𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a trigonometric sum and its application

✍ Scribed by N. A. Fugelo; P. D. Varbanec


Publisher
Akadmiai Kiad
Year
1987
Tongue
English
Weight
350 KB
Volume
49
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On a trigonometrical sum
✍ John R. Stembridge; John Todd πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 162 KB
On a monotonic trigonometric sum
✍ Gavin Brown; Stamatis Koumandos πŸ“‚ Article πŸ“… 1997 πŸ› Springer Vienna 🌐 English βš– 317 KB
On a trigonometric sum of Vinogradov
✍ Horst Alzer; Stamatis Koumandos πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 208 KB

The trigonometric sum f Γ°m; nÞ ΒΌ X mΓ€1 kΒΌ1 j sinΓ°pkn=mÞj sinΓ°pk=mÞ Γ°1omAN; nANÞ has several applications in number theory. We prove that the mean value inequalities ΒΌ 2; 3; yÞ hold with the best possible constant factors This result refines and complements inequalities due to Cochrane, Peral, and

On the Convergence of a Two-Dimensional
✍ Wolfgang MΓΌller πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 133 KB

By numerical experiments they were led to conjecture The first published solution by J. Boersma and P. J. DeDoelder 1 confirms the first conjecture and disproves the second one numerically. Their proof has been criticized by several authors, since it ignores all w x questions of convergence. In 2 ,