2 papers
math.NT2025
Proof of the Lehmer conjecture on Ramanujan's function
Minjia Shi, Lu Wang, Patrick Solé
A criterion for Lehmer's conjecture in terms of the spherical designs held in the shells of the lattice was derived by de La Harpe, Pache and Venkov circa 2005. We check that…
cs.IT2025
Disproving some theorems in Sharma and Chauhan et al. (2018, 2021)
Ramy Takieldin, Patrick Solé
The main objective of this work is to show, through counterexamples, that some of the theorems presented in the papers of Sharma \textit{et al.} (2018) and Chauhan \textit{et al.}…