Doychin Tolev

Scientific papers

1. On the distribution of $\alpha p$ modulo one for primes $p$ of a special form,
   arXiv:math.NT/0711.0171v2.
   
   
2. On the distribution of r-tuples of squarefree numbers in short intervals,
   International Journal of Number Theory, 2, (2006), 225-234.
   
   
3. On the exceptional set of Lagrange’s equation with three prime and one almost-prime variables,
   J. Theorie Nombr. Bordeaux, 17, (2005), 925-948.
   
   
4. On the exponential sum with squarefree numbers,
   Bull. London Math. Soc., 37, 6, (2005), 827-834.
   
   
5. 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.
   
   
6. Lagrange’s four squares theorem with one prime and three almost-prime variables,
   (съвместно с D. R. Heath–Brown), J. Reine Angew. Math. 558 (2003), 159–224.
   
   
7. О сумме пяти квадратов простых чисел, одно из которых принадлежит арифметической прогрессии,
   (съвместно с М. Лапорта) Фундам. Прикл. Мат. 8, 1, (2002), 85–96.
   
   
8. Additive problems with prime numbers of special type,
   Acta Arith. 96, 11 (2000), 53–88. Corrigendum: Acta Arith. 105, 2, (2002), 205.
   
   
9. Representations of large integers as sums of two primes of special type,
   Algebraic number theory and Diophantine analysis (Graz, 1998), 485–495, de Gruyter, Berlin, 2000.
   
   
10. Arithmetic progressions of prime-almost-prime twins,
    Acta Arith. 88, 1, (1999), 67–98.
    
    
11. An additive problem with primes and almost-primes,
    (съвместно с Т. Пенева), Acta Arith. 83, 2, (1998), 155–169.
    
    
12. 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 218 (1997), Анал. теор. чисел и прилож., 415–432.
    
    
13. An additive problem with prime numbers from a thin set,
    (съвместно с А. Кумчев), Acta Math. Hungar. 76, 1-2, (1997), 31–43.
    
    
14. On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set,
    Acta Arith. 81, 1, (1997), 57–68.
    
    
15. Об одном уравнении с простыми числами,
    (съвместно с М. Лапорта), Матем. Заметки 57, 6, (1995), 926–929.
    
    
16. On a system of two Diophantine inequalities with prime numbers,
    Acta Arith. 69, 4, (1995), 387–400.
    
    
17. On a Diophantine inequality involving prime numbers,
    Acta Arith. 61, 3, (1992), 289–306
    
    
18. Diophantine approximations with prime numbers near to squares,
    (in Russian), Matem. Zametki 50, 3, (1991), 129–134.
    
    
19. On the simultaneous distribution of the fractional parts of different powers of prime numbers,
    J. Number Theory 37, 3, (1991), 298–306.

Surveys

1. An invitation to additive prime number theory,
   (with A.Kumchev), Serdica Math. J., 31, (2005), 1001–1074.
   
   
2. Goldbach's problems: past, present and future,
   (in Bulgarian), Mathematics and Mathematical Education, 61-69, Scientific Works of the 33 Spring conference of the UBM, Borovets 2004.
   

Theses

1. Additive problems in number theory,
   (in Russian), DSc Thesis , Moscow Lomonosov University, Moscow, 2001.
   
   
2. Diophantine inequalities with prime numbers,
   (in Russian), PhD Thesis , Moscow Lomonosov University, Moscow, 1990.

Textbooks

1. Problems in number theory,
   (with N. Nachev, in Bulgarian), Plovdiv University Press, 2003.