D. I. Tolev
Sofia University
35 Papers
137 Citations
D. I. Tolev is an academic researcher from Sofia University. The author has contributed to research in topics: Almost prime & Asymptotic formula. The author has an hindex of 9, co-authored 35 publications. Previous affiliations of D. I. Tolev include Plovdiv University "Paisii Hilendarski" & Moscow State University.
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Papers
•Posted Content
An invitation to additive prime number theory
Angel V. Kumchev,D. I. Tolev +1 more
TL;DR: The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number theory as discussed by the authors, and to give a representative sample of the directions of current research.
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•Posted Content
On the number of pairs of positive integers $x, y \le H$ such that $x^2 + y^2 + 1$ is squarefree
TL;DR: In this paper, the error term of the Kloosterman sum was improved by using the properties of certain exponential sums, e.g., Weil's estimator of the k-means.
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ON THE DISTRIBUTION OF r-TUPLES OF SQUAREFREE NUMBERS IN SHORT INTERVALS
TL;DR: In this article, the authors consider the number of r-tuples of square-free numbers in a short interval and prove that it cannot be much bigger than the expected value and also establish an asymptotic formula if the interval is not very short.
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On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set
TL;DR: Balog and Harman as mentioned in this paper used the method of Balog, Harman and Kaufman to prove a theorem of Bombieri-Vinogradov type for prime numbers from the set Sλ.