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On the Gibson bounds over finite fieldsстатья
- Авторы: Budrevich M.V., Guterman A.E.
- Журнал: Serdica Math. J
- Том: 38
- Год издания: 2012
- Первая страница: 395
- Последняя страница: 416
- Аннотация: We investigate the Pólya problem on the sign conversion between the permanent and the determinant over finite fields. The main attention is given to the sufficient conditions which guarantee non-existence of sing-conversion. In addition we show that F3 is the only field with the property that any matrix with the entries from the field is convertible. As a result we obtain that over finite fields there are no analogs of the upper Gibson barrier for the conversion and establish the lower convertibility barrier.
- Добавил в систему: Гутерман Александр Эмилевич