Pairs of dot products in finite fields and rings
| Autor: | Covert, David, Senger, Steven |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We obtain bounds on the number of triples that determine a given pair of dot products arising in a vector space over a finite field or a module over the set of integers modulo a power of a prime. More precisely, given $E\subset \mathbb F_q^d$ or $\mathbb Z_q^d$, we provide bounds on the size of the set \[\left\{(u,v,w)\in E \times E \times E : u\cdot v = \alpha, u \cdot w = \beta \right\}\] for units $\alpha$ and $\beta$. |
| Databáze: | arXiv |
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