دورية أكاديمية

An Estimate for the Sum of a Dirichlet Series on an Arc of Bounded Slope.

التفاصيل البيبلوغرافية
العنوان: An Estimate for the Sum of a Dirichlet Series on an Arc of Bounded Slope.
المؤلفون: Belous, T. I., Gaisin, A. M., Gaisin, R. A.
المصدر: Russian Mathematics; Jan2024, Vol. 68 Issue 1, p1-10, 10p
مستخلص: The article considers the behavior of the sum of the Dirichlet series which converges absolutely in the left half-plane , on a curve arbitrarily approaching the imaginary axis—the boundary of this half-plane. We have obtained a solution to the following problem: under what additional conditions on will the strengthened asymptotic relation the type of Pólya for the sum F(s) of the Dirichlet series be valid in the case when the argument tends to the imaginary axis along over a sufficiently massive set. [ABSTRACT FROM AUTHOR]
Copyright of Russian Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
قاعدة البيانات: Complementary Index
الوصف
تدمد:1066369X
DOI:10.3103/S1066369X24700014