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Can anyone recommend good books on Trigonometrical Sums ? The only book I found is Vinogradov's book: Method of Trigonometrical Sums in the Theory of Numbers. but it is really old.

I am looking for a newer book, cover some recent progress in this area, (prefer easy to read).

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You can try Trigonometric Sums in Number Theory and Analysis by Arkhipov, Chubarikov and Karatsuba

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