An additive divisor problem in \(\mathbb{Z}[i]\)
Let \(\tau(\alpha)\) be the number of divisors of the Gaussian integer \(\alpha\). An asymptotic formula for the summatory function \(\sum\limits_{N(\alpha)\leq x}\tau(\alpha)\tau(\alpha+\beta)\) is obtained under the condition \(N(\beta)\leq x^{3/8}\). This is a generalization of the well-known add...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1146 |
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| Journal Title: | Algebra and Discrete Mathematics |