Persons: Kudin, Aleksei Sergeevich

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Kudin, Aleksei Sergeevich

Senior Researcher

Candidate of physico-mathematical sciences

E-mail:

Keywords:

Diophantine approximation, metric number theory

Subject:

Diophantine approximation, metric number theory

Main publications:

Kudin, A.S., “Ob otsenke snizu kolichestva tselochislennykh mnogochlenov zadannoi stepeni s maloi proizvodnoi v korne”, Vestsi NAN Belarusi. Ser. fiz.-mat. navuk., 2014, № 4, 112–115
Kudin, A.S., “Ob otsenke sverkhu kolichestva mnogochlenov s ogranichennoi proizvodnoi v korne”, Doklady NAN Belarusi, 59:6 (2015), 18-23
Kudin, A.S., “O malosti neprivodimykh delitelei tselochislennykh polinomov”, Doklady NAN Belarusi, 61:3 (2017), 14-17
Kudin, A.S., “Ob otsenkakh velichin rezultantov tselochislennykh polinomov bez obschikh kornei”, Doklady NAN Belarusi, 62:1 (2018), 18-23
A. Kudin, D. Vasilyev, “Counting real algebraic numbers with bounded derivative of minimal polynomial”, https://arxiv.org/abs/1811.10664, Int. J. Number Theory, 15:10 (2019), 2223-2239

	Publications in Math-Net.Ru	Citations
	2023
1.	V. I. Bernik, A. S. Kudin, A. V. Titova, “Distinction of measures of Haar cylinders in the Dirichlet theorem for the field of p-adic numbers”, Dal'nevost. Mat. Zh., 23:1 (2023), 3–11
	2022
2.	V. I. Bernik, I. A. Korlyukova, A. S. Kudin, A. V. Titova, “Integer polynomials and Minkowski's theorem on linear forms”, Chebyshevskii Sb., 23:1 (2022), 45–52	1
	2019
3.	D. V. Vasilyev, A. S. Kudin, “On upper bounds for the number of minimal polynomials with bounded derivative at a root”, Chebyshevskii Sb., 20:2 (2019), 47–54
	2017
4.	V. I. Bernik, A. G. Gusakova, A. S. Kudin, “Upper and lower estimates of the number of algebraic points in short intervals”, Chebyshevskii Sb., 18:4 (2017), 116–127
	2015
5.	A. S. Kudin, A. V. Lunevich, “Analog of Khinchin's theorem in case of divergence in the fields of real, complex and $p$-adic numbers”, Tr. Inst. Mat., 23:1 (2015), 76–83	1
	2014
6.	V. I. Bernik, D. V. Vasiliev, A. S. Kudin, “On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial”, Tr. Inst. Mat., 22:2 (2014), 3–8	3

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