članak: 1 od 1  
Publikacija Elektrotehničkog fakulteta - serija: matematika
2004, br. 15, str. 65-70
jezik rada: engleski
naučni članak
doi:10.2298/PETF0415065P

On the relation between the digital sum and product of a natural number
(naslov ne postoji na srpskom)
University of Bucharest - Department of Mathematics, Bucharest, Romania

e-adresa: pan@al.math.unibuc.ro

Sažetak

For 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.

Reference

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
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