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- W3205964172 abstract "Let $F$ be a binary form with integer coefficients, non-zero discriminant and degree $d geq 3$. Let $R_F(Z)$ denote the number of integers of absolute value at most $Z$ which are represented by $F$. In 2019 Stewart and Xiao proved that $R_F(Z) sim C_FZ^{2/d}$ for some positive number $C_F$. We compute $C_{R_n}$ and $C_{I_n}$ for the binary forms $R_n(x, y)$ and $I_n(x, y)$ defined by means of the relation $ (x + yi)^n = R_n(x, y) + I_n(x, y)i$, where the variables $x$ and $y$ are real." @default.
- W3205964172 created "2021-10-25" @default.
- W3205964172 creator A5017460809 @default.
- W3205964172 date "2021-10-11" @default.
- W3205964172 modified "2023-09-27" @default.
- W3205964172 title "On the Representation of Integers by Binary Forms Defined by Means of the Relation $(x + yi)^n = R_n(x, y) + I_n(x, y)i$" @default.
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