Hilberts Tionde Problem och Büchisekvenser : Hilbert's Tenth Problem and Büchi's Sequences

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Büchi's conjecture

elliptic curve

rational points on surfaces.

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