On the Pythagoras number of function fields of curves over number fields

被引：0

作者：

Pop, Florian ^{[1
]}

机构：

[1] Univ Penn, Dept Math, DRL, 209 S 33rd St, Philadelphia, PA 19104 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2023年 / 257卷 / 02期

关键词：

HASSE PRINCIPLE; SQUARES; SUMS;

D O I：

10.1007/s11856-023-2548-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Pythagoras number p(K) of the function field K of an integral curve over a number field satisfies p(K) <= 6. That is, every sum of squares in K is representable as a sum of at most six squares in K.

引用

页码：561 / 574

页数：14

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