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Bijan Kumar Patel

Observed names: B.K. Patel, BIJAN KUMAR PATEL, Bijan Kumar PATEL, Bijan Patel, Kumar Patel, Bijan, Patel, Bijan Kumar
ORCID: 0000-0001-7637-8489
Observed ORCID: 0000-0001-7637-8489
OpenAlex ID: A5000167770
Incomplete balancing and lucas-balancing numbers
2018 · Bijan Kumar Patel, Nurettin Irmak, et al. · Niğde Üniversitesi Açık Erişim Sistemi · 23
On the Exponential Diophantine Equation $$F_{n+1}^{x} - F_{n-1}^{x} = F_{m}$$
2021 · Bijan Kumar Patel, Ana Paula Chaves · Mediterranean Journal of Mathematics · 7
On Balancing and Lucas-balancing Quaternions
2021 · Bijan Kumar Patel, Prasanta Kumar Ray · Communications in Mathematics · 4
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Narayana numbers as sums of two base b repdigits
2022 · Prasanta Kumar Ray, Kisan Bhoi, et al. · Acta et Commentationes Universitatis Tartuensis de Mathematica · 3
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Balancing non-Wieferich primes in arithmetic progressions
2019 · Utkal Keshari Dutta, Bijan Kumar Patel, et al. · Proceedings - Mathematical Sciences · 3
Several formulas for Bernoulli numbers and polynomials
2021 · Takao Komatsu, Bijan Kumar Patel, et al. · Advances in Mathematics of Communications · 2
Pell and Pell-Lucas numbers as sums of three repdigits
2020 · Bhoi, Kisan, Patel, Bijan Kumar, et al. · arXiv (Cornell University) · 2
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An Exponential Diophantine Equation Related to Powers of Three Consecutive Fibonacci Numbers
2020 · Bijan Kumar Patel, Wen Chean Teh · Bulletin of the Malaysian Mathematical Sciences Society · 2
On the Periodicity of Lucas-Balancing Numbers and p-adic Order of Balancing Numbers
2020 · Takao Komatsu, Bijan Kumar Patel, et al. · Iranian Journal of Science and Technology Transactions A Science · 2
Positive integer solutions of certain diophantine equations
2018 · Bijan Kumar Patel, Prasanta Kumar Ray, et al. · Proceedings - Mathematical Sciences · 2
Uniform Distribution of the Sequence of Balancing Numbers Modulo m
2016 · Prasanta Kumar Ray, Bijan Kumar Patel · Uniform distribution theory · 2
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Period of balancing numbers modulo product of consecutive Lucas-balancing numbers
2018 · Bijan Kumar Patel, Shanta Kumari Sunanda, et al. · Mathematica · 1
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$k$-Pell numbers of the form $x^a \pm x^b + 1$
2026 · Bibhu Prasad Tripathy, Bijan Kumar Patel · Czechoslovak Mathematical Journal
On balancing and Lucas-balancing numbers expressible as product of two k-Fibonacci numbers
2026 · Bibhu Prasad Tripathy, Bijan Kumar Patel · ANNALI DELL UNIVERSITA DI FERRARA
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Fibonacci and Lucas numbers close to Narayana's cows numbers
2026 · A. Satapathy, B.P. Tripathy, et al. · Researches in Mathematics
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On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences
2026 · Bibhu Prasad Tripathy, Asutosh Satapathy, et al. · Publicationes Mathematicae Debrecen
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Diophantine equation with balancing-like sequences associated with the Shorey–Tijdeman-type problem
2025 · Bijan Patel, Prashant Tiwari · Contributions to Discrete Mathematics
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k-Pell numbers written as a product of two Narayana numbers
2025 · Bibhu Prasad Tripathy, Bijan Kumar Patel · Revista Colombiana de Matemáticas
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Analytic characteristic of k-generalized Pell zeta function
2025 · Biswal, Dibyajyoti, Dutta, Utkal Keshari, et al. · Nonlinear studies
ON PERFECT POWERS AS SUMS OR DIFFERENCES OF TWO k -GENERALISED PELL NUMBERS
2025 · BIJAN KUMAR PATEL, BIBHU PRASAD TRIPATHY · Bulletin of the Australian Mathematical Society
Common terms of generalized Pell and Narayana's cows sequences
2023 · Tripathy, Bibhu Prasad, Patel, Bijan Kumar · arXiv (Cornell University)
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$k$-Pell-Lucas numbers which are concatenations of two repdigits
2023 · Tripathy, Bibhu Prasad, Patel, Bijan Kumar · arXiv (Cornell University)
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$k$-Pell-Lucas numbers as Product of Two Repdigits
2022 · Tripathy, Bibhu Prasad, Patel, Bijan Kumar · arXiv (Cornell University)
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Sums of three Fibonacci numbers close to a power of 2
2022 · Tripathy, Bibhu Prasad, Patel, Bijan Kumar · arXiv (Cornell University)
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Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers
2022 · Asim Patra, Claudio Pita-Ruiz, et al. · Boletín de la Sociedad Matemática Mexicana
Works count: 36
Citation count: 53
H-index: 3
I10-index: 1
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