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An Asymptotic Formula for the Average Sum of the Digits of Integers

✍ Scribed by L. E. Bush


Book ID
118034342
Publisher
Mathematical Association of America
Year
1940
Tongue
English
Weight
309 KB
Volume
47
Category
Article
ISSN
0002-9890

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An Asymptotic Formula for a Trigonometri
✍ Todd Cochrane; J.C Peral πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 189 KB

We obtain a representation formula for the trigonometric sum f (m, n) and deduce from it the upper bound f(m, n) < (4/p 2 ) m log m+ (4/p 2 )(c -log(p/2)+2C G ) m+O(m/`log m), where C G is the supremum of the function G(t) :=; . k=1 log |2 sin pkt|/(4k 2 -1), over the set of irrationals. The coeffi