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math.NT2015★ 2 cited
Computing dimensions of spaces of Arakelov divisors of number fields
Ha Thanh Nguyen Tran
The function for a number field is analogous to the dimension of the Riemann-Roch spaces at divisors on an algebraic curve. We provide a method to compute this function for n…
math.NT2015★ 1 cited
A generalization of reduced Arakelov divisors of a number field
Ha Thanh Nguyen Tran
Let . Inspired by the LLL-algorithm, we define strongly -reduced divisors of a number field which are generalized from the concept of reduced Arakelov divisors. Mo…