Some additive results in F_q[t]

Additive number theory;function fields;Pure Mathematics

Yamagishi, Shuntaro

University of Waterloo

关键词: Additive number theory;    function fields;    Pure Mathematics;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/9603/1/Yamagishi_Shuntaro.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

We collected several results in integers of additive number theory and translated to results in F_q[t]. The results we collected are related to slim exceptional sets and the asymptotic formula in Waring;;s problem, a diophantine approximation of polynomials over integers satisfyingdivisibility conditions, and the problem of Sidon regarding the existence of certain thin sequences.