Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3425

 Title: Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function Authors: Rusev, Peter Keywords: Hermite polynomialsLaguerre polynomialsholomorphic extensionRiemann’s hypothesis Issue Date: 2013 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 39, No 2, (2013), 103p-118p Abstract: 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. Description: [Rusev Peter; Russev Peter; Russev P.; Русев Петр; Русев Петър] URI: http://hdl.handle.net/10525/3425 ISSN: 1310-6600 Appears in Collections: Volume 39, Number 2

Files in This Item:

File Description SizeFormat