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Научни приноси на проф. доктор на науките Дойчин Толев

Researcher ID (Web of Science):E-8517-2019
Дисертация доктор на науките
Дойчин Иванов Толев, Аддитивные задачи в теории чисел, МГУ "М. Ломоносов", Москва 2001
Дисертация д-р
Дойчин Иванов Толев, Диофантовы неравенства с простыми числами, МГУ "М. Ломоносов", Москва, Ръководител:А. А. Карацуба 1990
Друго (научно-популярни и др. под.)
1 D. I. Tolev, On the remainder term in the circle problem in an arithmetic progression, 2011
2 D. I. Tolev, An invitation to additive prime number theory, 2004
3 D. I. Tolev, Additive problems with prime numbers of special type (vol 96, pg 53, 2000), 2002
Статия в научно списание
1 D. I. Tolev, On a Diophantine Inequality with Prime Numbers of a Special Type, Proceedings of the Steklov Institute of Mathematics, vol:299, issue:1, 2017, pages:246-267, ISSN (print):0081-5438, ISSN (online):1531-8605, doi:http://dx.doi.org/10.1134/S0081543817080168, Ref, Web of Science, SCOPUS Quartile: Q3 (2017) 2017
2 D. I. Tolev, Zh. Petrov, On an equation involving fractional powers with one prime and one almost prime variables, Proceedings of the Steklov Institute of Mathematics, vol:24, issue:298, 2017, pages:46-65, ISSN (print):0081-5438, ISSN (online):1531-8605, doi:https://doi.org/10.1134/S0081543817070021, Ref, Web of Science, SCOPUS Quartile: Q3 (2017), PhD 2017
3 D. I. Tolev, T. L. Todorova, On the equation x_1^2 + x_2^2 + x_3^2 + x_4^2 = N with variables such that x_1 x_2 x_3 x_4 + 1 is an almost-prime,, Tatra Mountains Math. Publications, vol:59, issue:I, 2014, pages:1-26, ISSN (print):1210-3195, ISSN (online):1338-9750, Ref 2014
4 D. I. Tolev, On the number of pairs of positive integers x, y < H such that x^2 + y^2 + 1 is squarefree, Monatshefte für Mathematik, vol:165, issue:3-4, 2012, pages:557-567, ISSN (print):0026-9255, doi:https://doi.org/10.1007/s00605-010-0246-4, Ref, Web of Science, SCOPUS Quartile: Q2 (2012) 2012
5 D. I. Tolev, On the remainder term in the circle problem in an arithmetic progression, PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, vol:276, issue:1, 2012, pages:261-274, ISSN (print):0081-5438, doi:https://doi.org/10.1134/S0081543812010233, Ref, Web of Science, SCOPUS Quartile: Q4 (2012) 2012
6 Д. И. Толев, С. А. Гриценко, Е. А. Карацуба, М. А. Королёв, И. С. Резвякова, М. Е. Чанга, Научные достижения Анатолия Алексеевича Карацубы, Современные проблемы математики, vol:16, 2012, pages:7-30, International 2012
7 D. I. Tolev, On the number of pairs of positive integers x1, x2 <= H such that x1 x2 is a k-th power, PACIFIC JOURNAL OF MATHEMATICS, vol:249, issue:2, 2011, pages:495-507, ISSN (print):0030-8730, doi:https://doi.org/10.2140/pjm.2011.249.495, Ref, Web of Science, SCOPUS Quartile: Q2 (2011) 2011
8 D. I. Tolev, The ternary Goldbach problem with primes from arithmetic progressions, QUARTERLY JOURNAL OF MATHEMATICS, vol:62, issue:1, 2011, pages:215-221, ISSN (print):0033-5606, doi:https://doi.org/10.1093/qmath/hap027, Ref, IF, IF (0.617 - 2011), SCOPUS Quartile: Q2 (2011) 2011
9 D. I. Tolev, An identity for the Kloosterman sum, arXiv preprint arXiv:1007.2054, 2010 2010
10 D. I. Tolev, A. Kirkoryan, On a version of the Hua problem, MATHEMATICAL NOTES, vol:88, issue:3-4, 2010, pages:365-373, ISSN (print):0001-4346, doi:https://doi.org/10.1134/S0001434610090099, Ref, IF, IF (0.344 - 2010), SCOPUS Quartile: Q4 (2010), MSc 2010
11 D. I. Tolev, T. L. Todorova, On the distribution of $\alpha p$ modulo one for primes $p$ of a special form, Mathematica Slovaca, vol:60, issue:6, 2010, pages:771-786, ISSN (print): 0139-9918, ISSN (online):1337-2211, doi:https://doi.org/10.2478/s12175-010-0045-3, Ref, Web of Science, SCOPUS Quartile: Q4 (2010) 2010
12 Todorova, T. L., Tolev, D. I., On the distribution of alpha p modulo one for primes p of a special form, MATHEMATICA SLOVACA, vol:60, issue:6, 2010, pages:771-786, ISSN (print):0139-9918, ISSN (online):1337-2211, doi:10.2478/s12175-010-0045-3 2010
13 D. I. Tolev, The binary Goldbach problem with arithmetic weights attached to one of the variables., ACTA ARITHMETICA, vol:142, issue:2, 2010, pages:169-178, ISSN (print):0065-1036, doi: https://doi.org/10.4064/aa142-2-6, Ref, Web of Science, SCOPUS Quartile: Q3 (2010) 2010
14 D. I. Tolev, The ternary Goldbach problem with arithmetic weights attached to two of the variables, JOURNAL OF NUMBER THEORY, vol:130, issue:2, 2010, pages:439-457, ISSN (print):0022-314X, doi:https://doi.org/10.1016/j.jnt.2009.07.012, Ref, Web of Science, SCOPUS Quartile: Q3 (2010) 2010
15 D. I. Tolev, K. Lapkova, Lagrange's equation with almost prime variables lying in a short interval, COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol:60, issue:7, 2007, pages:715-718, ISSN (print):1310-1331, Ref, Web of Science, SCOPUS Quartile: Q4 (2007), MSc 2007
16 D. I. Tolev, On the distribution of r-tuples of squarefree numbers in short intervals, INTERNATIONAL JOURNAL OF NUMBER THEORY, vol:2, issue:2, 2006, pages:225-234, ISSN (print):1793-0421, doi:https://doi.org/10.1142/S179304210600053X, Ref, Web of Science, SCOPUS Quartile: Q3 (2008) 2006
17 D. I. Tolev, A. Kumchev, An invitation to additive prime number theory, Serdica Math. J., vol:31, 2005, International 2005
18 D. I. Tolev, On the exceptional set of Lagrange’s equation with three prime and one almost-prime variables, J. Theorie Nombr. Bordeaux, vol:17, 2005, pages:925-948 2005
19 D. I. Tolev, On the exponential sum with squarefree numbers, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, vol:37, issue:6, 2005, pages:827-834, doi:https://doi.org/10.1112/S0024609305004753, Ref, Web of Science, SCOPUS Quartile: Q2 (2005) 2005
20 D. I. Tolev, D. R. Heath-Brown, Lagrange’s four squares theorem with one prime and three almost-prime variables, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, vol:558, 2003, pages:159-224, ISSN (print):0075-4102, Ref, Web of Science, SCOPUS Quartile: Q1 (2003), International 2003
21 Д. И. Толев, М. Лапорта, О сумме пяти квадратов простых чисел, одно из которых принадлежит арифметической прогрессии, Фундам. Прикл. Мат., vol:8, issue:1, 2002, pages:85-96, International 2002
22 D. I. Tolev, Additive problems with prime numbers of special type, ACTA ARITHMETICA, vol:96, issue:1, 2000, pages:53-88, doi:https://doi.org/10.4064/aa96-1-2, Ref, Web of Science, SCOPUS Quartile: Q3 (2000) 2000
23 D. I. Tolev, Arithmetic progressions of prime-almost-prime twins, ACTA ARITHMETICA, vol:88, issue:1, 1999, pages:67-98, Ref, Web of Science, SCOPUS Quartile: Q2 (1999) 1999
24 D. I. Tolev, T. Peneva, An additive problem with primes and almost-primes, ACTA ARITHMETICA, vol:83, issue:2, 1998, pages:155-169, Ref, IF, IF (0.484 - 1998), SCOPUS Quartile: Q2 (1998) 1998
25 D. I. Tolev, A. Kumchev, An additive problem with prime numbers from a thin set, ACTA MATHEMATICA HUNGARICA, vol:76, issue:1-2, 1997, pages:31-43, ISSN (print):0236-5294, doi:https://doi.org/10.1007/BF02907050, Ref, IF, IF (0.069 - 1997), SCOPUS Quartile: Q4 (1997) 1997
26 D. I. Tolev, On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set, ACTA ARITHMETICA, vol:81, issue:1, 1997, pages:57-68, ISSN (print):0065-1036, Ref, Web of Science, SCOPUS Quartile: Q1 (1997) 1997
27 D. I. Tolev, On the number of representations of an odd integer as a sum of three primes, one of which belongs to an arithmetic progression, Труды матем. и-та им. Стеклова, vol:218, 1997, pages:415-432 1997
28 D. I. Tolev, ON A SYSTEM OF 2 DIOPHANTINE INEQUALITIES WITH PRIME-NUMBERS, ACTA ARITHMETICA, vol:69, issue:4, 1995, pages:387-400, ISSN (print):0065-1036 1995
29 D. I. Tolev, On a system of two Diophantine inequalities with prime numbers, ACTA ARITHMETICA, vol:69, issue:4, 1995, pages:387-400, Ref, IF, IF (0.471 - 1997), SCOPUS Quartile: Q1 (1997) 1995
30 D. I. Tolev, M. Laporta, On an equation with prime numbers, MATHEMATICAL NOTES, vol:57, issue:5-6, 1995, pages:654-657, ISSN (print):0001-4346, doi:https://doi.org/10.1007/BF02304564, Ref, Web of Science, SCOPUS Quartile: Q4 (1997), International 1995
31 D. I. Tolev, On a Diophantine inequality involving prime numbers, ACTA ARITHMETICA, vol:61, issue:3, 1992, pages:289-306, ISSN (print):0065-1036, doi:https://doi.org/10.4064/aa-61-3-289-306, Ref, Web of Science, SCOPUS Quartile: Q1 (1997) 1992
32 D. I. Tolev, DIOPHANTINE APPROXIMATIONS INVOLVING PRIMES NEAR SQUARES, MATHEMATICAL NOTES, vol:50, issue:3-4, 1991, pages:966-969, doi:https://doi.org/10.1007/BF01156144, Ref, IF, IF (0.108 - 1997), SCOPUS Quartile: Q4 (1997) 1991
33 D. I. Tolev, On the simultaneous distribution of the fractional parts of different powers of prime numbers, JOURNAL OF NUMBER THEORY, vol:37, issue:3, 1991, pages:298-306, ISSN (print):0022-314X, doi:https://doi.org/10.1016/S0022-314X(05)80045-9, Ref, Web of Science, SCOPUS Quartile: Q2 (1997) 1991
34 D. I. Tolev, ON THE JOINT DISTRIBUTION OF THE FRACTIONAL-PARTS OF DIFFERENT PRIME POWERS, RUSSIAN MATHEMATICAL SURVEYS, vol:44, issue:6, 1989, pages:192-193, ISSN (print):0036-0279, doi:https://doi.org/10.1070/RM1989v044n06ABEH002296, Ref, IF, IF (0.24 - 1997), SCOPUS Quartile: Q3 (1997) 1989
35 D. I. Tolev, ON THE NUMBER OF DIVISORS [NC], DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, vol:42, issue:12, 1989, pages:49-50, ISSN (print):0861-1459 1989
36 D. I. Tolev, ON THE DIVISION-PROBLEM IN ARITHMETIC PROGRESSIONS, DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, vol:41, issue:10, 1988, pages:33-36, ISSN (print):0861-1459 1988
Статия в сборник (на конференция и др.)
1 Д. И. Толев, Класически задачи от теорията на числата и съвременни методи и постижения, свързани с тях, Математика и математическо образование, 45-та пролетна конференция на СМБ, Плевен, 2016, 2016, pages:39-47, Ref 2016
2 Д. И. Толев, Проблеми на Голдбах - минало, настояще, бъдеще, Математика и математическо образование, Научни трудове на 33 пролетна конференция на СМБ, Боровец, 2004, pages:61-69 2004
3 D. I. Tolev, Lagrange’s four squares theorem with variables of special type,, Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 17 pp. Bonner Math. Schriften, 360, Univ. Bonn, Bonn, 2003 2003
4 D. I. Tolev, Representations of large integers as sums of two primes of special type, Algebraic number theory and Diophantine analysis (Graz, 1998),, Publisher:de Gruyter, Berlin, 2000 2000
Студия в научно списание
Changa, M. E., Gritsenko, S. A., Karatsuba, E. A., Korolev, M. A., Rezvyakova, I. S., D. I. Tolev, Scientific achievements of Anatolii Alekseevich Karatsuba, PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, vol:280, 2013, pages:1-22, ISSN (print):0081-5438, ISSN (online):1531-8605, doi:10.1134/S0081543813030012 2013
Участие в конференция
1 Секционен доклад, Дойчин Толев, On certain additive problems with primes and almost-primes 2017
2 Секционен доклад, Дойчин Толев, Класически задачи от теорията на числата и съвременни методи и постижения, свързани с тях 2016
3 Секционен доклад, Дойчин Толев, Малки разлики между съседни прости числа 2016
4 Секционен доклад, Дойчин Толев, Върху последните открития в теорията на простите числа 2014
Учебник
1 Д. И. Толев, Лекции по диференциално и интегрално смятане, Университетско издателство на СУ, София, Рецензирано 2025
2 Д. И. Толев, Лекции по елементарна и аналитична теория на числата - I том, Университетско издателство на СУ, София, Рецензирано 2016
3 Д. И. Толев, Лекции по елементарна и аналитична теория на числата - II том, Университетско издателство на СУ, София, Рецензирано 2016
4 Д. И. Толев, Н. Начев, Ръководство по теория на числата, Пловдивско университетско издателство, Рецензирано 2003
Учебно помагало
1 Д. И. Толев, Увод в аналитичната теория на числата - IV, Електронна библиотека към ФМИ при СУ, Рецензирано 2014
2 Д. И. Толев, Увод в аналитичната теория на числата - III, Електронна библиотека към ФМИ при СУ, Рецензирано 2013
3 Д. И. Толев, Увод в аналитичната теория на числата - II, Електронна библиотека към ФМИ при СУ, Рецензирано 2012
4 Д. И. Толев, Увод в аналитичната теория на числата, Електронна библиотека към ФМИ при СУ, Рецензирано 2011
5 Д. И. Толев, Адитивни задачи в теорията на числата, Електронна библиотека към ФМИ при СУ, Рецензирано 2009