A version of Carleman’s formula summation of the Riemann ζ -function on the critical line
A version of Carleman's formula for functions holomorphic in a rectangle is proved. It is applied to the evaluation of the integral of ζ -function logarithm with the summing factor exp(−t) along the critical line. This allowed to obtain a new statement equivalent to the Riemann hypothesis.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2011-03-01
|
| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2011/35_1/3-8.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|