2 papers
math.NT2025
Secondary terms in the counting functions of quartic fields II
Arul Shankar, Jacob Tsimerman
We determine the smoothed counts of -quartic fields with bounded discriminant, satisfying any finite specified set of local conditions, as the sum of two main terms with a pow…
math.NT2025
Secondary terms in the counting functions of quartic fields
Arul Shankar, Jacob Tsimerman
We prove that the smoothed counting function of the set of quartic fields, satisfying any finite set of local conditions, can be written as a linear combination of $X,X^{5/6}\log X…