Multiplicative energy of polynomial images of intervals modulo \(q\) (Q1989540)
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scientific article; zbMATH DE number 6966785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative energy of polynomial images of intervals modulo \(q\) |
scientific article; zbMATH DE number 6966785 |
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Multiplicative energy of polynomial images of intervals modulo \(q\) (English)
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26 October 2018
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Summary: Given a smooth integer \(q\), we use existing upper bounds for character sums to find a lower bound for the size of a multiplicative subgroup of the integers modulo \(q\) which contains the image of an interval of consecutive integers \(I\subset\mathbb{Z}_q\) under a polynomial \(f\in\mathbb{Z}[X]\).
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character sums
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polynomial images
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subgroups of finite fields
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