The joint universality and the generalized strong recurrence for Dirichlet L-functions
Takashi Nakamura (2009)
Acta Arithmetica
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Displaying similar documents to “On the structure of the Selberg class, VI: non-linear twists”
The joint universality and the generalized strong recurrence for Dirichlet L-functions
Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions
Yu. Matiyasevich, F. Saidak, P. Zvengrowski (2014)
Acta Arithmetica
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As usual, let s = σ + it. For any fixed value of t with |t| ≥ 8 and for σ < 0, we show that |ζ(s)| is strictly decreasing in σ, with the same result also holding for the related functions ξ of Riemann and η of Euler. The following inequality related to the monotonicity of all three functions is proved: ℜ (η'(s)/η(s)) < ℜ (ζ'(s)/ζ(s)) < ℜ (ξ'(s)/ξ(s)). It is also shown that extending the above monotonicity result for |ζ(s)|, |ξ(s)|, or |η(s)|...
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Masanori Katsurada (1997)
Publications de l'Institut Mathématique
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Almkvist, Gert, Granville, Andrew (1999)
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S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
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Aleksandar Ivić (1989)
Publications de l'Institut Mathématique
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Norman Levinson (1972)
Acta Arithmetica
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Acta Arithmetica
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Wenguang Zhai (2005)
Acta Arithmetica
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N. Kurokawa, M. Lalín, H. Ochiai (2008)
Acta Arithmetica
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Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Acta Arithmetica
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Integers
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Publications de l'Institut Mathématique. Nouvelle Série
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