✦ LIBER ✦

Upper bounds on a two-term exponential sum*

✍ Scribed by Todd Cochrane; Zhiyong Zheng

Publisher: SP Science China Press
Year: 2001
Tongue: English
Weight: 624 KB
Volume: 44
Category: Article
ISSN: 1674-7283
DOI: 10.1007/bf02878976

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Upper bounds on n-dimensional Kloosterma

Upper bounds on n-dimensional Kloosterman sums

✍ Todd Cochrane; Ming-Chit Liu; Zhiyong Zheng 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 252 KB

Let p m be any prime power and K n ða; p m Þ be the Kloosterman sum where the x i are restricted to values not divisible by p: Let m; n be positive integers with mX2 and suppose that p g jjðn þ 1Þ: We obtain the upper bound jK n ða; p m Þjpðn þ 1; p À 1Þp 1=2 minðg;mÀ2Þ p mn=2 ; for odd p: For p ¼

On Two Exponential Sums and Their Applic

On Two Exponential Sums and Their Applications

✍ Han Wen Bao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We give estimates of two exponential sums over finite fields for which Weil's estimates fail. Using our estimates and Cohen's sieve method, we prove the conjecture of Hansen and Mullen for the second coefficient in characteristic two when the degree Ն7.

On the mean value of the two-term expone

On the mean value of the two-term exponential sums with Dirichlet characters

✍ Zhefeng Xu; Tianping Zhang; Wenpeng Zhang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 129 KB

The main purpose of this paper is using the analytic method to study the mean value properties of the two-term exponential sums with Dirichlet characters, and give an explicit formula for its fourth power mean.

A Note on Exponential Sums

✍ N.M. Katz 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Upper Bounds on Character Sums with Rati

Upper Bounds on Character Sums with Rational Function Entries

✍ Todd Cochrane; Chun Lei Liu; Zhi Yong Zheng 📂 Article 📅 2003 🏛 Institute of Mathematics, Chinese Academy of Scien 🌐 English ⚖ 200 KB

A note on the upper bound estimate of hi

A note on the upper bound estimate of high-dimensional Cochrane sums

✍ Huaning Liu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 102 KB

An upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinstein's version of Deligne's estimate for the hyper-Kloosterman sum and a mean value theorem of Dirichlet L-functions.