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Listar por autor "Lune, Jan van de"
Mostrando ítems 1-6 de 6
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Artículo
A proof of a trigonometric inequality. A glimpse inside the mathematical kitchen
Arias de Reyna Martínez, Juan; Lune, Jan van de (2011-09)We prove the inequality ∞ ∑ k=1(−1) k+1 rk cos kφ k+2 < ∞ ∑ k=1 (−1) k+1 rk k+2 for 0 < r 1 and 0 < φ < π . For the ...
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Artículo
On some oscillating sums
Lune, Jan van de; Arias de Reyna Martínez, Juan (2008)This paper deals with the sums S α (n)=∑ j=1 n (-1) ⌊jα⌋ where α is any real number. The interest in these sums was initiated ...
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Artículo
On the exact location of the non-trivial zeros of Riemann’s zeta function
Arias de Reyna Martínez, Juan; Lune, Jan van de (Polish Academy of Sciences, Institute of Mathematics, 2014)In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2πiκ(t) = ...
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Capítulo de Libro
On the sign of the real part of the Riemann zeta-function
Arias de Reyna Martínez, Juan; Brent, Richard P.; Lune, Jan van de (Springer, 2013)We consider the distribution of argζ(σ +it) on fixed lines σ > 1/2, and in particular the density d(σ) = lim T→+∞ 1/2T ...
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Artículo
Un primer encuentro con la Hipótesis de Riemann y su comprobación numérica
Arias de Reyna Martínez, Juan; Lune, Jan van de (Real Sociedad Matemática Española, 2010) -
Artículo
Some bounds and limits in the theory of Riemann's zeta function
Arias de Reyna Martínez, Juan; Lune, Jan van de (Elsevier, 2012-12-01)For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. For 0 < a < 1, a = 1, ...