Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Kronecker symbol"'
Autor:
Chao XIAO, Dai-xin HUANG
Publikováno v:
Fayixue Zazhi, Vol 39, Iss 3, Pp 276-282 (2023)
Objective To derive general formulas for calculating commonly used kinship index （KI）. Methods By introducing the Kronecker symbol， the formulas used to calculate the same KI under different genotype combinations were summarized into a unified
Externí odkaz:
https://doaj.org/article/4c32ee5ed594404b99e705793c2a093f
Akademický článek
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Autor:
Zilong He
Publikováno v:
International Journal of Number Theory. 16:1819-1832
For any given non-square integer $ D\equiv 0,1 \pmod{4} $, we prove Euclid's type inequalities for the sequence $ \{q_{i}\} $ of all primes satisfying the Kronecker symbol $ (D/q_{i})=-1 $, $ i=1,2,\cdots, $ and give a new criterion on a ternary quad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1bab77986e0db7e45d2a1182c2778650
https://doi.org/10.1142/s1793042120500943
https://doi.org/10.1142/s1793042120500943
Akademický článek
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Publikováno v:
Journal of Number Theory. 179:3-16
In this article we estimate the number of integers up to X which can be properly represented by a positive-definite, binary, integral quadratic form of small discriminant. This estimate follows from understanding the vector of signs that arises from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a9922f7248917afa4130e60d5c24598
https://doi.org/10.1016/j.jnt.2017.03.004
https://doi.org/10.1016/j.jnt.2017.03.004
Autor:
Peng Gao
In this paper, we evaluate the sum $\sum_{m,n}\leg {m}{n}d(n)$, where $\leg {m}{n}$ is the Kronecker symbol and $d(n)$ is the divisor function.
9 pages
9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::becfae9e5b50ce40135ffccfda510484
http://arxiv.org/abs/1904.06988
http://arxiv.org/abs/1904.06988
Autor:
Hugh L. Montgomery, Steven M. Gonek
Publikováno v:
Indagationes Mathematicae. 27:506-523
We review the various proofs of Kronecker’s theorem concerning inhomogeneous Diophantine approximation, we discuss in detail the quantitative approaches of Turan (1960) and Chen (2000), and we derive strong localized versions of these theorems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3f7555ee89c95980163a39c3dbff085
https://doi.org/10.1016/j.indag.2016.02.002
https://doi.org/10.1016/j.indag.2016.02.002
Publikováno v:
Journal of the Acoustical Society of America
Journal of the Acoustical Society of America, Acoustical Society of America, 2018, 144 (1), pp.EL76-EL81. ⟨10.1121/1.5047929⟩
Journal of the Acoustical Society of America, Acoustical Society of America, 2018, 144 (1), pp.EL76-EL81. ⟨10.1121/1.5047929⟩
International audience; A generalization of the commonly used pressure jump modeling of thin porous layers is proposed. The starting point is a transfer matrix model of the layer derived using matrix exponentials. First order expansions of the propag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b53e7e9507410679136104e168c0314f
https://hal-univ-lemans.archives-ouvertes.fr/hal-02458831
https://hal-univ-lemans.archives-ouvertes.fr/hal-02458831
Autor:
Titus Hilberdink
We introduce an extension of the Kronecker product for matrices which retains many of the properties of the usual Kronecker product. As an application we study matrices over divisor-closed sets with multiplicative entries, and show how these are quas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b7e3c58e0e76fa97969b1124f19df04
https://centaur.reading.ac.uk/72527/1/quasi-kronecker.pdf
https://centaur.reading.ac.uk/72527/1/quasi-kronecker.pdf
Autor:
S. A. Tyurin
Publikováno v:
Russian Mathematics. 59:38-48
We obtain some properties of a symbol of a type of elements in simple field of positive characteristic as well as connected with it functions and matrices which elements are expressed by a symbol of a type. Besides we obtain the method of finding min
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb1776df7e254ec04a48ae79b672b7bb
https://doi.org/10.3103/s1066369x15100047
https://doi.org/10.3103/s1066369x15100047