There are Salem Numbers with Trace โ3 and Every Degree At Least 34
There are Salem Numbers with Trace โ3 and Every Degree At Least 34
We prove that there exist Salem numbers with trace โ3 and every even degree โฅ34. Our proof combines a theoretical approach, which allows us to treat all sufficiently large degrees, with a numerical search for small degrees. Since it is known that there are no Salem numbers of trace โ3 โฆ