### Journal Articles in Number Theory+

*A framework for discrete bilinear spherical averages and applications to \(\ell^p\)-improving estimates*(with T. Anderson and E. Palsson). Colloquium Mathematicum**175**(2024), 55–76.*Short interval results for powerfree polynomials over finite fields*(with N. McNew and A. Park). International Journal of Number Theory**20**(2024), 867–892.*Explicit bounds for large gaps between squarefree integers*(with W. McCormick, N. McNew, A. Park, R. Scherr, and W. Ziehr). Journal of Number Theory**254**(2024), 336–357.*Discrete maximal operators for surfaces of higher codimension*(with T. Anderson and E. Palsson). (La) Matematica**1**(2022), 442–479.*On the ergodic Waring-Goldbach problem*(with T. Anderson, B. Cook and K. Hughes). Journal of Functional Analysis**282**(2022), Paper 109334, 39 pp.*Hilbert transforms and the equidistribution of zeros of polynomials*(with E. Carneiro, M. Das, A. Florea, A. Malik, M. Milinovich, C. Turnage-Butterbaugh, and J. Wang). Journal of Functional Analysis**281**(2021), Paper 109199, 25 pp.*A hybrid of two theorems of Piatetski-Shapiro*(with Zh. Petrov). Monatshefte für Mathematik**189**(2019), 355–376.*Improved \(\ell^p\)-boundedness for integral \(k\)-spherical maximal functions*(with T. Anderson, B. Cook and K. Hughes). Discrete Analysis**2018**, Paper 10, 18 pp.*On sums of powers of almost equal primes*(with H. Liu). Journal of Number Theory**176**(2017), 344–364.*The strong symmetric genus spectrum of abelian groups*(with C. May and J. Zimmerman). Archiv der Mathematik (Basel)**108**(2017), 341–350.*On the Waring-Goldbach problem for seventh and higher powers*(with T. Wooley). Monatshefte für Mathematik**183**(2017), 303–310.*On the Waring-Goldbach problem for eighth and higher powers*(with T. Wooley). Journal of the London Mathematical Society (2)**93**(2016), 811–824.*On sums of four squares of primes*(with L. Zhao). Mathematika**62**(2016), 348–361.*On the fractional parts of \(a^n/n\)*(with J. Cilleruelo, F. Luca, J. Rué, and I. Shparlinski). Bulletin of the London Mathematical Society**45**(2013), 249–256.*On the convergence of some alternating series*. Ramanujan Journal**30**(2013), 101–116.*Sums of almost equal squares of primes*(with T. Li). Journal of Number Theory**132**(2012), 608–636.*On sums of Ramanujan sums*(with T.H. Chan). Acta Arithmetica**152**(2012), 1–10.*Additive bases arising from functions in a Hardy field*(with T.H. Chan and M. Wierdl). Acta Mathematica Hungarica**129**(2010), 263–276.*On sums of squares of primes II*(with G. Harman). Journal of Number Theory**130**(2010), 1969–2002.*Sums of primes and squares of primes in short intervals*(with J. Liu). Monatshefte für Mathematik**157**(2009), 335–363.*A binary additive equation involving fractional powers*. International Journal of Number Theory**5**(2009), 281–292.*On sums of primes from Beatty sequences*. Integers**8**(2008), #A08.*On the irreducibility of a truncated binomial expansion*(with M. Filaseta and D. Pasechnik). Rocky Mountain Journal of Mathematics**37**(2007), 455–464.*On Weyl sums over primes and almost primes*. Michigan Mathematical Journal**54**(2006), 243–268.*Mean values of Dirichlet polynomials and applications to linear equations with prime variables*(with S. Choi). Acta Arithmetica**123**(2006), 125–142.*On sums of squares of primes*(with G. Harman). Mathematical Proceedings of the Cambridge Philosophical Society**140**(2006), 1–13.*On sums of three squares*(with S. Choi and R. Osburn). International Journal of Number Theory**1**(2005), 161–173.*The Waring–Goldbach problem for seventh powers*. Proceedings of the American Mathematical Society**133**(2005), 2927–2937.*On the Waring–Goldbach problem: Exceptional sets for sums of cubes and higher powers*. Canadian Journal of Mathematics**57**(2005), 298–327.*Quadratic equations with five prime unknowns*(with S. Choi). Journal of Number Theory**107**(2004), 357–367.*The distribution of prime ideals of imaginary quadratic fields*(with G. Harman and P. Lewis). Transactions of the American Mathematical Society**356**(2004), 599–620.*The difference between consecutive primes in an arithmetic progression*. Quarterly Journal of Mathematics Oxford (2)**53**(2002), 479–501.*Diophantine approximation by cubes of primes and an almost prime II*(with J. Brüdern). Illinois Journal of Mathematics**45**(2001), 309–321.*Diophantine approximation by cubes of primes and an almost prime*. Rocky Mountain Journal of Mathematics**30**(2000), 961–980.*The k-free divisor problem*. Monatshefte für Mathematik**129**(2000), 321–327.*A note on the 2k-th mean value of the Hurwitz zeta-function*. Bulletin of the Australian Mathematical Society**60**(1999), 403–405.*A Diophantine inequality involving prime powers*. Acta Arithmetica**89**(1999), 311–330.*On the distribution of prime numbers of the form \([n^c]\)*. Glasgow Mathematical Journal**41**(1999), 85–102.*On an equation with prime numbers*(with T. Nedeva). Acta Arithmetica**83**(1998), 117–126.*On the Piatetski-Shapiro–Vinogradov theorem*. Journal de Théorie des Nombres de Bordeaux**9**(1997), 11–23.*An additive problem with prime numbers from a thin set*(with D. Tolev). Acta Mathematica Hungarica**76**(1997), 31–43.*On a system of two Diophantine equations with prime numbers*. Comptes Rendus de l’Academie Bulgare des Sciences**49**(1996), 21–24.

### Articles in Conference Proceedings and Other Publications

*Explicit bounds for large gaps between cubefree integers*(with W. McCormick, N. McNew, A. Park, R. Scherr, and W. Ziehr). To appear in “Combinatorial and Additive Number Theory VI” (Proceedings of the CANT Workshops, New York, NY: May 2022 and May 2023), Springer.*On a two-dimensional exponential sum*. In “Combinatorial and Additive Number Theory IV” (Proceedings of the CANT Workshops, New York, NY: May 21-24, 2019 and June 1-5, 2020), Springer, 2021, pp. 371–383.*Sieve methods and exponential sums: An interplay between combinatorics and harmonic analysis*. In “Prime Numbers and Representation Theory” (Proceedings of the Workshops on Number Theory, Beijing: July 20–28, 2014 and July 16–31, 2015), Science Press, 2017, pp. 13–47.*On Weyl sums over primes in short intervals*. In “Number Theory: Arithmetic in Shangri-La” (Proceedings of the China–Japan Seminar on Number Theory, Shanghai: August 15–17, 2011), World Scientific, 2013, pp. 116–131.*Estimation of the commodity flow of chlorine from storage data*(with D. Howell, A. Kolesnikov, P. O’Neill, and M. Tiger). Journal of Transportation Security**5**(2012), 51–68.*An invitation to additive prime number theory*(with D. Tolev). Serdica Mathematical Journal**31**(2005), 1–74.*On a binary Diophantine inequality involving prime powers*(with M. Laporta). In “Number Theory for the Millennium, II” (Proceedings of the Millennial Conference on Number Theory, Urbana, IL: May 21–26, 2000), AK Peters, 2002, pp. 307–329.*Squarefree numbers in short intervals*. An old unpublished note; see*Explicit bounds for large gaps…*above for a more recent and much improved version.