Několik kapitol z nauky o číslech
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Emil Schönbaum (1905)
Časopis pro pěstování mathematiky a fysiky
H.-J. Kanold (1977)
Monatshefte für Mathematik
D. Suryanarayana (1971)
Elemente der Mathematik
William D. Banks, Florian Luca (2005)
Colloquium Mathematicae
Let φ(·) and σ(·) denote the Euler function and the sum of divisors function, respectively. We give a lower bound for the number of m ≤ x for which the equation m = σ(n) - n has no solution. We also show that the set of positive integers m not of the form (p-1)/2 - φ(p-1) for some prime number p has a positive lower asymptotic density.
Xu, Ping, Pan, Hao (2007)
Integers
Bui Minh Phong, Fehér, János (1999)
Mathematica Pannonica
McCarthy, Paul J. (1957)
Portugaliae mathematica
E. Lionnet (1868)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Donald Knuth (1977)
Acta Arithmetica
Shaofang Hong (2004)
Acta Arithmetica
Liouville, J. (1869)
Journal de Mathématiques Pures et Appliquées
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