التفاصيل البيبلوغرافية
| العنوان: |
Mock theta functions and Appell–Lerch sums |
| المؤلفون: |
Bin Chen |
| المصدر: |
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-14 (2018) |
| بيانات النشر: |
SpringerOpen, 2018. |
| سنة النشر: |
2018 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
Mock theta functions, Bilateral series, Appell–Lerch sums, Mathematics, QA1-939 |
| الوصف: |
Abstract Recently, Mortenson (Proc. Edinb. Math. Soc. 4:1–13, 2015) explored the bilateral series in terms of Appell–Lerch sums for the universal mock theta function g2(x,q) $g_{2}{(x,q)}$. The purpose of this paper is to consider the bilateral series for the universal mock theta function g3(x,q) $g_{3}{(x,q)}$. As a result, we present the bilateral series associated with the odd order mock theta functions in terms of Appell–Lerch sums. A very interesting congruence relationship of the bilateral series B(ω;q) $B(\omega;q)$ for the third order mock theta function ω(q) $\omega(q)$ is established. The inner relationships between the two-group bilateral series of the fifth order mock theta functions are obtained as applications. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
1029-242X |
| Relation: |
http://link.springer.com/article/10.1186/s13660-018-1748-1; https://doaj.org/toc/1029-242X |
| DOI: |
10.1186/s13660-018-1748-1 |
| URL الوصول: |
https://doaj.org/article/1b91aa18e8514d9f96ce6a4706ba1f8a |
| رقم الانضمام: |
edsdoj.1b91aa18e8514d9f96ce6a4706ba1f8a |
| قاعدة البيانات: |
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