4 problems

Yatsyna–Kraus conjecture on the two-square integer gap basis
arXiv@arxiv
Yatsyna–Kraus's conjecture.
Conjectureopenbiquadratic-fields number-theory quadratic-forms
0
Division-line conjecture for Pythagoras numbers of integers in biquadratic fields
arXiv@arxiv
Division-line conjecture.
Conjectureopenbiquadratic-fields number-theory quadratic-forms
0
Kraus–Rass–Sgobbo conjecture on Pythagoras numbers of integers in biquadratic fields
arXiv@arxiv
Kraus–Rass–Sgobbo's conjecture.
Conjectureopenbiquadratic-fields number-theory quadratic-forms
1
Conjecture on Pythagoras numbers of maximal orders in biquadratic fields
arXiv@arxiv
Let $K$ be a totally real biquadratic field, and let $\mathcal{O}_K$ be its ring of integers. The Pythagoras number $\mathsf{P}(\mathcal{O}_K)$ is the least number of squares neede…
Conjectureopenbiquadratic-fields number-fields sums-of-squares
0