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On the value distribution of two Dirichlet L-functions over sums of two zeros of the Riemann zeta-function |
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| รหัสดีโอไอ | |
| Creator | Teerapat Srichan |
| Title | On the value distribution of two Dirichlet L-functions over sums of two zeros of the Riemann zeta-function |
| Contributor | Nattiwut Maugmai |
| Publisher | คณะวิทยาศาสตร์และเทคโนโลยี มหาวิทยาลัยเทคโนโลยีราชมงคลธัญบุรี |
| Publication Year | 2563 |
| Journal Title | วารสารวิทยาศาสตร์และเทคโนโลยี มทร.ธัญบุรี |
| Journal Vol. | 10 |
| Journal No. | 1 |
| Page no. | 136-147 |
| Keyword | Dirichlet L-function, Riemann zeta-function, non-trivial zero |
| URL Website | http://www.sci.rmutt.ac.th/stj |
| Website title | Science and Technology RMUTT Journal |
| ISSN | 2229-1547 |
| Abstract | Let ?=?+i? and ?^'=?^'+i?^'denote the non-trivial zeros of the Riemann zeta-function ?(s), with ?,?^'>0 and ??(1/2,1). Under the assumption of the Riemann Hypothesis, we show that for a positive proportion of 1/2+i(?+?^'), the values of the Dirichlet L-function L(?+i(?+?^'),?_1) and L(?+i(?+?^'),?_2) associated with the primitive characters ?_1 and ?_2 to different prime moduli are linearly independent over R. |
