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Roger Baker

Retired Faculty

Office: 233 TMCB

Fax Number: (801) 422-0504

Research Interests: 

  • Analytic number theory,including exponential sums, sieve methods, prime number distribution
  • Diophantine inequalities
  • Metric number theory, including sets of fractional dimension

Prizes and Awards:

  1. Research prize of the Hardy-Ramanujan society (twice)

Publications:

  1. Numbers with a large prime factor II. Analytic number theory, Essays in honour of Klaus Roth, (2009), 1-14.
  2. Numbers in a given set with (or without) a large prime factor, Ramanujan Journal, 20 (2010), 275-295.
  3. Sums of two relatively prime k-th powers, Functiones et Approximatio, 42(1) (2010), 67-112.
  4. Zeros of a quadratic form at squarefree points, J. Number Theory, 130 (2010), 2119-2146.
  5. Weyl’s theorem in the measure theory of numbers, Dependence in Probability, Analysis and Number Theory, (2010), 51-72.
  6. The distribution of k-free numbers, Acta Math. Hungar., 126 (2010), 181-197.
  7. Primitive lattice points in planar domains, Acta Arithmetica, 142 (2010), 267-302.
  8. Sequences that omit a box modulo 1, Advances in Math., 227 (2011), 1757-1771.
  9. Primes in arithmetic progressions to spaced moduli, Acta Arith. 153(2), 2012, pp. 133-159.