J. Bruedern

activity

20122024

most citedAn instance where the major and minor arc integrals meet

7 citations · 11 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.NT2022

Pairs of diagonal quartic forms: the asymptotic formulae

Joerg Bruedern, Trevor D. Wooley

We establish an asymptotic formula for the number of integral solutions of bounded height for pairs of diagonal quartic equations in $26$ or more variables. In certain cases, pairs…

math.NT2022

Partitio Numerorum: sums of a prime and a number of $k$ -th powers

Joerg Bruedern, Trevor D. Wooley

Let $k$ be a natural number and let $c = 2.134693 \dots$ be the unique real solution of the equation $2 c = 2 + lo g (5 c - 1)$ in $[1, \infty)$ . Then, when $s \geq c k + 4$ , we establish an asymp…

math.NT2022

On Waring's problem for larger powers

Joerg Bruedern, Trevor D. Wooley

Let $G (k)$ denote the least number $s$ having the property that every sufficiently large natural number is the sum of at most $s$ positive integral $k$ -th powers. Then for all $k\i…

Pairs of diagonal quartic forms: the asymptotic formulae

Partitio Numerorum: sums of a prime and a number of k-th powers

On Waring's problem for larger powers

Partitio Numerorum: sums of a prime and a number of $k$ -th powers