26698

Автор(ы): 

Багдасарян А. Г. (ИПУ РАН, Лаборатория 56) НЕАКТУАЛЬНАЯ ЗАПИСЬ

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Тезисы доклада

Название: 

Analogues of Newton-Girard formulas for entire and meromorphic functions with applications to the Riemann zeta function

Наименование конференции: 

  • International conference "Complex Analysis and Related Topics" (Lviv, 2013)

Наименование источника: 

  • Proceedings of the International conference "Complex Analysis and Related Topics" (Lviv, 2013)

Город: 

  • Львов

Издательство: 

  • Ivan Franko National University of L'viv

Год издания: 

2013

Страницы: 

5
Аннотация
The analogues of Newton-Girard formulas for entire and meromorphic functions are obtained. We derive the recurrence formulas for the Riemann zeta function at integer arguments and consecutively deduce the values of the zeta function at even arguments. We also directly evaluate the sums of reciprocal like powers of the non-trivial zeros of the Riemann zeta function.

Библиографическая ссылка: 

Багдасарян А.Г. Analogues of Newton-Girard formulas for entire and meromorphic functions with applications to the Riemann zeta function / Proceedings of the International conference "Complex Analysis and Related Topics" (Lviv, 2013). Львов: Ivan Franko National University of L'viv, 2013. С. 5.