Imagen de Portada

Weakening the Legendre Conjecture

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Chamberland, Marc, Straub, Armin
Formato:	Preprint
Publicado:	2026
Materias:	Number Theory
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Formulas for odd zeta values and powers of $π$
por: Chamberland, Marc, et al.
Publicado: (2024)

Sums of the floor function related to class numbers of imaginary quadratic fields
por: Chamberland, Marc, et al.
Publicado: (2025)

Partial Lucas-type congruences
por: Straub, Armin
Publicado: (2025)

Criteria for the integrality of $n$th roots of power series
por: Pomerat, John, et al.
Publicado: (2024)

An alternating sum of the floor function of square roots
por: Chamberland, Marc, et al.
Publicado: (2025)

The limiting distribution of Legendre paths
por: Hussain, Ayesha, et al.
Publicado: (2023)

Dirichlet Series and Asymptotics for Generalized Legendre Factorials
por: Diaz, Brian, et al.
Publicado: (2026)

On the $p$-adic valuations of values of Legendre polynomials
por: Alekseyev, Max A., et al.
Publicado: (2025)

Iterated integrals on the Legendre family of elliptic curves
por: Otsuka, Eisuke
Publicado: (2025)

Legendre symbols related to $D_p(b,1)$
por: Luo, Xin-Qi, et al.
Publicado: (2024)

A Structural Proof of Legendre's Conjecture via Bijective Symmetric Reflection
por: Nwaorisa, Chinasa Princewill
Publicado: (2026)

Some notes on the pseudorandomness of Legendre symbol and Liouville function
por: Grünberger, Johannes, et al.
Publicado: (2024)

Two determinant evaluations in Sun's conjectures involving Legendre symbols
por: Yang, Yaoran, et al.
Publicado: (2026)

On the pseudorandom properties of filtered Legendre symbol sequences using three polynomials
por: Gyarmati, Katalin, et al.
Publicado: (2026)

Large sieve inequality for sums of Legendre symbols over short intervals
por: Shparlinski, Igor, et al.
Publicado: (2026)

On generalized Legendre matrices involving roots of unity over finite fields
por: Wei, Ning-Liu, et al.
Publicado: (2023)

Elliptic curves over $\mathbb{F}_p$ and determinants of Legendre matrices
por: Wu, Hai-Liang
Publicado: (2020)

On certain determinants and the square root of some determinants involving Legendre Symbols
por: Ren, Chen-kai, et al.
Publicado: (2024)

Partitions with Durfee triangles of fixed size
por: Sharan, N. Guru, et al.
Publicado: (2025)

Positivity of partial sums of a random multiplicative function and corresponding problems for the Legendre symbol
por: Kucheriaviy, Petr
Publicado: (2025)

Cryptanalysis of the Legendre Pseudorandom Function over Extension Fields
por: Pandey, Daksh
Publicado: (2026)

The Unbounded Denominators Conjecture
por: Calegari, Frank, et al.
Publicado: (2021)

Twisted Malle's Conjecture
por: Choudhary, Tanav
Publicado: (2025)

Legendre compressions and an integrality conjecture for the Hörmander--Bernhardsson extremal function
por: Nguyen-Dang, Khai-Hoan
Publicado: (2026)

A century problem related to the Legendre symbol modulo p
por: Zhang, Wenpeng
Publicado: (2025)

The Geometric Unitary Kudla Conjecture
por: Raum, Martin
Publicado: (2026)

The Local Companion Points Conjecture
por: Qian, Lie
Publicado: (2025)

Kitaoka's Conjecture and sums of squares
por: Kala, Vitezslav, et al.
Publicado: (2025)

On a Fiber Conjecture of Wan
por: Schmidt, Matthew
Publicado: (2023)

An Unexpected Connection Between the Discrete Zeta Function and the Erdos-Straus Conjecture Under Mballa's Conjecture
por: Mballa, Philemon Urbain
Publicado: (2025)

Romik's Conjecture for the Jacobi Theta Function
por: Wakhare, Tanay
Publicado: (2019)

Siegel Zeros and the Hardy-Littlewood Conjecture
por: Wang, Yunan
Publicado: (2024)

Counterexamples for Türkelli's Modification on Malle's Conjecture
por: Wang, Jiuya
Publicado: (2025)

On a Conjecture of Yui and Zagier II
por: Li, Yingkun, et al.
Publicado: (2025)

An Analogue of Greenberg's Conjecture for CM Fields
por: Peikai, Qi, et al.
Publicado: (2024)

Proofs of some Conjectures from the OEIS
por: Fried, Sela
Publicado: (2024)

Legendre-signed partition numbers
por: Daniels, Taylor
Publicado: (2024)

Fourier Dimension in Inhomogeneous Duffin--Schaeffer Conjecture
por: Tan, Bo, et al.
Publicado: (2026)

Conjectures About Cyclic Numbers: Resolutions and Counterexamples
por: Le, Duc Hieu
Publicado: (2025)

An algorithm and computation to verify Legendre's Conjecture up to $3.33\cdot10^{13}$
por: Sorenson, Jonathan, et al.
Publicado: (2024)