Weijun Yin

Ghost Hecke eigenforms modulo p and the non-semi-simple stratum at the prime 2

The space of cusp forms S₂(Γ₀(2)) is zero-dimensional over C. Modulo a prime p, we construct a non-zero formal Hecke eigenform χ_p whose eigenvalues are given by the divisor function τ(m) mod p for m coprime to p, generating a one-dimensional module for a weight-collapsed Hecke a...

Ghost Hecke eigenforms modulo p and the non-semi-simple stratum at the prime 2

The space of cusp forms S₂(Γ₀(2)) is zero-dimensional over C. Modulo a prime p, we construct a non-zero formal Hecke eigenform χ_p whose eigenvalues are given by the divisor function τ(m) mod p for m coprime to p, generating a one-dimensional module for a weight-collapsed Hecke a...

Clifford Rigidity of Transverse Combinations for Weight-4 Newforms

We prove that the Fourier coefficients of the three weight-4 newforms of levels 6, 8, 12 are governed by a rigid algebraic framework centred on the even subalgebra Cl⁰(2,2) of the real Clifford algebra of signature (2,2). The coefficients are assembled into a single Clifford elem...