Results 1 to 10 of about 271 (38)
, 2006 Let $p$ be a prime, and let $n>0$ and $r$ be integers. In this paper we study Fleck's quotient $$F_p(n,r)=(-p)^{-\lfloor(n-1)/(p-1)\rfloor} \sum_{k=r(mod p)}\binom {n}{k}(-1)^k\in Z.$$ We determine $F_p(n,r)$ mod $p$ completely by certain number ...
Sun, Zhi-Wei, Wan, Daqing
core +7 more sources
Veterinary Dermatology, Volume 33, Issue 4, Page 316-e73, August 2022., 2022 Abstract Background Pseudomonas aeruginosa is the most commonly isolated bacterium from skin lesions of dogs with post‐grooming furunculosis (PGF). It is frequently found in human hair and skin care products, and may pose a health risk to consumers. Information regarding the prevalence of P. aeruginosa contamination of dog grooming products is lacking.
Elad Perry +5 more
wiley +1 more source
Wireless Communications and Mobile Computing, Volume 2022, Issue 1, 2022., 2022 There exist various challenges introduced by a large number of multimedia photos and videos for personalized travel recommendation in the era of big data. In order to resolve such challenges, a context‐aware personalized travel recommendation system based on data mining is proposed in this study.
Jiangong Lian +2 more
wiley +1 more source
One kind power mean of the hybrid Gauss sums
Open Mathematics, 2018 In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
doaj +1 more source
Averages Along the Primes: Improving and Sparse Bounds
Concrete Operators, 2020 Consider averages along the prime integers ℙ given ...
Han Rui +3 more
doaj +1 more source
On the fourth-order linear recurrence formula related to classical Gauss sums
Open Mathematics, 2017 Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ ...
Zhuoyu Chen, Wenpeng Zhang
doaj +1 more source
A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
doaj +1 more source
On the first power mean of L‐functions with the weight of general Kloosterman sums
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 745-750, 2002., 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L‐functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
Zhang Wenpeng
wiley +1 more source
Upper bound estimate of incomplete Cochrane sum
Open Mathematics, 2017 By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
doaj +1 more source
Note on the quadratic Gauss sums
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 167-173, 2001., 2001 Let p be an odd prime and {χ(m) = (m/p)}, m = 0, 1, …, p − 1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m, p) = 1. We study the relation between the Gauss and the quadratic Gauss sums.
George Danas
wiley +1 more source