K. Yau

activity

20172019

most citedOn primes represented by quartic polynomials on average

2 citations · 2 across the 6 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.NT2017

A refinement of the Burgess bound for character sums

Bryce Kerr, Igor E. Shparlinski, Kam Hung Yau

In this paper we give a refinement of the bound of D. A. Burgess for multiplicative character sums modulo a prime number $q$ . This continues a series of previous logarithmic improv…

math.NT2017

Distribution of $α n + β$ modulo 1 over integers free from large and small primes

Kam Hung Yau

For any $ε > 0$ , we obtain an asymptotic formula for the number of solutions $n \leq x$ to $∥ α n + β ∥ < x^{- \frac{1}{4} + ε}$ where $n$ is $[y, z]$ -smo…

math.NT2017

Bounds of triple exponential sums with mixed exponential and linear terms

Kam Hung Yau

We establish bounds of triple exponential sums with mixed exponential and linear function. The method we use is by Shparlinski together with a bound of additive energy from Roche-N…

A refinement of the Burgess bound for character sums

Distribution of αn+β modulo 1 over integers free from large and small primes

Bounds of triple exponential sums with mixed exponential and linear terms

Distribution of $α n + β$ modulo 1 over integers free from large and small primes