18 citations · 42 across the 19 of their papers we have counts for
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math.NT2012★ 7 cited
A note on p-adic solubility for forms in many variables
Julia Brandes
By adopting a new approach to the analysis of the density of p-adic solutions arising in applications of the circle method, we show that under modest conditions the existence of no…
math.NT2012★ 18 cited
Forms representing forms and linear spaces on hypersurfaces
Julia Brandes
A generalisation of Waring's problem, considered first by Arkhipov and Karatsuba, is the question of representing not an integer, but a given polynomial, as a sum of powers of line…