Proof of the Lehmer conjecture on Ramanujan's $τ$ function
Fuente:
arXiv
Saved in:
| Main Authors: | Shi, Minjia, Wang, Lu, Solé, Patrick |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Experimental investigations on Lehmer's conjecture for elliptic curves
by: Cats, Sven, et al.
Published: (2025)
by: Cats, Sven, et al.
Published: (2025)
Nombres de Pisot, nombres de Salem et la conjecture de Lehmer
by: Amara, Mohamed
Published: (2025)
by: Amara, Mohamed
Published: (2025)
A Proof of Ramanujan's Classic $π$ Formula
by: Ern, Thang Pang, et al.
Published: (2024)
by: Ern, Thang Pang, et al.
Published: (2024)
Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
by: Gyarmati, Katalin
Published: (2026)
by: Gyarmati, Katalin
Published: (2026)
Lehmer pairs and binomial series
by: Kirill, Kapitonets
Published: (2025)
by: Kirill, Kapitonets
Published: (2025)
Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
by: Charan, Mrityunjoy, et al.
Published: (2025)
by: Charan, Mrityunjoy, et al.
Published: (2025)
On the Lucas and Lehmer sequences in Dedekind domains
by: Li, Xiumei, et al.
Published: (2020)
by: Li, Xiumei, et al.
Published: (2020)
Triple product $L$-functions and the Ramanujan conjecture
by: Getz, Jayce R., et al.
Published: (2025)
by: Getz, Jayce R., et al.
Published: (2025)
Analogue of Ramanujan's function $k(τ)$ for the continued fraction $X(τ)$ of order six
by: Guadalupe, Russelle, et al.
Published: (2023)
by: Guadalupe, Russelle, et al.
Published: (2023)
New proofs of two identities of Ramanujan
by: Morton, Patrick
Published: (2023)
by: Morton, Patrick
Published: (2023)
A p-adic criterion for Lehmer's conjecture
by: Dixit, Anup B., et al.
Published: (2025)
by: Dixit, Anup B., et al.
Published: (2025)
On Ramanujan's cubic continued fraction
by: Akkarapakam, Sushmanth J., et al.
Published: (2023)
by: Akkarapakam, Sushmanth J., et al.
Published: (2023)
Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function
by: Jin, Jing, et al.
Published: (2025)
by: Jin, Jing, et al.
Published: (2025)
Congruence properties of Lehmer-Euler numbers
by: Komatsu, Takao, et al.
Published: (2025)
by: Komatsu, Takao, et al.
Published: (2025)
Prime values of Ramanujan's tau function
by: Xiong, Boyuan
Published: (2023)
by: Xiong, Boyuan
Published: (2023)
The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials
by: Guillera, Jesús
Published: (2019)
by: Guillera, Jesús
Published: (2019)
A unified scheme of approach to the Ramanujan conjecture
by: Unterberger, Andre
Published: (2020)
by: Unterberger, Andre
Published: (2020)
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
by: Rosengren, Hjalmar
Published: (2022)
by: Rosengren, Hjalmar
Published: (2022)
The Ramanujan-Petersson and Selberg conjectures for Maass forms
by: Unterberger, Andr'e
Published: (2020)
by: Unterberger, Andr'e
Published: (2020)
Proof of the Andrews-El Bachraoui positivity conjecture
by: Chern, Shane, et al.
Published: (2026)
by: Chern, Shane, et al.
Published: (2026)
Transcendental formulas for the coefficients of Ramanujan's mock theta functions
by: Andersen, Nickolas, et al.
Published: (2025)
by: Andersen, Nickolas, et al.
Published: (2025)
Sums of two squares and the tau-function: Ramanujan's trail
by: Berndt, Bruce C., et al.
Published: (2024)
by: Berndt, Bruce C., et al.
Published: (2024)
New evidence for Rémond's generalisation of Lehmer's conjecture
by: Checcoli, Sara, et al.
Published: (2025)
by: Checcoli, Sara, et al.
Published: (2025)
Ramanujan's function on small primes
by: Brent, Barry
Published: (2025)
by: Brent, Barry
Published: (2025)
Proofs of two conjectures on congruences of overcubic partition triples
by: Chen, Jiayu, et al.
Published: (2025)
by: Chen, Jiayu, et al.
Published: (2025)
On some values which do not belong to the image of Ramanujan's tau-function
by: Goto, Akihiro
Published: (2024)
by: Goto, Akihiro
Published: (2024)
Discussion on some conjectures regarding the periodicity of sign patterns of certain infinite products involving the Rogers-Ramanujan Continued Fractions
by: Ghoshal, Suparno, et al.
Published: (2025)
by: Ghoshal, Suparno, et al.
Published: (2025)
Proofs of Lupu's conjectures for multiple zeta values and multiple $t$-values
by: Lei, Wenzhong, et al.
Published: (2026)
by: Lei, Wenzhong, et al.
Published: (2026)
The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups III: Proof of the main theorems
by: Boisseau, Paul, et al.
Published: (2026)
by: Boisseau, Paul, et al.
Published: (2026)
Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
by: Sun, Junjie, et al.
Published: (2026)
by: Sun, Junjie, et al.
Published: (2026)
The second moment of Ramanujan sums
by: Ziwei, Hong, et al.
Published: (2025)
by: Ziwei, Hong, et al.
Published: (2025)
Second order Recurrences, quadratic number fields and cyclic codes
by: Shi, Minjia, et al.
Published: (2026)
by: Shi, Minjia, et al.
Published: (2026)
A trigonometric approach to an identity by Ramanujan
by: Vignat, C.
Published: (2026)
by: Vignat, C.
Published: (2026)
Reciprocal Hyperbolic Series of Ramanujan Type
by: Xu, Ce, et al.
Published: (2018)
by: Xu, Ce, et al.
Published: (2018)
On Ramanujan smooth expansions for a general arithmetic function
by: Coppola, Giovanni
Published: (2024)
by: Coppola, Giovanni
Published: (2024)
Short proofs of Ramanujan-like identities for the eighth order mock theta function $V_{0}(q)$
by: Mortenson, Eric T.
Published: (2023)
by: Mortenson, Eric T.
Published: (2023)
Lines in the prime number graph
by: Pomerance, Carl, et al.
Published: (2026)
by: Pomerance, Carl, et al.
Published: (2026)
On Ramanujan Primes for Hecke-Maass Cusp Forms
by: Huang, Tinghao, et al.
Published: (2026)
by: Huang, Tinghao, et al.
Published: (2026)
Supercongruences arising from Ramanujan-Sato Series
by: Babei, Angelica, et al.
Published: (2024)
by: Babei, Angelica, et al.
Published: (2024)
On certain extensions of Ramanujan's Master Theorem and their applications
by: Atale, Omprakash, et al.
Published: (2021)
by: Atale, Omprakash, et al.
Published: (2021)
Similar Items
-
Experimental investigations on Lehmer's conjecture for elliptic curves
by: Cats, Sven, et al.
Published: (2025) -
Nombres de Pisot, nombres de Salem et la conjecture de Lehmer
by: Amara, Mohamed
Published: (2025) -
A Proof of Ramanujan's Classic $π$ Formula
by: Ern, Thang Pang, et al.
Published: (2024) -
Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
by: Gyarmati, Katalin
Published: (2026) -
Lehmer pairs and binomial series
by: Kirill, Kapitonets
Published: (2025)