2 papers
math.NT2025
Characterization of norm and quasi-norm forms in S-adic setting
George Tomanov
The goal of the present paper is to characterize the norm and quasi-norm forms defined over an arbitrary number field F in terms of their values at the S-integer points, where S is…
math.NT2024
Characterization of norm forms via their values at integer points
George Tomanov
Using homogeneous dynamical approach, we obtain a complete description of the forms with discrete set of values at the integer points and not representing zero non-trivially over t…