Sieving Polynomial via Parametrization for Factorization of Some Special Forms

Authors

  • P. Anuradha Kameswari Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, India.
  • G. Surya Kantham Department of Mathematics, Andhra University, Visakhapatnam - 530003, Andhra Pradesh, India.

DOI:

https://doi.org/10.9734/bpi/rhmcs/v3/17116D

Keywords:

Factorization, quadratic equation, parametrization, sieving polynomial

Abstract

In 1998 zhang developed a method which can factor integers of the form x3+...+a0 for a0 << m. In 2022 Eric Landquist [1] generalised the method for numbers of the form n = m5 + a0. In this paper going in the lines of Eric, we propose some non trivial parametrizations and obtain a sieving polynomial for factoring of the numbers of the form n = m5 + a4m4 + a3m3 + a2m2 + a1m + a0 with ai << m.

Published

2022-12-14

How to Cite

P. Anuradha Kameswari, & G. Surya Kantham. (2022). Sieving Polynomial via Parametrization for Factorization of Some Special Forms. Research Highlights in Mathematics and Computer Science Vol. 3, 49–60. https://doi.org/10.9734/bpi/rhmcs/v3/17116D

Issue

Research Highlights in Mathematics and Computer Science Vol. 3

Section

Chapters