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A Brun-Titchmarsh inequality for weighted sums over prime numbers
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A Brun-Titchmarsh inequality for weighted sums over prime numbers
classification
math.NT
keywords
brun-titchmarshinequalitynumbersprimesumsweightedarithmeticbounds
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We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.
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