Tamar Ziegler

collaborators

3 papers

math.NT2025

Polynomial Bounds for Birch's Theorem

Amichai Lampert, Andrew Snowden, Tamar Ziegler

Let $K$ be a number field and $f_{1}, \dots, f_{s} \in K [x_{1}, \dots, x_{n}]$ forms of odd degrees. In 1957, Birch proved that if $n$ is sufficiently large then the forms always have a nontr…

math.AG2025

Strength and partition rank under limits and field extensions

Arthur Bik, Jan Draisma, Amichai Lampert +1

The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower-degree homogeneous polynomials. Partition rank i…

math.CO2024

A Dense Model Theorem for the Boolean Slice

Gil Kalai, Noam Lifshitz, Dor Minzer +1

The (low soundness) linearity testing problem for the middle slice of the Boolean cube is as follows. Let $ε > 0$ and $f$ be a function on the middle slice on the Boolean c…