Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms

Yuri Bilu, Jean-Marc Deshouillers, Sanoli Gun +1

Let τ(.) be the Ramanujan τ-function, and let k be a positive integer such that τ(n) is not 0 for n=1,...,[k/2]. (This is known to be true for k < 10^{23}, and, conjecturally, for…