On the equation F(n 2 + 1) = bF(n 2 − 1) + c

Under a suitable conjecture concerning prime numbers, we provide a complete solution to the equation F(n 2 + 1) = bF(n 2 − 1) + c for every n ∈ N, n > 1, where F : N → C is a completely multiplicative function and b, c ∈ C, c ̸= 0.

Authors

Publication Details

Journal
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Published
2025-01-01
DOI
https://doi.org/10.71352/ac.58.180625
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00
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article

On the equation F(n 2 + 1) = bF(n 2 − 1) + c

Imre Kátai, Bui Minh Mai Khanh, Bui Minh Phong
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica
Meromorphic and Entire Functions
article

On the equation F(n 2 + 1) = bF(n 2 − 1) + c

Imre Kátai, Bui Minh Mai Khanh, Bui Minh Phong
article en

Abstract

Under a suitable conjecture concerning prime numbers, we provide a complete solution to the equation F(n 2 + 1) = bF(n 2 − 1) + c for every n ∈ N, n > 1, where F : N → C is a completely multiplicative function and b, c ∈ C, c ̸= 0.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatoricaVol. 58
Openalex Percentile: Top 79%
Meromorphic and Entire Functions
DOIOpen Access PDFOpenAlex
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On the equation F(n 2 + 1) = bF(n 2 − 1) + c — Imre Kátai, Bui Minh Mai Khanh, et al. · Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio computatorica (2025) | TGRS Research Map | TGRS