T. D. Wooley

activity

20072025

most citedThe Hasse principle for pairs of diagonal cubic forms

27 citations · 27 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

Equidistribution of polynomial sequences in function fields: resolution of a conjecture

Jérémy Champagne, Zhenchao Ge, Thái Hoàng Lê +2

Let $F_{q}$ be the finite field of $q$ elements having characteristic $p$ , and denote by $K_{\infty} = F_{q} ((1/ t))$ the field of formal Laurent series in $1/ t$ . We…

math.NT2024

Well-distribution modulo one and the primes

J. Champagne, T. H. Lê, Y. -R. Liu +1

Let $(p_{n})$ denote the sequence of prime numbers, with $2 = p_{1} < p_{2} < \dots$ . We demonstrate the existence of an irrational number $α$ having the property that the sequence $(α p_{n})$ i…

math.NT2007★ 27 cited

The Hasse principle for pairs of diagonal cubic forms

J. Bruedern, T. D. Wooley

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…