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An analogue of Ruzsa's conjecture for polynomials over finite fields
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2020-09-28 , DOI: 10.1016/j.jcta.2020.105337
Jason P. Bell , Khoa D. Nguyen

In 1971, Ruzsa conjectured that if f:NZ with f(n+k)f(n) mod k for every n,kN and f(n)=O(θn) with θ<e then f is a polynomial. In this paper, we investigate the analogous problem for the ring of polynomials over a finite field using the Polynomial Method in combinatorics.



中文翻译:

有限域上多项式的Ruzsa猜想的类似物

1971年,Ruzsa推测 FñžFñ+ķFñ每个的mod kñķñFñ=Øθñθ<Ë那么f是一个多项式。在本文中,我们使用组合函数中的多项式方法研究了有限域上多项式环的类比问题。

更新日期:2020-09-29
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