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On a trigonometric sum of Vinogradov

✍ Scribed by Horst Alzer; Stamatis Koumandos

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
208 KB
Volume
105
Category
Article
ISSN
0022-314X

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✦ Synopsis

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

¼ 2; 3; yÞ hold with the best possible constant factors

This result refines and complements inequalities due to Cochrane, Peral, and Yu.

πŸ“œ SIMILAR VOLUMES

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