On Sums Involving Reciprocals of Certain Large Additive Functions
Tizuo Xuan (1989)
Publications de l'Institut Mathématique
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Tizuo Xuan (1989)
Publications de l'Institut Mathématique
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We prove upper bounds for sums of Kloosterman sums against general arithmetic weight functions. In particular, we obtain power cancellation in sums of Kloosterman sums over arithmetic progressions, which is of square-root strength in any fixed primitive congruence class up to bounds towards the Ramanujan conjecture.
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