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Three two - dimensional Weyl steps in the circle problem
1. Summary. In a sequence of three papers we study the circle problem and its generalization involving the logarithmic mean. Most of the deeper results in this area depend on estimates of exponential sums. For the circle problem itself Chen has carried out such estimates using three two-dimensional Weyl steps with complicated techniques. We make the same Weyl steps but our approach is simpler a...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2008
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm199-3-3