arXiv subjects

T. D. Wooley

Publications and source records attributed to T. D. Wooley.

2 recordsLinked to original sources

arXiv2024

Well-distribution modulo one and the primes

Let $(p_n)$ denote the sequence of prime numbers, with $2=p_1<p_2<\ldots$. We demonstrate the existence of an irrational number $α$ having the property that the sequence $(αp_n)$ is not well-distributed modulo $1$.

math.NT↗

arXiv2007

The Hasse principle for pairs of diagonal cubic forms

By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.

math.NT↗