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arXiv · 1311.4676

Sums of units in function fields

Christopher Frei
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Abstract

Let R be the ring of S-integers of an algebraic function field (in one variable) over a perfect field, where S is finite and not empty. It is shown that for every positive integer N there exist elements of R that can not be written as a sum of at most N units.

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Christopher Frei. 2013-11-19. Sums of units in function fields. https://doi.org/10.1007/s00605-010-0219-7

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