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Publikacija Elektrotehničkog fakulteta - serija: matematika 2004, br. 15, str. 65-70
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On the relation between the digital sum and product of a natural number
(naslov ne postoji na srpskom)
SažetakFor an integer n ≥ 1 one denotes by sb(n) the sum of its digits and by pb(n) the product of its digits with respect to the basis b. In the present paper one compares sb(n) and pb(n) in the general case, as well as in several special cases, e.g., when n has a given number of digits or when n is the square of a natural number.
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Reference
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Kennedy, R.E., Cooper, C. (2000) A generalization of a result by Narkiewicz concerning large digits of powers. Publikacija Elektrotehničkog fakulteta - serija: matematika, br. 11, str. 36-40
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Polya, G., Szego, G. (1964) Aufgaben und Lehrsätze aus der Analysis: Funktionen Theorie, Nullstellen, Polynome, Determinanten, Zahlentheorie. u: Die Grundlehren der Mathematischen Wissenschaften, Berlin, itd: Springer Verlag, Band II, Band 20
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