### Linear equations with the Euler totient function

Florian Luca, Pantelimon Stănică (2007)

Acta Arithmetica

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Florian Luca, Pantelimon Stănică (2007)

Acta Arithmetica

Similarity:

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

Acta Arithmetica

Similarity:

William D. Banks, Florian Luca (2005)

Acta Arithmetica

Similarity:

Hao Pan, Zhi-Wei Sun (2006)

Acta Arithmetica

Similarity:

Hirotaka Akatsuka (2006)

Acta Arithmetica

Similarity:

Sz. Tengely (2008)

Acta Arithmetica

Similarity:

Ji-Cai Liu (2017)

Czechoslovak Mathematical Journal

Similarity:

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

Similarity:

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

Séminaire Lotharingien de Combinatoire [electronic only]

Similarity:

Ken Shirakawa (2009)

Banach Center Publications

Similarity:

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

Similarity:

Światosław R. Gal (2001)

Colloquium Mathematicae

Similarity:

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

Similarity:

Kim, Taekyun, Jang, Lee-Chae, Ryoo, Cheon-Seoung (2008)

Journal of Inequalities and Applications [electronic only]

Similarity:

Ryoo, C.S., Kim, T., Jang, Lee-Chae (2007)

Journal of Inequalities and Applications [electronic only]

Similarity:

Kim, T., Kim, Y.H. (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Özden, Hacer, Cangül, Ismail Naci, Simsek, Yilmaz (2008)

Abstract and Applied Analysis

Similarity:

Sanoli Gun, Ekata Saha, Sneh Bala Sinha (2016)

Acta Arithmetica

Similarity:

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]

Similarity:

Kevin Ford, Yong Hu (2008)

Acta Arithmetica

Similarity:

Zhi-Wei Sun, Hao Pan (2006)

Acta Arithmetica

Similarity: