Set and suppose that is a square-free algebraic integer with . Let denote the Hecke -function associated with the quartic residue character modulo . For , we prove an asymptotic distribution function for the values of the logarithm of
as varies. Moreover, the characteristic function of is expressed explicitly as a product over the prime ideals of .
"Value-distribution of quartic Hecke -functions." Mosc. J. Comb. Number Theory 10 (3) 167 - 181, 2021. https://doi.org/10.2140/moscow.2021.10.167