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Estimate of a complete rational trigonometric sum

✍ Scribed by V. I. Nechaev


Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
321 KB
Volume
17
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


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