possible problem with Lehmer pairs for the Riemann zeta function values
American Citizen <[email protected]> Thu, 23 Oct 2025 20:54:04 -0700
| Newsgroups | gmane.comp.mathematics.pari.user |
|---|---|
| Message-ID | <[email protected]> |
To all: I was able to successfully set up Newton's method using complex variables and the zeta function so I could find the best s value for a particular given s value for a Riemann zeta function zero. In examining a particular Lehmer pair, the GP Pari calculated values do NOT match the given values > REF: https://www.lmfdb.org/zeros/zeta/?limit=4&N=1048449113 > > Zero number Imaginary part > 1048449113 388858885.3843374064120148806916184198555 > 388858885.384337406412014880691618419855483458064719603521 (GP Pari) > > 1048449114 388858886.0022851217767970582610330824021 > 388858886.00228512177679705826103308240191063541672620941057947257917735912535 > (GP Pari) > > 1048449115 388858886.0023936897027167200756700895163 > 388858886.00239368970271672007567008951620254379779536791564845546850341328689 > (GP Pari) > > 1048449116 388858886.6907450529570780149380015280575 > 388858886.690745052957078014938001528057403962286595277234 (GP Pari) I believe that this is a significant departure, at least for zero number 1048448114, from the given values from the LMFDB website. I ask for comments on this. Thank you - Randall