On a trigonometric sum and its application
β 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.
π SIMILAR VOLUMES
The trigonometric sum f Γ°m; nΓ ΒΌ X mΓ1 kΒΌ1 j sinΓ°pkn=mΓj sinΓ°pk=mΓ Γ°1omAN; nANΓ has several applications in number theory. We prove that the mean value inequalities ΒΌ 2; 3; yΓ hold with the best possible constant factors This result refines and complements inequalities due to Cochrane, Peral, and
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 ,