STNB2026 (39th edition)
Additively indecomposable quadratic forms over totally real number fields
Ponentes
Magdaléna Tinková
Resumen
Additively indecomposable quadratic forms with integer coefficients were studied, for example, by Mordell (1930, 1937) and Erdős and Ko (1938, 1939). However, we know much less about them if their coefficients belong to the ring of algebraic integers of a totally real number field. Some of our new results are general, but one part is restricted to the case of binary quadratic forms over real quadratic fields. For them, we provide some bounds on the number of such additively indecomposable quadratic forms, show that their number is rather large for almost all quadratic fields, or give their whole structure for several examples of these fields. We also show a relation between them and the problem of n-universal quadratic forms. This is joint work with Pavlo Yatsyna.
Ficheros
No hay ficheros disponibles para descargar
