Geodesic
Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function
Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 85-95.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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 ...
Keywords: Hermite Polynomials, Holomorphic Extension, Fourier Transform, Riemann's Hypothesis 
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Rusev, Peter. Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function. Fractional calculus and applied analysis, Tome 13 (2010) no. 1, pp. 85-95. http://geodesic.mathdoc.fr/item/FCAA_2010_13_1_a6/