Roughly squarefree values of the Euler and Carmichael functions
William D. Banks, Florian Luca (2005)
Acta Arithmetica
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William D. Banks, Florian Luca (2005)
Acta Arithmetica
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Tasoev, B.G. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Florian Luca, Pantelimon Stănică (2007)
Acta Arithmetica
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Hao Pan, Zhi-Wei Sun (2006)
Acta Arithmetica
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Hirotaka Akatsuka (2006)
Acta Arithmetica
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Sz. Tengely (2008)
Acta Arithmetica
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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.
Miloš Čanak (1994)
Matematički Vesnik
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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...
A. R. Sarpe (1972)
Matematički Vesnik
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Hoang Ngoc Minh, Jacob, Gérad, Petitot, Michel, Oussous, Nour Eddine (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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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.
Vernescu, Andrei (1998)
General Mathematics
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Kevin Ford, Yong Hu (2008)
Acta Arithmetica
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Kim, Taekyun, Jang, Lee-Chae, Ryoo, Cheon-Seoung (2008)
Journal of Inequalities and Applications [electronic only]
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Ryoo, C.S., Kim, T., Jang, Lee-Chae (2007)
Journal of Inequalities and Applications [electronic only]
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Özden, Hacer, Cangül, Ismail Naci, Simsek, Yilmaz (2008)
Abstract and Applied Analysis
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Kim, T., Kim, Y.H. (2010)
Journal of Inequalities and Applications [electronic only]
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Sanoli Gun, Ekata Saha, Sneh Bala Sinha (2016)
Acta Arithmetica
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We prove an identity involving generalised Euler-Briggs constants, Euler's constant, and linear forms in logarithms of algebraic numbers. This generalises and gives an alternative proof of an identity of Lehmer (1975). Further, this identity facilitates the investigation of the (conjectural) transcendental nature of generalised Euler-Briggs constants. Earlier investigations of similar type by the present authors involved the interplay between additive and multiplicative characters. This...
Jang, Lee-Chae (2008)
Advances in Difference Equations [electronic only]
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