Open AccessSums of squares in function fields of hyperelliptic curves
Author(s) -
Karim Johannès Becher,
Jan Van Geel
Publication year - 2008
Publication title -
mathematische zeitschrift
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.38
H-Index - 66
eISSN - 1432-1823
pISSN - 0025-5874
DOI - 10.1007/s00209-008-0353-2
Subject(s) - mathematics , function field , field (mathematics) , quadratic equation , quadratic field , function (biology) , pure mathematics , rational function , extension (predicate logic) , base (topology) , quadratic function , mathematical analysis , geometry , programming language , evolutionary biology , computer science , biology
We study sums of squares, quadratic forms, and related field invariants in a quadratic extension of the rational function field in one variable over a hereditarily pythagorean base field
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