Results 21 to 30 of about 859,926 (192)
Double sums of Kloosterman sums in finite fields [PDF]
Finite Fields and Their Applications, 2019 We bound double sums of Kloosterman sums over a finite field ${\mathbb F}_{q}$, with one or both parameters ranging over an affine space over its prime subfield ${\mathbb F}_p \subseteq {\mathbb F}_{q} $. These are finite fields analogues of a series of recent results by various authors in finite fields and residue rings.
Simon Macourt, Igor E. Shparlinski
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A sum analogous to Kloosterman sum and its fourth power mean
, 2020 The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp ...
He Yan-qin, Zhu Chaoxi, Chen Zhuo-yu
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Fourth power mean values of one kind special Kloosterman's sum
Electronic Research Archive, 2023 The main purpose of this article is using the analytic methods and properties of classical Gauss sums to study the calculating problem of fourth power mean values of one kind special Kloosterman's sum, and give a sharp asymptotic formula for it.
Li Rui, Nilanjan Bag
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Cancellations amongst Kloosterman sums [PDF]
Acta Arithmetica, 2016 We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel, and Milićević (2014) and Fouvry, Kowalski and Michel (2014).
Shparlinski, Igor E., Zhang, Tianping
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Kloosterman sums with multiplicative coefficients [PDF]
Science China Mathematics, 2015 Let $f(n)$ be a multiplicative function satisfying $|f(n)|\leq 1$, $q$ $(\leq N^2)$ be a positive integer and $a$ be an integer with $(a,\,q)=1$. In this paper, we shall prove that $$\sum_{\substack{n\leq N\\ (n,\,q)=1}}f(n)e({a\bar{n}\over q})\ll\sqrt{τ(q)\over q}N\log\log(6N)+q^{{1\over 4}+{ε\over 2}}N^{1\over 2}(\log(6N))^{1\over 2}+{N\over \sqrt ...
Gong, Ke, Jia, Chaohua
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manuscripta mathematica, 1991 Let \({\mathbb{F}}_ q\) be the finite field with q elements, V be a finite- dimensional vector space over \({\mathbb{F}}_ q\), dim V\(=n\), \(L_ 1\), \(L_ 2\) linear forms and Q a quadratic form on V. The author proves an upper bound for the Kloosterman sum \[ K(L_ 1,L_ 2;Q):=\sum_{Q(v)\neq 0}\chi ((L_ 1(v)+L_ 2(v)(Q(v))^{-1}), \] where \(\chi\) is a ...
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A Test of the Coase Conjecture Using Prices of Electronic Books
Southern Economic Journal, EarlyView.ABSTRACT The Coase Conjecture predicts that a durable‐goods monopolist without commitment will rapidly cut price toward marginal cost. We test this prediction in the electronic‐book market using release‐day prices. To proxy for marginal cost, we use competitive prices of public‐domain electronic books on the same platforms.
Tim Groseclose, Alex Tabarrok
wiley +1 more source
Fostering refugees' entrepreneurial instincts: Lessons from the past, learning for the future
European Management Review, EarlyView.Abstract The ongoing global crises have sparked academic discussions on immigration, recognizing it as a key factor in socio‐economic advancement. Immigration is viewed as an essential element of human capital, capable of addressing labor and skill shortages in developed nations.
Gagan Deep Sharma +4 more
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A note on the mean value of the general Kloosterman sums [PDF]
, 2010 summary:The main purpose of this paper is to use the analytic method to study the calculating problem of the general Kloosterman sums, and give an exact calculating formula for ...
Yao, Weili, Liu, Huaning
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, 2003 We prove the Kloosterman-Spectral sum formula for PSL2(Z[i])∖PSL2(C), and apply it to derive an explicit spectral expansion for the fourth power moment of the Dedekind zeta-function of the Gaussian number ...
Analyse +4 more
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