %V 196 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a1/ %G ru %F TMF_2018_196_2_a1
F. Calogero. Zeros of entire functions and related systems of infinitely many nonlinearly coupled evolution equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 196 (2018) no. 2, pp. 193-213. http://geodesic.mathdoc.fr/item/TMF_2018_196_2_a1/