Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Benjamin Matschke"'
Autor:
Rafael von Känel, Benjamin Matschke
Publikováno v:
Memoirs of the American Mathematical Society. 286
In the first part we construct algorithms (over Q \mathbb {Q} ) which we apply to solve S S -unit, Mordell, cubic Thue, cubic Thue–Mahler and generalized Ramanujan–Nagell equations. As a byproduct we obtain alternative practical approaches for va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::945801d1c98d22b23671aa4efc3c8d30
https://doi.org/10.1090/memo/1419
https://doi.org/10.1090/memo/1419
Quadratic Fields Admitting Elliptic Curves with Rational $j$-Invariant and Good Reduction Everywhere
Clemm and Trebat-Leder (2014) proved that the number of quadratic number fields with absolute discriminant bounded by $x$ over which there exist elliptic curves with good reduction everywhere and rational $j$-invariant is $\gg x\log^{-1/2}(x)$. In th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15171b8520990f22de759a51cd54bf9e
http://arxiv.org/abs/2103.09814
http://arxiv.org/abs/2103.09814
Autor:
Alex J. Best, Benjamin Matschke
Publikováno v:
Arithmetic Geometry, Number Theory, and Computation ISBN: 9783030809133
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8bdc103c32e52d0dccf182184c9b181
https://doi.org/10.1007/978-3-030-80914-0_5
https://doi.org/10.1007/978-3-030-80914-0_5
Publikováno v:
Algebra and number theory
We describe an algorithm for computing integral points on the modular curve of prime level p associated to the normalizer of a non-split Cartan subgroup of GL_2(F_p). Using our method, we show that for 7
Comment: To appear in Algebra and Number
Comment: To appear in Algebra and Number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::641f5ddc1a636ded55f9e43605e7be54
https://hdl.handle.net/21.11116/0000-0008-B611-721.11116/0000-000A-EC9D-C
https://hdl.handle.net/21.11116/0000-0008-B611-721.11116/0000-000A-EC9D-C
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $
Externí odkaz:
https://doaj.org/article/a365668d622e488dadc5c497565191c5
Autor:
Benjamin Matschke
We classify the set of quadrilaterals that can be inscribed in convex Jordan curves, in the continuous as well as in the smooth case. This answers a question of Makeev in the special case of convex curves. The difficulty of this problem comes from th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8147ae50f409889e739f59920b26b1fa
http://arxiv.org/abs/1801.01945
http://arxiv.org/abs/1801.01945
Autor:
Benjamin Matschke, Roman Karasev
Publikováno v:
Discrete & Computational Geometry
We present projective versions of the center point theorem and Tverberg's theorem, interpolating between the original and the so-called "dual" center point and Tverberg theorems. Furthermore we give a common generalization of these and many other kno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acf85ba3c9e46f2f4553001e888663b9
https://doi.org/10.1007/s00454-014-9602-9
https://doi.org/10.1007/s00454-014-9602-9
Autor:
Benjamin Matschke
Publikováno v:
Benjamin Matschke
In this paper, we develop a structure theory for generalized spectral sequences, which are derived from chain complexes that are filtered over arbitrary partially ordered sets. Also, a more general construction method reminiscent of exact couples is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::993d6bbcef28255f75883e67c648784d
Autor:
Benjamin Matschke
Publikováno v:
Benjamin Matschke
A triple of positive integers (d,h,m) is admissible if for any m given masses in R^d there exist h hyperplanes that cut each of these masses into 2^h equal pieces. We present an elementary reduction which combined with results by Ramos (1996) yields
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7f8fcbf52307e0f83c72d10373d51b3
http://arxiv.org/abs/1001.0193
http://arxiv.org/abs/1001.0193