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math.NT2023★ 4 cited
Well-Rounded ideal lattices of cyclic cubic and quartic fields
Dat T. Tran, Nam H. Le, Ha T. N. Tran
In this paper, we find criteria for when cyclic cubic and cyclic quartic fields have well-rounded ideal lattices. We show that every cyclic cubic field has at least one well-rounde…
math.NT2023
The size function for imaginary cyclic sextic fields
Ha Thanh Nguyen Tran, Peng Tian, Amy Feaver
In this paper, we investigate the size function for number fields. This size function is analogous to the dimension of the Riemann-Roch spaces of divisors on an algebraic cur…