NOTE ON FOURIER–STIELTJES COEFFICIENTS OF COIN-TOSSING MEASURES
2020 ◽
Vol 102
(3)
◽
pp. 479-489
Keyword(s):
It is known that the Fourier–Stieltjes coefficients of a nonatomic coin-tossing measure may not vanish at infinity. However, we show that they could vanish at infinity along some integer subsequences, including the sequence ${\{b^{n}\}}_{n\geq 1}$ where $b$ is multiplicatively independent of 2 and the sequence given by the multiplicative semigroup generated by 3 and 5. The proof is based on elementary combinatorics and lower-bound estimates for linear forms in logarithms from transcendental number theory.
1953 ◽
Vol 49
(1)
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pp. 59-62
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2015 ◽
pp. 297-306
1988 ◽
pp. 411-434
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2003 ◽
Vol 9
(6)
◽
pp. 1401-1409
1997 ◽
Vol 43
(1-3)
◽
pp. 115-120
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