:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Bober, Jonathan W., Klurman, Oleksiy, Shala, Besfort
Format:	Preprint
Published:	2025
Subjects:	Number Theory Classical Analysis and ODEs Complex Variables Probability 11C08, 11L40, 11R06, 26D10, 42A05, 60G50
Online Access:	https://arxiv.org/abs/2510.06161
Tags:	Add Tag No Tags, Be the first to tag this record!

Mahler's problem and Turyn polynomials
by: Mossinghoff, Michael J.
Published: (2024)

Large values of shifted mixed character sums
by: Tardy, Néo
Published: (2026)

Integer-valued polynomials satisfying growth constraints
by: Kiro, Avner, et al.
Published: (2025)

Brenke polynomials with real zeros and the Riemann Hypothesis
by: Durán, Antonio J.
Published: (2024)

Asymptotic $ψ$-densities of subsets of natural numbers
by: Heittokangas, Janne, et al.
Published: (2024)

A New Representation of the Riemann Zeta Function $ζ(s)$
by: Woon, S. C.
Published: (1998)

A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
by: Yang, Zhejun
Published: (2025)

Large fluctuations of sums of a random multiplicative function
by: Shala, Besfort
Published: (2026)

On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
by: Powers, Michael R.
Published: (2025)

On the Algebraic Independence of a Set of Generalized Constants
by: Powers, Michael R.
Published: (2025)

The number of real zeros of polynomials with constrained coefficients
by: Erdélyi, Tamás
Published: (2024)

Zero-free regions of the Riemann zeta function and approximation in weighted Dirichlet spaces
by: Gallardo-Gutiérrez, Eva, et al.
Published: (2022)

On Littlewood's estimate for the modulus of the zeta function on the critical line
by: Carneiro, Emanuel, et al.
Published: (2024)

An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials
by: Bedert, Benjamin
Published: (2024)

Sign changes of short character sums and real zeros of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2024)

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

Irreducibility of polynomials with random multiplicative coefficients revisited
by: Klurman, Oleksiy, et al.
Published: (2025)

Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
by: Carneiro, Emanuel, et al.
Published: (2024)

Fourier optimization and consequences of the generalized Riemann hypothesis
by: Quesada-Herrera, Emily
Published: (2024)

Limit law for root separation in random polynomials
by: Michelen, Marcus, et al.
Published: (2025)

Random walks through the areal Mahler measure: steps in the complex plane
by: Lalín, Matilde N., et al.
Published: (2025)

On a density problem related to a theorem of Szegő
by: Paulsen, Chiara
Published: (2025)

Matrix approach to hypercomplex Appell polynomials
by: Aceto, Lidia, et al.
Published: (2016)

Moment generating functions and moderate deviation principles for lacunary trigonometric sums
by: Aistleitner, Christoph, et al.
Published: (2025)

Fourier transform inequalities, lattice point discrepancy, asymptotic behavior, oscillatory integrals
by: Lind, Martin
Published: (2022)

Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities
by: Charge, Shashank, et al.
Published: (2024)

A remark on the existence of equivariant functions
by: Sugiyama, Shingo
Published: (2022)

Zero Distribution of Polynomials Generated by a Power of a Cubic Polynomial
by: Steele, Travis, et al.
Published: (2025)

A conjecture for arithmetic spherical maximal functions
by: Hughes, Kevin
Published: (2026)

Approximations by special values of multiple cosine and sine functions
by: Hu, Su, et al.
Published: (2025)

A discrete Hardy uncertainty principle
by: Lysen, Torgeir Keun
Published: (2026)

Fourier optimization and pair correlation problems
by: Das, Mithun Kumar, et al.
Published: (2025)

Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$
by: Chen, Xi, et al.
Published: (2025)

Bounds for spectral projectors on the three-dimensional torus
by: Germain, Pierre, et al.
Published: (2025)

Sharp Spectral Projection Estimates for the Torus at $p_c=\frac{2(n+1)}{n-1}$
by: Pezzi, Daniel
Published: (2024)

Entire functions with an arithmetic sequence of exponents
by: Ruth, Dallas, et al.
Published: (2024)

Borel lemma: geometric progression and zeta-functions
by: Han, Qi, et al.
Published: (2024)

On the supremum of a quotient of power sums
by: Gerhold, Stefan, et al.
Published: (2025)

Pointwise convergence of the non-linear Fourier transform
by: Poltoratski, Alexei
Published: (2021)

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	"en"
VUFIND_SESSION	"cfdd043e73b0356726a6b39d2f435898"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784690714.4851 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "cfdd043e73b0356726a6b39d2f435898" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=en; VUFIND_SESSION=cfdd043e73b0356726a6b39d2f435898; 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	"216.73.216.85"
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	"16379"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_06161/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_06161/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784690714.4807
REQUEST_TIME	1784690714

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
VUFIND_SESSION	"cfdd043e73b0356726a6b39d2f435898"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784690714.4851 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "cfdd043e73b0356726a6b39d2f435898" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

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=en; VUFIND_SESSION=cfdd043e73b0356726a6b39d2f435898; 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	"216.73.216.85"
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	"16379"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2510_06161/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2510_06161/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784690714.4807
REQUEST_TIME	1784690714

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: