The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Page 1

Displaying 1 – 7 of 7

Showing per page

Gaps between zeros of the derivative of the Riemann ξ -function

Hung Manh Bui (2010)

Journal de Théorie des Nombres de Bordeaux

Assuming the Riemann hypothesis, we investigate the distribution of gaps between the zeros of ξ ( s ) . We prove that a positive proportion of gaps are less than 0 . 796 times the average spacing and, in the other direction, a positive proportion of gaps are greater than 1 . 18 times the average spacing. We also exhibit the existence of infinitely many normalized gaps smaller (larger) than 0 . 7203 ( 1 . 5 , respectively).

Currently displaying 1 – 7 of 7

Page 1