Roel Stroeker
Erasmus University Rotterdam
6 Papers
52 Citations
Roel Stroeker is an academic researcher from Erasmus University Rotterdam. The author has contributed to research in topics: Rank (linear algebra) & Supersingular elliptic curve. The author has an hindex of 5, co-authored 6 publications.
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Papers
On the equation y(2)=(x+p)(x(2)+p(2))
Roel Stroeker,Janetta Top +1 more
TL;DR: In this paper, the rank of the Shafarevich group of the elliptic curve arc is shown to be bounded by 3 in general for prime numbers p = 1 mod 16.
On Sums of Consecutive Squares
TL;DR: In this article, the authors consider the problem of characterizing those perfect squares that can be expressed as the sum of consecutive squares where the initial term in thus sum is k 2, and give some heuristics to back this up.
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On $\Q$-Derived Polynomials
TL;DR: In this article, it was shown that -derived polynomials of degree 4 with distinct roots for themselves and all their derivatives do not exist, and they are not aware of a deeper reason for their non-existence.
Brocard Points, Circulant Matrices, and Descartes' Folium
TL;DR: The Brocard points as mentioned in this paper are a special points associated with the triangle, and the Brocard angle of a plane triangle can be seen as a special point in the triangle geometry.
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•Posted Content
On Sums of Consecutive Squares
Alexandra Bremner,Roel Stroeker,Nikos Tzanakis +2 more
- 01 Jan 1995
TL;DR: In this article, the problem of finding all integral points on elliptic curves belonging to a certain family can be represented by a Weierstrass equation with parameter k, and for those of rank 1 a most likely candidate generator of infinite order can be explicitly given in terms of k. The authors conjecture that this point indeed generates the free part of the Mordell-Weil group and give some heuristics to back this up.