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Partition of quadratic residues and non-residues in $$\mathbb {Z}_p^*$$ for an odd prime p
Archiv der Mathematik ( IF 0.6 ) Pub Date : 2024-01-12 , DOI: 10.1007/s00013-023-01942-2 Yathirajsharma M.V. , Manjunatha M.R.
中文翻译:
对于奇素数 p,$$\mathbb {Z}_p^*$$ 中的二次留数和非留数的划分
更新日期:2024-01-14
Archiv der Mathematik ( IF 0.6 ) Pub Date : 2024-01-12 , DOI: 10.1007/s00013-023-01942-2 Yathirajsharma M.V. , Manjunatha M.R.
Let p be an odd prime. In this article, we investigate the number of ways in which a quadratic residue and a non-residue modulo p can be expressed as sum of two quadratic residues sum of two quadratic non-residues, and sum of a quadratic residue and non-residue in an elementary way using Gauss sums.
中文翻译:
对于奇素数 p,$$\mathbb {Z}_p^*$$ 中的二次留数和非留数的划分
设p为奇素数。在本文中,我们研究了二次留数和非留数模p可以表示为两个二次留数之和、两个二次非留数之和以及二次留数和非留数之和的多种方式使用高斯和的基本方法。