The Mellin transform of the square of the Riemann zeta-function in the critical strip

Abstract

In the paper, we obtain analytic continuation for the modified Mellin transform of the square of the Riemann zeta-function in the critical strip.

Keywords:

• Laplace transform
• Mellin transform
• Riemann zeta-function
• transformation formula

2000 Mathematics Subject Classification :

• 11M06
• 44A15

Acknowledgements

The author is partially supported by a grant from the Lithuanian Foundation of Studies and Science.