Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function

Rusev, Peter. "Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function." Serdica Mathematical Journal 39.2 (2013): 103-118. <http://eudml.org/doc/294959>.

@article{Rusev2013,
abstract = {[Rusev Peter; Russev Peter; Russev P.; Русев Петр; Русев Петър]Necessary and sufficient conditions for absence of zeros of the function ζ(s), s=σ+it, in the half-plane σ>θ, 1/2≤θ<1 are proposed in terms of representations of holomorphic functions by series in Hermite and Laguerre polynomials as well as in terms of Fourier and Hankel integral transforms. 2010 Mathematics Subject Classification: 11M26, 33C45, 42A38.},
author = {Rusev, Peter},
journal = {Serdica Mathematical Journal},
keywords = {Hermite polynomials; Laguerre polynomials; holomorphic extension; Riemann’s hypothesis},
language = {eng},
number = {2},
pages = {103-118},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function},
url = {http://eudml.org/doc/294959},
volume = {39},
year = {2013},
}

TY - JOUR
AU - Rusev, Peter
TI - Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function
JO - Serdica Mathematical Journal
PY - 2013
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 39
IS - 2
SP - 103
EP - 118
AB - [Rusev Peter; Russev Peter; Russev P.; Русев Петр; Русев Петър]Necessary and sufficient conditions for absence of zeros of the function ζ(s), s=σ+it, in the half-plane σ>θ, 1/2≤θ<1 are proposed in terms of representations of holomorphic functions by series in Hermite and Laguerre polynomials as well as in terms of Fourier and Hankel integral transforms. 2010 Mathematics Subject Classification: 11M26, 33C45, 42A38.
LA - eng
KW - Hermite polynomials; Laguerre polynomials; holomorphic extension; Riemann’s hypothesis
UR - http://eudml.org/doc/294959
ER -