التفاصيل البيبلوغرافية
| العنوان: |
On Certain Sum Involving Quadratic Residue |
| المؤلفون: |
Kai An Sim, Kok Bin Wong |
| المصدر: |
Mathematics, Vol 10, Iss 12, p 1981 (2022) |
| بيانات النشر: |
MDPI AG, 2022. |
| سنة النشر: |
2022 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
sumset, quadratic residue, Mathematics, QA1-939 |
| الوصف: |
Let p be a prime and Fp be the set of integers modulo p. Let χp be a function defined on Fp such that χp(0)=0 and for a∈Fp\{0}, set χp(a)=1 if a is a quadratic residue modulo p and χp(a)=−1 if a is a quadratic non-residue modulo p. Note that χp(a)=ap is indeed the Legendre symbol. The image of χp in the set of real numbers. In this paper, we consider the following sum ∑x∈Fpχp((x−a1)(x−a2)…(x−at)) where a1,a2,…,at are distinct elements in Fp. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2227-7390 |
| Relation: |
https://www.mdpi.com/2227-7390/10/12/1981; https://doaj.org/toc/2227-7390 |
| DOI: |
10.3390/math10121981 |
| URL الوصول: |
https://doaj.org/article/ea19dae6cd0a44a78e4dd1aaaf33bacc |
| رقم الانضمام: |
edsdoj.19dae6cd0a44a78e4dd1aaaf33bacc |
| قاعدة البيانات: |
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