Some new results on the largest cycle consisting of quadratic residues

The length of the largest cycle consisting of quadratic residues of a positive integer n is denoted by L(n). In this paper, we have obtained a formula for finding L(p), where p is a prime. Also, we attempt to characterize a prime number p in terms of the largest cycle consisting of quadratic residues of p.

Authors

Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2024-12-01
DOI
https://doi.org/10.7546/nntdm.2024.30.4.843-850
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Some new results on the largest cycle consisting of quadratic residues

Pinkimani Goswami, Prabin Das
Notes on Number Theory and Discrete Mathematics
Analytic Number Theory Research
article

Some new results on the largest cycle consisting of quadratic residues

Pinkimani Goswami, Prabin Das
article en

Abstract

The length of the largest cycle consisting of quadratic residues of a positive integer n is denoted by L(n). In this paper, we have obtained a formula for finding L(p), where p is a prime. Also, we attempt to characterize a prime number p in terms of the largest cycle consisting of quadratic residues of p.

Notes on Number Theory and Discrete MathematicsVol. 30(4)
Openalex Percentile: Top 59%
Analytic Number Theory Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.