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

Fractional Calculus and Applied Analysis (2010)

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

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topRusev, 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 -

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