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1. A hybrid mean value related to certain Hardy sums and Kloosterman sums

Creator:
Guo, Xiaoyan and Zhang, Wenpeng
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Hardy sums, the Kloosterman sums, hybrid mean value, asymptotic formula, and identity
Language:
English
Description:
The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. An identity involving Dedekind sums and generalized Kloosterman sums

Creator:
Huan, Le, Wang, Jingzhe, and Wang, Tingting
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dedekind sum, Kloosterman sum, Dirichlet character, analytic method, Gauss sum, and identity
Language:
English
Description:
The various properties of classical Dedekind sums $S(h, q)$ have been investigated by many authors. For example, Yanni Liu and Wenpeng Zhang: A hybrid mean value related to the Dedekind sums and Kloosterman sums, Acta Mathematica Sinica, 27 (2011), 435–440 studied the hybrid mean value properties involving Dedekind sums and generalized Kloosterman sums $K(m, n, r; q)$. The main purpose of this paper, is using the analytic methods and the properties of character sums, to study the computational problem of one kind of hybrid mean value involving Dedekind sums and generalized Kloosterman sums, and give an interesting identity.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. Modeling of synaptic information function: proposal of the multilingual translation approach

Creator:
Votruba, Z.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
synaptic information function, system, homogenisation, translation, identity, and multilingual environment
Language:
English
Description:
The topic of the presented paper is the discussion of possible approaches to the homogenization of synaptic information functions from the system-engineering point of view. Homogenization is a significant step to the construction of effective models that should enable understanding synaptic information functions. An attempt of a pragrnatic language translation within the niultilingual environrnent is proposed and briefly discussed.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. On the mean value of Dedekind sum weighted by the quadratic Gauss sum

Creator:
Wang, Tingting and Zhang, Wenpeng
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dedekind sum, quadratic Gauss sum, mean value, and identity
Language:
English
Description:
Various properties of classical Dedekind sums $S(h, q)$ have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to study the computational problem of one kind of mean value involving the classical Dedekind sum and the quadratic Gauss sum, and give several exact computational formulae for it.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

6. The soul of Tibet: representations of landscape in Chinese-medium literature about Tibet from the end of the 20th century

Creator:
Hladíková, Kamila
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Chinese literature, Tibetan literature, Orientalism, identity, and Tibetanness
Language:
English
Description:
All representations of the Other, adopt similar strategies, which emphasize the difference between the Other and Self, and are recognized as symbolic expressions of supposed superiority of Self over the Other, thus serving to legitimize any attempts to civilize or rule the Other. Such strategies, often applied by the West to describe the uneven East- West relations in the colonial literary discourse, can also be found in contemporary Chinese literary representations of “minority nationalities.” Representations of landscape are among the most important symbols that are used in the process of “othering” of the non-Self, and are especially relevant for Chinese representations of Tibet. The article examines the representation of Tibetan landscape in Chinese and Tibetan literatures, from the 1980s, written by both Han and Tibetan authors. Han writers have used the Tibetan landscape as a symbolic expression of the imaginary distance between themselves and Tibetans, while Tibetan authors stress the aspects that can help in an identification with the environment. The analysis reveals the symbolic function of landscape in relation to the newly (re)constructed Tibetan identity within the context of the multiethnic China at the end of the 20th century.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

7. Two identities related to Dirichlet character of polynomials

Creator:
Yao, Weili and Zhang, Wenpeng
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dirichlet character of polynomials, sum analogous to Kloosterman sum, identity, and Gauss sum
Language:
English
Description:
Let $q$ be a positive integer, $\chi $ denote any Dirichlet character $\mod q$. For any integer $m$ with $(m, q)=1$, we define a sum $C(\chi, k, m; q)$ analogous to high-dimensional Kloosterman sums as follows: $$ C(\chi, k, m; q)=\sum _{a_1=1}^{q}{}' \sum _{a_2=1}^{q}{}' \cdots \sum _{a_k=1}^{q}{}' \chi (a_1+a_2+\cdots +a_k+m\overline {a_1a_2\cdots a_k}), $$ where $a\cdot \overline {a}\equiv 1\bmod q$. The main purpose of this paper is to use elementary methods and properties of Gauss sums to study the computational problem of the absolute value $|C(\chi, k, m; q)|$, and give two interesting identities for it.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public