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, Internat. J. Number Theory. 5 (2009), 281-292.
  25. Sums of primes and squares of primes in short intervals (with J.Y. Liu), Monatsh. Math. 157 (2009), 335-363.