144 citations · 741 across the 67 of their papers we have counts for
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Pairs of diagonal quartic forms: the non-singular Hasse principle
Joerg Bruedern, Trevor D. Wooley
We establish the non-singular Hasse Principle for pairs of diagonal quartic equations in or more variables.
On smooth Weyl sums over biquadrates and Waring's problem
Joerg Bruedern, Trevor D. Wooley
We provide estimates for moments of biquadratic smooth Weyl sums, when , by enhancing the second author's iterative method that delivers estimates beyon…
A paucity problem associated with a shifted integer analogue of the divisor function
Winston Heap, Anurag Sahay, Trevor D. Wooley
Suppose that is irrational. Then almost all elements that may be written as a -fold product of the shifted integers are thus…
Paucity problems and some relatives of Vinogradov's mean value theorem
Trevor D. Wooley
When and , we consider the system of Diophantine equations \[ x_1^j+\ldots +x_k^j=y_1^j+\ldots +y_k^j\quad (1\le j\le k,\, j\ne k-d). \] We show that in…
A paucity problem for certain triples of diagonal equations
Joerg Bruedern, Trevor D. Wooley
We consider certain systems of three linked simultaneous diagonal equations in ten variables with total degree exceeding five. By means of a complification argument, we obtain an a…