On non-complete rational trigonometric sums. (English) Zbl 1434.11162
Summary: We give the version of Hua’s method for the estimation of non-complete rational trigonometric sums. These estimates are non-trivial one for sums with lengths exceeding a square root of length the complete sum.
MSC:
| 11L03 | Trigonometric and exponential sums (general theory) |
| 42A05 | Trigonometric polynomials, inequalities, extremal problems |
Keywords:
Hua’s method of complete rational trigonometric sums estimate; non-complete rational trigonometric sums; polynomial congruencies; chain of exponents and roots of congruenciesReferences:
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