On the digits of the multiples of an irrational p-adic number
1974 ◽
Vol 76
(2)
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pp. 417-422
Let α be an irrational p-adic number, r an arbitrary positive integer. Our aim is to prove that there exists a rational integer X satisfyingsuch that every possible sequence of r digits 0, 1, …, p – 1 occurs infinitely often in the canonical p-adic series for Xα. It is clear that it suffices to prove this result for p-adic integers.
Keyword(s):
1961 ◽
Vol 5
(1)
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pp. 35-40
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1955 ◽
Vol 7
◽
pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1953 ◽
Vol 1
(3)
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pp. 119-120
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2004 ◽
Vol 35
(1)
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pp. 1-12
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Keyword(s):
1963 ◽
Vol 6
(2)
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pp. 70-74
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1964 ◽
Vol 16
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pp. 94-97
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1949 ◽
Vol 1
(3)
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pp. 303-304
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Keyword(s):
1949 ◽
Vol 1
(1)
◽
pp. 48-56
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