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Exponential Sums with Sparse Polynomials over Finite Fields
SIAM Journal on Discrete Mathematics ( IF 0.9 ) Pub Date : 2021-05-11 , DOI: 10.1137/20m1357731
Igor E. Shparlinski , Qiang Wang

SIAM Journal on Discrete Mathematics, Volume 35, Issue 2, Page 976-987, January 2021.
We obtain new bounds of exponential sums modulo a prime $p$ with sparse polynomials $a_0x^{n_0} + \cdots + a_{\nu}x^{n_\nu}$. The bounds depend on various greatest common divisors of exponents $n_0, \ldots, n_\nu$ and their differences. In particular, two new bounds for binomials are obtained, improving previous results in broad ranges of parameters.


中文翻译:

有限域上稀疏多项式的指数和

SIAM Journal on Discrete Mathematics,第 35 卷,第 2 期,第 976-987 页,2021 年 1 月。
我们获得指数和的新边界,以素数 $p$ 为模,稀疏多项式 $a_0x^{n_0} + \cdots + a_{\nu }x^{n_\nu}$。边界取决于指数 $n_0、\ldots、n_\nu$ 的各种最大公约数及其差异。特别是,获得了二项式的两个新界限,改善了先前在广泛参数范围内的结果。
更新日期:2021-05-11
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