P-Adic Qth Roots Via Newton-Raphson Method

• المؤلفون الرئيسيون: Ignacio, Paul Samuel, Addawe, Joel, Nable, Job A
• التنسيق: text
• منشور في: Archīum Ateneo 2016
• الموضوعات: p-adic number; Newton-Raphson; p-adic roots; Analysis; Mathematics
• الوصول للمادة أونلاين: https://archium.ateneo.edu/mathematics-faculty-pubs/10; http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/937

Hensel’s lemma has been the basis for the computation of the square roots of p-adic numbers in Zp. We generalize this problem to the computation of qth roots of p-adic numbers in Qp, where q is a prime and p is greater than q. We provide necessary and sufficient conditions for the existence of qth r...