On a problem of Chowla and some related problems
1936 ◽
Vol 32
(4)
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pp. 530-540
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Let d(m) denote the number of divisors of the integer m. Chowla has conjectured that the integers for which d(m + 1) > d(m) have density ½. In this paper I prove and generalize this conjecture. I prove in § 1 a corresponding result for a general class of functions f(m), and in § 2 the result for d(m) which is not included among the f(m). I employ the method used in my paper: “On the density of some sequences of numbers.”
1975 ◽
Vol 12
(01)
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pp. 130-134
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2015 ◽
Vol 18
(1)
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pp. 167-179
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2005 ◽
Vol 15
(04)
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pp. 1417-1422
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Keyword(s):
1978 ◽
Vol 82
(1-2)
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pp. 51-70
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Keyword(s):
2013 ◽
Vol 83
(3)
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pp. 271-277
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1985 ◽
Vol 45
(1)
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pp. 138-151
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Keyword(s):