On q-Euler numbers, q-Salié numbers and q-Carlitz numbers

Hao Pan; Zhi-Wei Sun

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Displaying similar documents to “On q-Euler numbers, q-Salié numbers and q-Carlitz numbers”

On the set of values of the Euler function.

Tasoev, B.G. (1999)

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Linear equations with the Euler totient function

Florian Luca, Pantelimon Stănică (2007)

Acta Arithmetica

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Coincidences in the values of the Euler and Carmichael functions

William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski (2006)

Acta Arithmetica

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Roughly squarefree values of the Euler and Carmichael functions

William D. Banks, Florian Luca (2005)

Acta Arithmetica

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Degeneration of multiple Euler products

Hirotaka Akatsuka (2006)

Acta Arithmetica

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Some finite generalizations of Euler's pentagonal number theorem

Ji-Cai Liu (2017)

Czechoslovak Mathematical Journal

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Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.

Note on the paper "An extension of a theorem of Euler" by Hirata-Kohno et al. (Acta Arith. 129 (2007), 71-102)

Sz. Tengely (2008)

Acta Arithmetica

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Combinatorial aspects of polylogarithms and Euler-Zagier sums. (Aspects combinatoires des polylogarithmes et des sommes d'Euler-Zagier.)

Hoang Ngoc Minh, Jacob, Gérad, Petitot, Michel, Oussous, Nour Eddine (1999)

Séminaire Lotharingien de Combinatoire [electronic only]

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Methode von Euler-Schen Typus zum Näherungsweisen Auflosen Einer Areolaren Differentialgleichung

Miloš Čanak (1994)

Matematički Vesnik

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Euler characteristic of the configuration space of a complex

Światosław R. Gal (2001)

Colloquium Mathematicae

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A closed form formula (generating function) for the Euler characteristic of the configuration space of n particles in a simplicial complex is given.

On Euler means and T-means of orthogonal series

A. R. Sarpe (1972)

Matematički Vesnik

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Low Mach number limit of a compressible Euler-Korteweg model

Yajie Wang, Jianwei Yang (2023)

Applications of Mathematics

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This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the compressible Euler-Korteweg equations converge to those of the incompressible Euler equations as the Mach number tends to zero. Furthermore, the desired convergence rates are also obtained.

Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies

Ken Shirakawa (2009)

Banach Center Publications

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In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of...