| 一类二次函数指数和的简化计算 |
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| 引用本文： | 尹华军,张习勇. 一类二次函数指数和的简化计算[J]. 北京大学学报(自然科学版), 2012, 48(5): 695-700 |
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| 作者姓名： | 尹华军 张习勇 |
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| 作者单位： | 信息工程大学信息工程学院应用数学系, 郑州 450002; |
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| 基金项目： | 国家自然科学基金(60803154)资助 |
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| 摘 要： | 利用二次函数伴随多项式的一种特定分解形式, 结合Frobenius变换和有限域上迹函数的性质, 将一类二次函数的指数和转化为目前可计算的形式。并给出一种简化二次函数指数和计算的新方法。
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| 关 键 词： | 指数和 迹函数 二次函数 多项式分解 |
| 收稿时间： | 2011-11-15 |
Simplifying the Evaluation of Exponential Sums of Some Binary Quadratic Functions |
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| YIN Huajun,ZHANG Xiyong. Simplifying the Evaluation of Exponential Sums of Some Binary Quadratic Functions[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2012, 48(5): 695-700 |
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| Authors: | YIN Huajun ZHANG Xiyong |
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| Affiliation: | Department of Applied Mathematics, School of Institute of Information Engineering, Information Engineering University, Zhengzhou 450002; |
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| Abstract: | Factorizing the companion polynomials of binary quadratic function into the product of a polynomial and its reciprocal polynomial.With the property of the trace function and the Frobenius permutation,the exponential sums of a large class of quadratic functions with many terms can be converted to the computation of the exponential sums of some quadratic functions that can be explicitly evaluated by present results.A new method is also given to simplify the evaluation of exponential sums of these binary quadratic functions. |
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| Keywords: | exponential sums trace function quadratic functions the factorization of polynomial |
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