Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Natalia Budarina"'
Autor:
Natalia Budarina
Publikováno v:
Glasgow Mathematical Journal. 64:411-433
AbstarctAn effective estimate for the measure of the set of real numbers for which the inequality |P(x)| {3 \over 2}n + 1$ has a solution in integral polynomials P of degree n and of height H(P) at most $Q \in {\rm{\mathbb N}}$ is obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b484ddcf322e164c5c5ec9e181cfac8
https://doi.org/10.1017/s0017089521000197
https://doi.org/10.1017/s0017089521000197
Autor:
Natalia Budarina
Publikováno v:
International Journal of Number Theory. 16:651-672
In this paper, we establish a rate of convergence to zero of the measure of the set [Formula: see text] for which the inequality [Formula: see text] for [Formula: see text] has a solution in the integer polynomials [Formula: see text] of degree [Form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2caff8345d7af18935652b4ad204a913
https://doi.org/10.1142/s1793042120500335
https://doi.org/10.1142/s1793042120500335
Publikováno v:
Articles
In this paper, we propose a new method of upper bounds for the number of integer polynomials of the fourth degree with a given discriminant. By direct calculation similar results were established by H. Davenport and D. Kaliada for polynomials of seco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f362b4dae51e1232c5f08edc576b3b4
https://arrow.tudublin.ie/context/ittsciart/article/1090/viewcontent/New_estimates_for_the_number_of_integer_polynomials_with_given_discriminants.pdf
https://arrow.tudublin.ie/context/ittsciart/article/1090/viewcontent/New_estimates_for_the_number_of_integer_polynomials_with_given_discriminants.pdf
Autor:
Natalia Budarina
Publikováno v:
Mathematische Zeitschrift. 293:809-824
We investigate the question on the rate of convergence to zero of the measure of the set $$x\in \mathbb {R}$$ for which the inequality $$|P(x)|n$$ has a solution in integral polynomials of degree n and height bounded by $$Q\in \mathbb {N}$$ . In this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5084fcd4c03fe59845c1dab81d4e3404
https://doi.org/10.1007/s00209-018-2211-1
https://doi.org/10.1007/s00209-018-2211-1
Publikováno v:
Чебышевский сборник. 19:5-14
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50efa4853f12886261ac0feeb75c903f
https://doi.org/10.22405/2226-8383-2018-19-1-5-14
https://doi.org/10.22405/2226-8383-2018-19-1-5-14
Autor:
Victor Gorobets, Ilshat Khayrullin, Tatyana Shchuklina, Natalia Budarina, O R Esin, Elena Gorobets, Rimma Gamirova
Publikováno v:
Journal of the Neurological Sciences. 429:118885
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b3a7b7d11ffc9ef6397fb375d111e6f
https://doi.org/10.1016/j.jns.2021.118885
https://doi.org/10.1016/j.jns.2021.118885
Autor:
Natalia Budarina
Publikováno v:
Funct. Approx. Comment. Math. 58, no. 2 (2018), 269-279
The solvability over the ring of integers $\mathbb Z$ of some Diophantine equations is connected with the property of integers to form sequences of prime numbers, in particular, with the property of numbers to be twins. The Diophantine description of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deb0f50ef7c905a71df488ff34c562c9
https://doi.org/10.7169/facm/1707
https://doi.org/10.7169/facm/1707
Publikováno v:
Articles
An upper bound for the number of cubic polynomials which have small discriminant in terms of the Euclidean and p-adic metrics simultaneously is obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e066300c2cbee0175eeb3b0bf21c63c0
https://arrow.tudublin.ie/context/ittsciart/article/1104/viewcontent/Bernik2018_Article_DiscriminantsOfPolynomialsInTh.pdf
https://arrow.tudublin.ie/context/ittsciart/article/1104/viewcontent/Bernik2018_Article_DiscriminantsOfPolynomialsInTh.pdf
We generalize the result of Davenport on the sum of absolute values of discriminants of integer polynomials of degree three. For the first time, we find the exact upper bound for the number of polynomials with given discriminant in the class of cubic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8627cd0ad02ffc1e717d872ef26f581d
https://doi.org/10.1007/s10986-017-9361-4
https://doi.org/10.1007/s10986-017-9361-4
Publikováno v:
Sovremennye Problemy Matematiki. 17:61-75
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::063cea11c6be96cd96d5e7d710978505
https://doi.org/10.4213/spm43
https://doi.org/10.4213/spm43