Hilberts Tionde Problem och Büchisekvenser
Journal article, 2012
The paper gives an overview of Büchi's square problem in the context of Hilbert's Tenth Problem. Several construction methods of integer sequences with constant second
differences of squares are discussed and 5 new nontrivial
septuplets of this type are presented.
Büchi's conjecture
elliptic curve
rational points on surfaces.
Author
Juliusz Brzezinski
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Nordisk Matematisk Tidskrift, Normat
0801-3500 (ISSN)
Vol. 60 2 52-69Subject Categories (SSIF 2011)
Mathematics
Roots
Basic sciences
Learning and teaching
Pedagogical work