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Exponential diophantine equations over a field of positive characteristic and Taylor series of algebraic functionsтезисы доклада
- Автор: Kanel-Belov A.J.
- Сборник: Mathematics Colloquium. Bar-Ilan University, Sunday, 29 December 2002 12:00 pm
- Тезисы
- Год издания: 2002
- Место издания: BIU
- Первая страница: .
- Аннотация: Dr. A. J. Kanel-Belov International University of Bremen Exponential diophantine equations over a field of positive characteristic and Taylor series of algebraic functions Sunday, 29 December 2002 12:00 pm (Light refreshments served at 11:45 am) Abstract: Consider a system of exponential algebraic equations in s variables n_1,...,n_s (appearing as exponents) with polynomial coefficients. According to a result of J. Robinson, algorithmic questions concerning the existence of solutions of such systems are unsolvable. However, if the each base of the exponents belongs to a field of characteristic p>0, then there exists an algorithm describing all solutions of such systems in terms of p-adic presentations of the unknowns. Similar results involve Taylor series of algebraic functions. This subject seems to be closely related to the Weil conjecture proved by P. Deligne.
- Добавил в систему: Белов Алексей Яковлевич