ADDITIVE BASES AND NIVEN NUMBERS
Abstract Let $g \geq 2$ be an integer. A natural number is said to be a base-g Niven number if it is divisible by the sum of its base-g digits. Assuming Hooley’s Riemann hypothesis, we prove that the set of base-g Niven numbers is an additive basis, that is, there exists a positive integer $C_g$ such that every natural number is the sum of at most $C_g$ base-g Niven numbers.
2019 ◽
Vol 11
(02)
◽
pp. 1950015
Keyword(s):
1991 ◽
Vol 110
(1)
◽
pp. 1-3
◽
Keyword(s):
2011 ◽
Vol 07
(03)
◽
pp. 579-591
◽
Keyword(s):
1996 ◽
Vol 48
(3)
◽
pp. 512-526
◽
2021 ◽
2004 ◽
Vol 56
(2)
◽
pp. 356-372
◽
2017 ◽
Vol 96
(3)
◽
pp. 374-379