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math.NT2019
Positive semigroups and generalized Frobenius numbers over totally real number fields
Lenny Fukshansky, Yingqi Shi
Frobenius problem and its many generalizations have been extensively studied in several areas of mathematics. We study semigroups of totally positive algebraic integers in totally…
math.NT2019
Small representations of integers by integral quadratic forms
Wai Kiu Chan, Lenny Fukshansky
Given an isotropic quadratic form over a number field which assumes a value , we investigate the distribution of points at which this value is assumed. Building on the previous…