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- W2536700725 abstract "We show that if there exists an integer subject to some congruence conditions that cannot be written as the sum of the norm of an ideal in $mathbb{Z}[exp(2pi i/2^k)]$ and at most $k$ powers of $2$, $kgeq 3$, then there are infinitely many such integers. Also, if there exists an integer that cannot be written as the sum of an integer which is the norm of an ideal in in $mathbb{Z}[exp(2pi i/p)]$ and at most $p-2$ powers of $p$, where $pgeq 3$ is a prime, then there are infinitely many such integers. Finally it is shown that there are infinitely many integers not the sum of the norm of an ideal in $mathbb{Z}[exp(2pi i/p)]$ and at most $p-2$ powers of $p$, for $pgeq 3$ prime." @default.
- W2536700725 created "2016-10-28" @default.
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- W2536700725 date "2016-10-17" @default.
- W2536700725 modified "2023-09-27" @default.
- W2536700725 title "On the sum of integers from some multiplicative sets and some powers of integers" @default.
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