Zobrazeno 1 - 7
of 7
pro vyhledávání: '"E E Lavrentyeva"'
Autor:
I. G. Galyautdinov, E. E. Lavrentyeva
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 2, Pp 147-161 (2024)
Two forms f (x, y, z) and g(x, y, z) of degree 3 were constructed, with their values being the norms of numbers in the subfields of degree 3 of the circular fields K13 and K19 , respectively. Using the decomposition law in a circular field, Diopha
Externí odkaz:
https://doaj.org/article/0fb8a9f010f740ffa697845423bbc71b
Autor:
I. G. Galyautdinov, E. E. Lavrentyeva
Publikováno v:
Russian Mathematics. 64:38-47
Using the fundamental basis of the field $L_9=\mathbb{Q} (2\cos(\pi/9)),$ the form $N_{L_9}(\gamma)=f(x, y, z)$ is found and the Diophantine equation $f(x,y,z)=a$ is solved. A similar scheme is used to construct the form $N_{L_7}(\gamma)=g(x,y,z)$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a14c68ccec28acc892d60e099c0a23df
https://doi.org/10.3103/s1066369x20070051
https://doi.org/10.3103/s1066369x20070051
Autor:
I. G. Galyautdinov, E. E. Lavrentyeva
Publikováno v:
Lobachevskii Journal of Mathematics. 40:630-639
We find a necessary and sufficient condition on the natural number n in order that the conjugates of an entire algebraic number α = 2 cos(π/n) form a normal basis of the field ℚ(α); we show that this normal basis at the same time is fundamental.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d84ef7ba331152c82b99e71f4b775cf6
https://doi.org/10.1134/s1995080219050081
https://doi.org/10.1134/s1995080219050081
Autor:
I. G. Galyautdinov, E. E. Lavrentyeva
Publikováno v:
Lobachevskii Journal of Mathematics. 37:342-348
Solutions of two problems are proposed based on the Tschirnhausen transform. The first problem is connected with the construction of minimal polynomials of the numbers of the form tan2(π/n) by means of the Tschirnhausen transform for all natural n >
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8c28d6bf87e859717ae9b59fd78bfd0
https://doi.org/10.1134/s1995080216030033
https://doi.org/10.1134/s1995080216030033
Autor:
I G Galyautdinov, E E Lavrentyeva
Publikováno v:
Journal of Physics: Conference Series. 1158:022042
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6b6beaf85390b22b0db1f146a98d481
https://doi.org/10.1088/1742-6596/1158/2/022042
https://doi.org/10.1088/1742-6596/1158/2/022042
Publikováno v:
IOP Conference Series: Materials Science and Engineering. 158:012012
We construct the finite-element approximations for mixed variational inequalities with pseudomonotone operators and convex non-differentiable functionals in Sobolev spaces. Such variational inequalities arise in the mathematical description of the pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::139d75a0b20e0ddafe682d194098424d
https://doi.org/10.1088/1757-899x/158/1/012012
https://doi.org/10.1088/1757-899x/158/1/012012
Publikováno v:
IOP Conference Series: Materials Science & Engineering; 2016, Vol. 158 Issue 1, p1-1, 1p