A Remark on the Conjectures of Lang-Trotter and Sato-Tate on Average
Stephan Baier

TL;DR
This paper presents new average results concerning the Lang-Trotter and Sato-Tate conjectures related to elliptic curves, advancing understanding in this area of number theory.
Contribution
It provides novel average results on the Lang-Trotter and Sato-Tate conjectures, which were previously less understood.
Findings
New average results on Lang-Trotter conjecture
Enhanced understanding of Sato-Tate distribution
Progress in elliptic curve conjecture research
Abstract
We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Graph theory and applications
