Asymmetry for the Riemann Hypothesis

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Oukil, Walid
Format:	Preprint
Publié:	2025
Sujets:	Dynamical Systems 11M06, 11M26
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

The Riemann Hypothesis is false
par: Kubalalika, Tatenda
Publié: (2020)

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function
par: Baluyot, Siegfred Alan C., et autres
Publié: (2025)

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis
par: Goldston, Daniel A., et autres
Publié: (2025)

Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions
par: Lodone, Giovanni
Publié: (2024)

On the exact location of the non-trivial zeros of Riemann's zeta function
par: de Reyna, Juan Arias, et autres
Publié: (2013)

The $θ= \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
par: Dong, Anji, et autres
Publié: (2026)

Short mollifiers of the Riemann zeta-function
par: Conrey, J. Brian, et autres
Publié: (2025)

Riemann's hypothesis via Robin's Theorem
par: Martila, Dmitri, et autres
Publié: (2024)

Integer moments of the derivatives of the Riemann zeta function
par: Hughes, Christopher, et autres
Publié: (2025)

Complex moments of the derivative of the Riemann zeta function
par: Hughes, Christopher, et autres
Publié: (2025)

Shifting the ordinates of zeros of the Riemann zeta function
par: Banks, William D.
Publié: (2024)

Explicit extreme values of the argument of the Riemann zeta-function
par: Inoue, Shōta, et autres
Publié: (2025)

Phase variation and angular momentum of the Riemann, and, Dirichlet Xi functions
par: Lodone, Giovanni
Publié: (2025)

Consecutive moderate gaps between zeros of the Riemann zeta function
par: Gonek, Steven M., et autres
Publié: (2024)

Small gaps between consecutive zeros of the Riemann zeta-function
par: Inoue, Shōta
Publié: (2026)

Density results for $r$-gaps between zeros of the Riemann zeta-function
par: Zhao, Tianyu
Publié: (2026)

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function
par: Hughes, Christopher, et autres
Publié: (2021)

Pair Correlation Conjecture for the Zeros of the Riemann Zeta-function I: Simple and Critical Zeros
par: Goldston, Daniel Alan, et autres
Publié: (2025)

An extension to the complex plane of the Riemann-Siegel Z function
par: Lodone, Giovanni
Publié: (2021)

Pair Correlation of Zeros of the Riemann Zeta Function I: Proportions of Simple Zeros and Critical Zeros
par: Baluyot, Siegfred Alan C., et autres
Publié: (2025)

An incomplete Riemann Zeta function as a fractional integral
par: Crider, Sarah M., et autres
Publié: (2024)

Almost all of the zeros of the Riemann zeta-function are on the critical line
par: Preobrazhenskaya, Tatyana, et autres
Publié: (2018)

Equivalent criteria for the Riemann hypothesis for a general class of $L$-functions
par: Garg, Meghali, et autres
Publié: (2024)

Off Critical Zeros Contradict Contraction in the Dynamical Reformulation of the Riemann Hypothesis
par: Kuipers, Hendrik Wladimir Albrecht Edwin
Publié: (2025)

Note on the $a$-points of the Riemann zeta function
par: Hang, Peng-Cheng, et autres
Publié: (2024)

An explicit log-free zero density estimate for the Riemann zeta-function
par: Bellotti, Chiara
Publié: (2024)

Improved estimates for the argument and zero-counting function of the Riemann zeta-function
par: Bellotti, Chiara, et autres
Publié: (2024)

The positivity technique and low-lying zeros of Dirichlet $L$-functions
par: Zhao, Tianyu
Publié: (2025)

Euler products of Selberg zeta functions in the critical strip
par: Kaneko, Ikuya, et autres
Publié: (2018)

On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s
par: Hilberdink, T., et autres
Publié: (2018)

A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet $L$-functions Sampled at the Zeros of the Zeta Function
par: Çiçek, Fatma, et autres
Publié: (2025)

Zeta Zeros on the Critical Line
par: Goldston, Daniel A., et autres
Publié: (2025)

An explicit form of Ingham's zero density estimate
par: Chourasiya, Shashi, et autres
Publié: (2025)

Beweis der Riemannschen Vermutung über ein reguliertes normiertes Integralmodell
par: Welz, Dennis-Magnus
Publié: (2025)

Unconditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
par: Hiary, Ghaith, et autres
Publié: (2025)

Conditional estimates on the argument of Dirichlet $L$-functions with applications to low-lying zeros
par: Zhao, Tianyu
Publié: (2025)

Zeta Zeros in a Narrow Vertical Box
par: Goldston, Daniel A., et autres
Publié: (2026)

Zero-free regions inspired by work of Heath-Brown
par: Bellotti, Chiara, et autres
Publié: (2026)

Partial Sums of the Series for the Dirichlet Eta Function, their Peculiar Convergence, the Simple Zeros Conjecture, and the RH
par: Ghislanzoni, Luca
Publié: (2009)

On the joint second moment of zeta and its logarithmic derivative
par: Fazzari, Alessandro
Publié: (2023)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"fr"
VUFIND_SESSION	"f4e98dd1ae8688d429cde6661d5d500c"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1791000763.9435 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f4e98dd1ae8688d429cde6661d5d500c" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=fr; VUFIND_SESSION=f4e98dd1ae8688d429cde6661d5d500c; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"25689"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2511_13496/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2511_13496/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1791000763.9374
REQUEST_TIME	1791000763

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler