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20162023
most citedThe dimension growth conjecture, polynomial in the degree and without logarithmic factors

19 citations · 44 across the 11 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 12 cited

Igusa's conjecture for exponential sums: optimal estimates for non-rational singularities

Raf Cluckers, Mircea Mustaţǎ, Kien Huu Nguyen

We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa's conjecture…

math.NT2018

New bounds for exponential sums with a non-degenerate phase polynomial

Wouter Castryck, Kien Huu Nguyen

We prove a recent conjecture due to Cluckers and Veys on exponential sums modulo for in the special case where the phase polynomial is sufficiently non-degener…