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
On an Asymptotic Formula of Carlitz-Müller-Berndt
✍ Scribed by C. Calderon; M.J. Zarate
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 212 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0022-247X
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