The following is a list of my refereed publications, listed in chronological order. Work in progress and manuscripts are listed here.
  1. On a system of two Diophantine equations with prime numbers, C. R. Acad. Bulgar. Sci. 49 (1996), 21-24.
  2. On the Piatetski-Shapiro-Vinogradov theorem, J. Theor. Nombres Bordeaux 9 (1997), 11-23.
  3. An additive problem with prime numbers from a thin set (with D.I. Tolev), Acta Math. Hungar. 76 (1997), 31-43.
  4. On an equation with prime numbers (with T. Nedeva), Acta Arith. 83 (1998), 117-126.
  5. On the distribution of prime numbers of the form [nc], Glasgow Math. J. 41 (1999), 85-102.
  6. A Diophantine inequality involving prime powers, Acta Arith. 89 (1999), 311-330.
  7. A note on the 2k-th mean value of the Hurwitz zeta-function, Bull. Austral. Math. Soc. 60 (1999), 403-405.
  8. The k-free divisor problem, Monatsh. Math. 129 (2000), 321-327.
  9. Diophantine approximation by cubes of primes and an almost prime, Rocky Mountain J. Math. 30 (2000), 961-980.
  10. Diophantine approximation by cubes of primes and an almost prime II (with J. Brüdern), Illinois J. Math. 45 (2001), 309-321.
  11. On a binary Diophantine inequality involving prime powers (with M.B.S. Laporta), in "Number Theory for the Millennium", vol. 2, AK Peters, 2002, pp. 307-329.
  12. The difference between consecutive primes in an arithmetic progression, Quart. J. Math. Oxford (2) 53 (2002), 479-501.
  13. The distribution of prime ideals of imaginary quadratic fields (with G. Harman and P.A. Lewis), Trans. Amer. Math. Soc. 356 (2004), 599-620.
  14. Quadratic equations with five prime unknowns (with S.K.K. Choi), J. Number Theory 107 (2004), 357-367.
  15. On the Waring-Goldbach problem: exceptional sets for sums of cubes and higher powers, Canad. J. Math. 57 (2005), 298-327.
  16. An invitation to additive prime number theory (with D.I. Tolev), Serdica Math. J. 31 (2005), 1-74. PDF PS
  17. The Waring-Goldbach problem for seventh powers, Proc. Amer. Math. Soc. 133 (2005), 2927-2937.
  18. On sums of three squares (with S.K.K. Choi and R. Osburn), Internat. J. Number Theory 1 (2005), 161-173.
  19. On sums of squares of primes (with G. Harman), Math. Proc. Cambridge Philos. Soc. 140 (2006), 1-13.
  20. Mean values of Dirichlet polynomials and applications to linear equations with prime variables (with S.K.K. Choi), Acta Arith. 123 (2006), 125-142.
  21. On Weyl sums over primes and almost primes, Michigan Math. J. 54 (2006), 243-268.
  22. On the irreducibility of a truncated binomial expansion (with M. Filaseta and D.V. Pasechnik), Rocky Mountain J. Math. 37 (2007), 455-464.
  23. On sums of primes from Beatty sequences, Integers 8 (2008), #A08.
  24. A binary additive equation involving fractional powers, to appear in Internat. J. Number Theory. PDF PS
  25. Sums of primes and squares of primes in short intervals (with J.Y. Liu), to appear in Monatsh. Math. PDF PS