تقرير
Partitions into powers of an algebraic number
| العنوان: | Partitions into powers of an algebraic number |
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| المؤلفون: | Kala, Vítězslav, Zindulka, Mikuláš |
| المصدر: | Ramanujan J. 64 (2024), 537-551 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11P81, 11P84, 11R11 |
| الوصف: | We study partitions of complex numbers as sums of non-negative powers of a fixed algebraic number $\beta$. We prove that if $\beta$ is real quadratic, then the number of partitions is always finite if and only if some conjugate of $\beta$ is larger than 1. Further, we show that for $\beta$ satisfying a certain condition, the partition function attains all non-negative integers as values. Comment: 10 pages, to appear in Ramanujan J |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s11139-024-00845-2 |
| URL الوصول: | http://arxiv.org/abs/2305.16688 |
| رقم الأكسشن: | edsarx.2305.16688 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s11139-024-00845-2 |
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