A Li-type criterion for zero-free half-plames of Riemann's zeta function

• Autores: Pedro Freitas
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 2, 2006, págs. 399-414
• Idioma: inglés
• DOI: 10.1112/s0024610706022599
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• Resumen

  • We define a sequence of real functions which coincide with Li's coefficients at one and which allow us to extend Li's criterion for the Riemann Hypothesis to yield a necessary and sufficient condition for the existence of zero-free strips inside the critical strip. We study some of the properties of these functions, including their oscillatory behaviour.