Results 1 to 10 of about 44 (43)
, 2023 Here we find the Padovan and Perrin numbers that are concatenations of two terms of the other sequence. We also find the intersection between these ternary sequences.
Bravo, Eric Fernando
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On the exponential Diophantine equation (3m2 + 1)x + (qm2 − 1)y = (rm)z [PDF]
, 2020 Let m, q, r be positive integers. Then we show that the equation (3m2+1)x+(qm2−1)y = (rm)z has only the positive integer solution (x, y, z) = (1, 1, 2) under some conditions. The proof is based on elementary methods and Baker’s method.
Yoshiki Shinsho, Nobuhiro Terai
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On the number of solutions of the diophantine equation x2 + 2a - pb = y4
, 2015 Let p be a fixed odd prime. In this paper, we study the integer solutions (x, y, a, b) of the equation x2 +2a · pb = y4; gcd(x, y) = 1, x > 0; y > 0; a ≥ 0; b ≥ 0, and we derive upper bounds for the number of such solutions.AMS 2010 Subject Classifcation:
Soydan G., Le M., Zhu H.
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Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2021 Chalebgwa TP, Ddamulira M.
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Integers representable as differences of linear recurrence sequences. [PDF]
Res Number Theory, 2021 Tichy R, Vukusic I, Yang D, Ziegler V.
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On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
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On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]
Bol Soc Mat Mex, 2021 Ddamulira M.
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Finding all S-Diophantine quadruples for a fixed set of primes S. [PDF]
Mon Hefte Math, 2021 Ziegler V.
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ramanujan J, 2021 Ddamulira M, Luca F.
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
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