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…
math.CO2025
The log concavity of two graphical sequences
Minjia Shi, Lu Wang, Patrick Sole
We show that the large Cartesian powers of any graph have log-concave valencies with respect to a ffxed vertex. We show that the series of valencies of distance regular graphs is l…