Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function

Rusev, Peter

Fractional Calculus and Applied Analysis (2010)

  • Volume: 13, Issue: 1, page 85-95
  • ISSN: 1311-0454

Abstract

top
AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ...

How to cite

top

Rusev, Peter. "Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function." Fractional Calculus and Applied Analysis 13.1 (2010): 85-95. <http://eudml.org/doc/219622>.

@article{Rusev2010,
abstract = {AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ...},
author = {Rusev, Peter},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Hermite Polynomials; Holomorphic Extension; Fourier Transform; Riemann's Hypothesis; Riemann’s -function; zeros; Hermite polynomials},
language = {eng},
number = {1},
pages = {85-95},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function},
url = {http://eudml.org/doc/219622},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Rusev, Peter
TI - Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 1
SP - 85
EP - 95
AB - AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ...
LA - eng
KW - Hermite Polynomials; Holomorphic Extension; Fourier Transform; Riemann's Hypothesis; Riemann’s -function; zeros; Hermite polynomials
UR - http://eudml.org/doc/219622
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.