On some Vongruence with Application to Exponential Sums

Proceedings Mathematical Sciences

Soon-Mo Jung¹ 

[1] Mathematics Section, College of Science and Technology, Hong-Ik University, -0 Chochiwon, Korea$$

关键词: Congruence;    multiplicative order;    exponential sum.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We will study the solution of a congruence, $x≡ g^{(1/2)𝜔_g(2^n)}mathrm{mod} 2^n$, depending on the integers 𝑔 and 𝑛, where $𝜔_g(2^n)$ denotes the order of 𝑔 modulo $2^n$. Moreover, we introduce an application of the above result to the study of an estimation of exponential sums.

【 授权许可】

Unknown