Christoph Spiegel

activity

20122023

most citedThreshold functions and Poisson convergence for systems of equations in random sets

7 citations · 26 across the 14 of their papers we have counts for

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2 papers · 1 filter

math.NT2019★ 3 cited

An Erdős--Fuchs Theorem for Ordered Representation Functions

Gonzalo Cao-Labora, Juanjo Rué, Christoph Spiegel

Let $k \geq 2$ be a positive integer. We study concentration results for the ordered representation functions $r^{\leq}_k(A,n) = \# \big\{ (a_1 \leq \dots \leq a_k) \in A^k : a_1+\d…

math.NT2018★ 1 cited

Additive Volume of Sets Contained in Few Arithmetic Progressions

Gregory A. Freiman, Oriol Serra, Christoph Spiegel

A conjecture of Freiman gives an exact formula for the largest volume of a finite set $A$ of integers with given cardinality $k = ∣ A ∣$ and doubling $T = ∣2 A ∣$ . The formula is known…