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Author ID: tolev.doychin-i Recent zbMATH articles by "Tolev, Doychin I."
Published as: Tolev, D. I.; Tolev, D.; Tolev, Doychin I.; Tolev, Doychin
Documents Indexed: 39 Publications since 1988, including 1 Additional arXiv Preprint
Co-Authors: 12 Co-Authors with 10 Joint Publications
121 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 178 times in 116 Documents Cited by Year
On a diophantine inequality involving prime numbers. Zbl 0762.11033
Tolev, D. I.
38
1992
Lagrange’s four squares theorem with one prime and three almost-prime variables. Zbl 1022.11050
Heath-Brown, D. R.; Tolev, D. I.
16
2003
Additive problems with prime numbers of special type. Zbl 0972.11096
Tolev, D. I.
14
2000
On the exponential sum with square-free numbers. Zbl 1099.11042
Tolev, D. I.
11
2005
On an equation with prime numbers. Zbl 0858.11054
Laporta, M. B. S.; Tolev, D. I.
10
1995
Arithmetic progressions of prime-almost-prime twins. Zbl 0929.11043
Tolev, D. I.
9
1999
On the number of pairs of positive integers \(x,y \leq H\) such that \(x^2+y^2+1\) is squarefree. Zbl 1297.11118
Tolev, D. I.
8
2012
Representations of large integers as sums of two primes of special type. Zbl 0972.11097
Tolev, D. I.
7
2000
On the number of representations of an odd integer as a sum of three primes, one of which belongs to an arithmetic progression. Zbl 0911.11048
Tolev, D. I.
7
1997
An invitation to additive prime number theory. Zbl 1164.11339
Kumchev, A. V.; Tolev, D. I.
7
2005
On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form. Zbl 1264.11060
Todorova, T. L.; Tolev, D. I.
7
2010
On a Diophantine inequality with prime numbers of a special type. Zbl 1425.11062
Tolev, D. I.
7
2017
On the distribution of \(r\)-tuples of squarefree numbers in short intervals. Zbl 1196.11130
Tolev, D. I.
4
2006
On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set. Zbl 0877.11048
Tolev, D. I.
3
1997
Lagrange’s four squares theorem with variables of special type. Zbl 1060.11061
Tolev, D. I.
3
2003
On the exceptional set of Lagrange’s equation with three prime and one almost-prime variables. Zbl 1098.11052
Tolev, Doychin
3
2005
On the remainder term in the circle problem in an arithmetic progression. Zbl 1297.11127
Tolev, D. I.
3
2012
On the simultaneous distribution of the fractional parts of different powers of prime numbers. Zbl 0724.11043
Tolev, D. I.
3
1991
The binary Goldbach problem with arithmetic weights attached to one of the variables. Zbl 1213.11174
Tolev, D. I.
3
2010
The ternary Goldbach problem with arithmetic weights attached to two of the variables. Zbl 1230.11128
Tolev, D. I.
3
2010
The ternary Goldbach problem with primes from arithmetic progressions. Zbl 1230.11129
Tolev, D. I.
2
2011
On an equation involving fractional powers with one prime and one almost prime variables. Zbl 1426.11117
Petrov, Zh. Kh.; Tolev, D. I.
2
2017
Diophantine approximations involving primes near squares. Zbl 0781.11028
Tolev, D. I.
1
1991
On a system of two diophantine inequalities with prime numbers. Zbl 0826.11046
Tolev, D. I.
1
1995
An additive problem with primes and almost-primes. Zbl 0898.11037
Peneva, T. P.; Tolev, D. I.
1
1998
On the sum of squares of five prime numbers, one of which belongs to an arithmetic progression. Zbl 1027.11077
Laporta, M. B. S.; Tolev, D. I.
1
2002
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. Zbl 1383.11118
Todorova, T. L.; Tolev, D. I.
1
2014
On the number of pairs of positive integers \(x_1,x_2 \leq H\) such that \(x_1x_2\) is a \(k\)-th power. Zbl 1226.11045
Tolev, Doychin I.
1
2011
On the joint distribution of the fractional parts of different prime powers. Zbl 0701.11032
Tolev, D. I.
1
1989
Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026
Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I.
1
2013
On a Diophantine inequality with prime numbers of a special type. Zbl 1425.11062
Tolev, D. I.
7
2017
On an equation involving fractional powers with one prime and one almost prime variables. Zbl 1426.11117
Petrov, Zh. Kh.; Tolev, D. I.
2
2017
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. Zbl 1383.11118
Todorova, T. L.; Tolev, D. I.
1
2014
Scientific achievements of Anatolii Alekseevich Karatsuba. Zbl 1286.01026
Changa, M. E.; Gritsenko, S. A.; Karatsuba, E. A.; Korolev, M. A.; Rezvyakova, I. S.; Tolev, D. I.
1
2013
On the number of pairs of positive integers \(x,y \leq H\) such that \(x^2+y^2+1\) is squarefree. Zbl 1297.11118
Tolev, D. I.
8
2012
On the remainder term in the circle problem in an arithmetic progression. Zbl 1297.11127
Tolev, D. I.
3
2012
The ternary Goldbach problem with primes from arithmetic progressions. Zbl 1230.11129
Tolev, D. I.
2
2011
On the number of pairs of positive integers \(x_1,x_2 \leq H\) such that \(x_1x_2\) is a \(k\)-th power. Zbl 1226.11045
Tolev, Doychin I.
1
2011
On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form. Zbl 1264.11060
Todorova, T. L.; Tolev, D. I.
7
2010
The binary Goldbach problem with arithmetic weights attached to one of the variables. Zbl 1213.11174
Tolev, D. I.
3
2010
The ternary Goldbach problem with arithmetic weights attached to two of the variables. Zbl 1230.11128
Tolev, D. I.
3
2010
On the distribution of \(r\)-tuples of squarefree numbers in short intervals. Zbl 1196.11130
Tolev, D. I.
4
2006
On the exponential sum with square-free numbers. Zbl 1099.11042
Tolev, D. I.
11
2005
An invitation to additive prime number theory. Zbl 1164.11339
Kumchev, A. V.; Tolev, D. I.
7
2005
On the exceptional set of Lagrange’s equation with three prime and one almost-prime variables. Zbl 1098.11052
Tolev, Doychin
3
2005
Lagrange’s four squares theorem with one prime and three almost-prime variables. Zbl 1022.11050
Heath-Brown, D. R.; Tolev, D. I.
16
2003
Lagrange’s four squares theorem with variables of special type. Zbl 1060.11061
Tolev, D. I.
3
2003
On the sum of squares of five prime numbers, one of which belongs to an arithmetic progression. Zbl 1027.11077
Laporta, M. B. S.; Tolev, D. I.
1
2002
Additive problems with prime numbers of special type. Zbl 0972.11096
Tolev, D. I.
14
2000
Representations of large integers as sums of two primes of special type. Zbl 0972.11097
Tolev, D. I.
7
2000
Arithmetic progressions of prime-almost-prime twins. Zbl 0929.11043
Tolev, D. I.
9
1999
An additive problem with primes and almost-primes. Zbl 0898.11037
Peneva, T. P.; Tolev, D. I.
1
1998
On the number of representations of an odd integer as a sum of three primes, one of which belongs to an arithmetic progression. Zbl 0911.11048
Tolev, D. I.
7
1997
On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set. Zbl 0877.11048
Tolev, D. I.
3
1997
On an equation with prime numbers. Zbl 0858.11054
Laporta, M. B. S.; Tolev, D. I.
10
1995
On a system of two diophantine inequalities with prime numbers. Zbl 0826.11046
Tolev, D. I.
1
1995
On a diophantine inequality involving prime numbers. Zbl 0762.11033
Tolev, D. I.
38
1992
On the simultaneous distribution of the fractional parts of different powers of prime numbers. Zbl 0724.11043
Tolev, D. I.
3
1991
Diophantine approximations involving primes near squares. Zbl 0781.11028
Tolev, D. I.
1
1991
On the joint distribution of the fractional parts of different prime powers. Zbl 0701.11032
Tolev, D. I.
1
1989
all top 5

Cited by 102 Authors

15 Dimitrov, Stoyan Ivanov
9 Li, Jinjiang
9 Zhang, Min
8 Tolev, Doychin I.
7 Cai, Yingchun
5 Zaccagnini, Alessandro
4 Gambini, Alessandro
3 Cantarini, Marco
3 Hou, Fei
3 Languasco, Alessandro
3 Li, Sanhua
3 Liu, Huafeng
3 Matomäki, Kaisa
3 Petrov, Zhivko H.
2 Ching, Tak Wing
2 Grimmelt, Lasse
2 Halupczok, Karin
2 Huang, Jing
2 Kumchev, Angel V.
2 Laporta, Maurizio B. S.
2 Liu, Kui
2 Meng, Xianmeng
2 Shi, Sanying
2 Shubin, Andrei V.
2 Teräväinen, Joni
2 Zhai, Wenguang
2 Zhang, Deyu
2 Zhao, Lilu
1 Avdeeva, Maria
1 Baker, Roger C.
1 Banerjee, Soumyarup
1 Blomer, Valentin
1 Carmon, Dan
1 Cellarosi, Francesco
1 Dai, Lixia
1 Ding, Yuchen
1 Dunn, Alexander
1 Entin, Alexei
1 Feng, Yafang
1 Gorodetsky, Ofir
1 Green, Ben Joseph
1 Han, Ao
1 Han, Xue
1 Hathi, Shehzad
1 Jing, Mengyao
1 Kane, Ben
1 Keil, Eugen
1 Kirkoryan, Artur
1 Kolountzakis, Mihail N.
1 Konyagin, Sergeĭ Vladimirovich
1 Korolëv, Maksim Aleksandrovich
1 Kurlberg, Pär
1 Lapkova, Kostadinka
1 Lester, Stephen J.
1 Li, Junxian
1 Li, Taiyu
1 Lipton, Richard Jay
1 Liu, Huaning
1 Liu, Jianya
1 Liu, Li
1 Liu, Yuhui
1 Liu, Zhixin
1 Lu, Guangshi
1 Lu, Minggao
1 Mangerel, Alexander P.
1 Markakis, Evangelos
1 McGrath, Oliver
1 Mehta, Aranyak
1 Niu, Wei
1 Pan, Hao
1 Pandey, Manish Kumar
1 Radziwiłł, Maksym
1 Ren, Xiumin
1 Rodgers, Brad
1 Rosenzweig, Lior
1 Rydin Myerson, Simon L.
1 Schindler, Damaris
1 Shao, Xuancheng
1 Shparlinski, Igor E.
1 Sinaĭ, Yakov Grigor’evich
1 Sofos, Efthymios
1 Song, Yanbo
1 Sun, Haiwei
1 Sun, Qingfeng
1 Tao, Terence
1 Todorova, Tatyana L.
1 Too, Yeu-Hua
1 Tsang, Kai-Man
1 Vaishya, Lalit
1 Vishnoi, Nisheeth K.
1 Wang, Hui
1 Weingartner, Andreas J.
1 Wooley, Trevor D.
1 Xi, Ping
1 Yamagishi, Shuntaro
1 Yao, Weili
1 Yi, Yuan
1 Yu, Gang
1 Zhou, Guangliang
1 Zhu, Lie
...and 2 more Authors
all top 5

Cited in 47 Serials

20 Journal of Number Theory
11 The Ramanujan Journal
7 International Journal of Number Theory
6 Monatshefte für Mathematik
4 Mathematical Notes
4 Acta Mathematica Hungarica
4 Journal de Théorie des Nombres de Bordeaux
3 Czechoslovak Mathematical Journal
3 Functiones et Approximatio. Commentarii Mathematici
3 Proceedings of the American Mathematical Society
3 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
3 Georgian Mathematical Journal
2 Indian Journal of Pure & Applied Mathematics
2 Lithuanian Mathematical Journal
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Acta Arithmetica
2 Mathematika
2 Geometric and Functional Analysis. GAFA
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Mathematics
2 Discrete Analysis
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Theory of Probability and its Applications
1 Archiv der Mathematik
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematica Slovaca
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Combinatorica
1 Applied Mathematics Letters
1 Journal of the Ramanujan Mathematical Society
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Sciences (New York)
1 Doklady Mathematics
1 Acta Mathematica Sinica. English Series
1 Integers
1 Journal of the Australian Mathematical Society
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Frontiers of Mathematics in China
1 Forum of Mathematics, Sigma
1 AIMS Mathematics

Citations by Year