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Combining previous ideas from Garaev and the first author, we prove a general theorem to estimate the number of elements of a subset A of an abelian group $$G=\mathbb {Z}_{n_1}\times… Click to show full abstract
Combining previous ideas from Garaev and the first author, we prove a general theorem to estimate the number of elements of a subset A of an abelian group $$G=\mathbb {Z}_{n_1}\times \cdots \times \mathbb {Z}_{n_k}$$G=Zn1×⋯×Znk lying in a k-dimensional box. In many cases, this approach allow us to improve, by a logarithm factor, the range where it is possible to obtain an asymptotic estimate for the number of solutions of a given congruence.
Keywords:
saving logarithmic;
error term;
factor error;
logarithmic factor;
factor;
term estimates
Journal Title: Mathematische Zeitschrift
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!