J. Brandes

activity

20122026

most citedForms representing forms and linear spaces on hypersurfaces

18 citations · 42 across the 19 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NT2017

On the number of linear spaces on hypersurfaces with a prescribed discriminant

Julia Brandes

For a given form $F \in Z [x_{1}, \dots, x_{s}]$ we apply the circle method in order to give an asymptotic estimate of the number of $m$ -tuples $x_{1}, \dots, x_{m}$ sp…

math.NT2017

Vinogradov systems with a slice off

Julia Brandes, Trevor D. Wooley

Let $I_{s, k, r} (X)$ denote the number of integral solutions of the modified Vinogradov system of equations $$x_1^j+\ldots +x_s^j=y_1^j+\ldots +y_s^j\quad (\text{ $1 \leq j \leq k$ , $j\ne…