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The sum of digits of primes in({mathbb{Z}})[i]

✍ Scribed by Michael Drmota; Joël Rivat; Thomas Stoll

Publisher: Springer Vienna
Year: 2008
Tongue: English
Weight: 379 KB
Volume: 155
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-008-0010-1

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Let Q=[Q j ] j=0 be a strictly increasing sequence of integers with Q 0 =1 and such that each Q j is a divisor of Q j+1 . The sequence Q is a numeration system in the sense that every positive integer n has a unique ``base-Q'' representation of the form n= j 0 a j (n) Q j with ``digits'' a j (n) sat