M. Zaninelli

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20192023

most citedSums of squares in function fields over a henselian valued field

1 citations · 2 across the 3 of their papers we have counts for

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math.NT2023★ 1 cited

Sums of squares in function fields over a henselian valued field

Karim Johannes Becher, Nicolas Daans, David Grimm +2

The Pythagoras number of a field is the smallest natural number $n$ such that every sum of squares in the field is a sum of $n$ squares. Given a nondyadic henselian valued field $(…

math.NT2022

Bounding the Pythagoras number of a field by $2^{n} + 1$

Karim Johannes Becher, Marco Zaninelli

Given a positive integer $n$ , a sufficient condition on a field is given for bounding its Pythagoras number by $2^{n} + 1$ . The condition is satisfied for $n = 1$ by function fields of c…

Sums of squares in function fields over a henselian valued field

Bounding the Pythagoras number of a field by 2n+1

Bounding the Pythagoras number of a field by $2^{n} + 1$