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math.NT2021
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…
math.NT2021
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…