De quelques nouvelles formules de sommation
Page 1
Édouard Lucas (1875)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Kaori Ota (2003)
Acta Arithmetica
Ed. Lucas (1883)
Bulletin de la Société Mathématique de France
J.C. Kluyver (1900)
Mathematische Annalen
Hoffman, Michael (1999)
The Electronic Journal of Combinatorics [electronic only]
de Presle (1888)
Bulletin de la Société Mathématique de France
Dilcher, Karl (2008)
The Electronic Journal of Combinatorics [electronic only]
Eriksen, Niklas, Eriksson, Henrik, Eriksson, Kimmo (2000)
The Electronic Journal of Combinatorics [electronic only]
Manisha Kulkarni, B. Sury (2005)
Acta Arithmetica
Dijana Kreso, Csaba Rakaczki (2013)
Acta Arithmetica
We determine decomposition properties of Euler polynomials and using a strong result relating polynomial decomposition and diophantine equations in two separated variables, we characterize those g(x) ∈ ℚ [x] for which the diophantine equation with k ≥ 7 may have infinitely many integer solutions. Apart from the exceptional cases we list explicitly, the equation has only finitely many integer solutions.
Zbyněk Uher (2005)
Mathematica Slovaca
J. Arias de Reyna (2005)
Acta Arithmetica
Page 1