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Indépendance linéaire des valeurs des polylogarithmes

Tanguy Rivoal (2003)

Journal de théorie des nombres de Bordeaux

Nous montrons que pour tout rationnel $α$ de $[- 1, 1]$ , l’ensemble des valeurs des polylogarithmes $\{{Li}_{s} (α), s \in ℕ, s \geq 1\}$ contient une infinité de nombres $ℚ$ -linéairement indépendants.

Inequalities and monotonicity for the ratio of $Γ_{p}$ functions.

Krasniqi, Valmir, Merovci, Faton (2010)

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

Inequalities for $3 - log$ -convex functions.

Chen, Donghui, Berenhaut, Kenneth S. (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Inequalities for Beta and Gamma functions via some classical and new integral inequalities.

Dragomir, S.S., Agarwal, R.P., Barnett, N.S. (2000)

Journal of Inequalities and Applications [electronic only]

Inequalities for logarithmic and exponential functions.

Constantinescu, Eugen (2004)

General Mathematics

Inequalities for the gamma function.

Li, Xin, Chen, Chao-Ping (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Inequalities involving a logarithmically convex function and their applications to special functions.

Neuman, Edward (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Integral averages of multiple Poisson kernels.

Bulut, Serap (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

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