Asymptotics of commuting $\ell$-tuples in symmetric groups and log-concavity

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Bringmann, Kathrin, Franke, Johann, Heim, Bernhard
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Number Theory
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Asymptotics for the Enumeration of Commuting Matrices over Finite Fields
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

Bessenrodt--Ono inequalities for $\ell$-tuples of pairwise commuting permutations
di: Abdesselam, Abdelmalek, et al.
Pubblicazione: (2024)

On log-concavity of the number of orbits in commuting tuples of permutations
di: Tripathi, Raghavendra
Pubblicazione: (2024)

A bijection for tuples of commuting permutations and a log-concavity conjecture
di: Abdesselam, Abdelmalek, et al.
Pubblicazione: (2023)

On a sign-change conjecture of Schlosser and Zhou
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

Sign changes of Fourier coefficients for holomorphic eta-quotients
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

Vanishing properties of Fourier coefficients of holomorphic $η$-quotients
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations
di: Abdesselam, Abdelmalek
Pubblicazione: (2023)

Precision Asymptotics for Partitions Featuring False-Indefinite Theta Functions
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

On a mod $3$ property of $\ell $-tuples of pairwise commuting permutations
di: Abdesselam, Abdelmalek, et al.
Pubblicazione: (2024)

Strict Log-concavity of $k$-coloured Partitions
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

Ramanujan's partition generating functions modulo $\ell$
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

Periodic sign changes for weakly holomorphic $η$-quotients
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

L-series of Eisenstein series vanishing at critical values
di: Franke, Johann
Pubblicazione: (2024)

Restricted Overpartitions and concave compositions: their modularity and asymptotics
di: Banerjee, Koustav, et al.
Pubblicazione: (2026)

A generic approach to proving Turán-type inequalities for sequences that admit exact formulas, with an application to unimodal sequences
di: Banerjee, Koustav, et al.
Pubblicazione: (2025)

On the asymptotic behavior for partitions separated by parity
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

Overpartitions with parts separated by parity
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

Asymptotics of partition parts in arithmetic progressions
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

Traces of partition Eisenstein series and almost holomorphic modular forms
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

On the Asymptotic Density of $k$-tuples of Positive Integers Satisfying Arbitrary GCD Conditions
di: Kuan, Chan Ieong
Pubblicazione: (2025)

Proof of a conjecture by Starr and log-concavity for random commuting permutations
di: Abdesselam, Abdelmalek
Pubblicazione: (2025)

On the Non-vanishing of the D'Arcais Polynomials
di: Heim, Bernhard, et al.
Pubblicazione: (2025)

Comparison of component groups of $\ell$-adic and mod $\ell$ monodromy groups
di: Dai, Boyi, et al.
Pubblicazione: (2024)

Primes in tuples and Romanoff's theorem
di: Radomskii, Artyom
Pubblicazione: (2023)

Iterated integrals and cohomology
di: Bringmann, Kathrin, et al.
Pubblicazione: (2024)

Families of twists of tuples of hyperelliptic curves
di: Amir, Beyza Mevlüde, et al.
Pubblicazione: (2025)

On $\boldsymbolψ$-quadratic $k$-tuples and their generalizations
di: Dimitrov, S. I.
Pubblicazione: (2025)

Sequences with Inequalities
di: Neuhauser, Bernhard Heim und Markus
Pubblicazione: (2024)

On the Detection of Non-Roots of D'Arcais Polynomials
di: Heim, Bernhard, et al.
Pubblicazione: (2025)

On a generating function of Niebur-Poincaré series
di: Bringmann, Kathrin, et al.
Pubblicazione: (2025)

On the Proportion of Coprime Fractions in Number Fields
di: Bridges, Walter, et al.
Pubblicazione: (2023)

Bounds for moments of $\ell$-torsion in class groups
di: Koymans, Peter, et al.
Pubblicazione: (2023)

Arithmetic properties of $k$-tuple $\ell$-regular partitions
di: Nath, Hemjyoti, et al.
Pubblicazione: (2024)

Extending recent work of Nath, Saikia, and Sarma on $k$-tuple $\ell$-regular partitions
di: Paudel, Bishnu, et al.
Pubblicazione: (2025)

Congruences modulo powers of 2 and 3 for overpartition $k$-tuples
di: Keerthana, G. Kavya, et al.
Pubblicazione: (2025)

On a conjecture of Andrews and Bachraoui
di: Banerjee, Koustav, et al.
Pubblicazione: (2026)

Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
di: Banerjee, Koustav, et al.
Pubblicazione: (2026)

Hermite-Jensen limits and $d$ log-concavity of $q$-multinomials
di: Ono, Ken
Pubblicazione: (2025)

Statistics for random representations of Lie algebras
di: Bridges, Walter, et al.
Pubblicazione: (2025)

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	"it"
VUFIND_SESSION	"f10c210fd8ec5bb23b168695dd64cef6"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790894868.7398 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f10c210fd8ec5bb23b168695dd64cef6" ]`]
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=it; VUFIND_SESSION=f10c210fd8ec5bb23b168695dd64cef6; 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	"20042"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2401_05874/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2401_05874/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790894868.7303
REQUEST_TIME	1790894868

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler