I am interested in Analytic Number Theory, particularly in Sieve Methods, Circle Method, and Bounds for Character Sums. I apply these techniques to count integers which satisfy some interesting arithmetic conditions.

The arXiv link is the free online preprint of the published article, the contents are exactly the same modulo the presentation. If you do not have access to the papers, I am happy to send you a copy, just email me at: kamhungyau DOT math AT gmail DOT com

1. On product of integers free of small prime factors and primes in arithmetic progressions. Monatshefte für Mathematik. 196 (2021), 411-428 (Journal, arXiv)

2. Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer. Funct. Approx. Comment. Math. 64 (1): 77-108. (Journal, arXiv)

3. On products of primes and square-free integers in arithmetic progressions. New Zealand J. Math. 50 (2020), 93-99. (Journal)

4. (with M. Munsch & I. E. Shparlinski) Smooth square-free and square-full integers in arithmetic progressions. Mathematika 66 (2) (2020), 56-70. (Journal, arXiv)

5. (with B. Kerr & I. E. Shparlinski) A refinement of the Burgess bound for character sums. Michigan Math. J. 69 (2) ,(2020), 227-240. (Journal, arXiv)

6. Distribution of $\alpha n + \beta$ modulo 1 over integers free from large and small primes. Acta Arith. 189 (1) (2019), 95-107. (Journal, arXiv)

7. Bounds for triple exponential sums with mixed exponential and linear terms. Bull. Aust. Math. Soc. 98 (1) (2018), 64-69. (Journal, arXiv)

8. (with I. E. Shparlinski) Double exponential sums with exponential functions. Int. J. Number Theory 13 (10) (2017), 2531-2543. (Journal)

9. (with I. E. Shparlinski) Bounds of double multiplicative character sums and gaps between residues of exponential functions. J. Number Theory 167 (2016), 304-316. (Journal)