On a Diophantine equation involving Fibonacci numbers and the Ramanujan tau-function of factorials

Florian Luca; Sibusiso Mabaso

doi:10.1007/s13370-021-00950-1

Back

On a Diophantine equation involving Fibonacci numbers and the Ramanujan tau-function of factorials

Journal article

Peer reviewed

On a Diophantine equation involving Fibonacci numbers and the Ramanujan tau-function of factorials

Florian Luca and Sibusiso Mabaso

Afrika mathematica, Vol.33(1)

01/03/2022

DOI: https://doi.org/10.1007/s13370-021-00950-1

Abstract

Mathematics

Physical Sciences

Science & Technology

In this note, we look at the Diophantine equation obtained imposing that a Fibonacci number is a signed sum of values of the Ramanujan tau-function in factorials.

Metrics

1 Record Views

Details

Title: On a Diophantine equation involving Fibonacci numbers and the Ramanujan tau-function of factorials
Creators - without role: Florian Luca - King Abdulaziz University
Sibusiso Mabaso - Mangosuthu University of Technology
Publication Details: Afrika mathematica, Vol.33(1)
Publisher: Springer Nature
Number of pages: 18
Grant note: RTNUM19 / CoEMaSS at Wits CPRR160325161141 / NRF of South Africa
Identifiers: 9938447708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article