## Found 902 Documents (Results 1–100)

100
MathJax

### On the exceptional solutions of Jeśmanowicz’ conjecture. (English)Zbl 07551778

MSC:  11D61 11J86
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### A purely exponential Diophantine equation in three unknowns. (English)Zbl 07551300

MSC:  11D61 11J86
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### On the family of Diophantine pairs $$\{P_{2K}, 2P_{2k+2}\}$$. (English)Zbl 07547080

MSC:  11D09 11B37 11J86
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### Coincidence between $$k$$-Fibonacci numbers and products of two Fermat numbers. (English)Zbl 07543743

MSC:  11B39 11J86
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### Common terms of Tribonacci and Perrin sequences. (English)Zbl 07541748

MSC:  11B39 11J86
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### An exponential Diophantine equation involving the sum or difference of powers of two pell numbers. (English)Zbl 07541630

MSC:  11B39 11J86
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### A note on the number of solutions of the Pillai type equation $$| a^x - b^y | = k$$. (English)Zbl 07538056

MSC:  11D61 11J86
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### Repdigits base $$b$$ as difference of two Fibonacci numbers. (English)Zbl 07537610

MSC:  11B39 11J86 11D61
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### On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers. (English)Zbl 07535765

MSC:  11Dxx 11B39 11J86
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### Fractional parts of powers of real algebraic numbers. (English)Zbl 07534568

MSC:  11J68 11J86 11R06
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### Mersenne numbers which are products of two Pell numbers. (English)Zbl 07531928

MSC:  11B39 11J86 11D61
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### On the extensions of the Diophantine triples in Gaussian integers. (English)Zbl 07527780

MSC:  11D09 11J68 11J86
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### On Fermat and Mersenne numbers expressible as product of two $$k$$-Fibonacci numbers. (English)Zbl 07510862

MSC:  11B39 11J86
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### The Okada space and vanishing of $$L(1,f)$$. (English)Zbl 07499474

MSC:  11J72 11J86
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### On the Diophantine equation $$P_m=P_n^x+P_{n+1}^x$$ with Padovan numbers. (English)Zbl 07493127

MSC:  11D61 11J86
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### Consecutive tuples of multiplicatively dependent integers. (English)Zbl 07493026

MSC:  11N25 11D61 11J86
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### Fibonacci numbers as sums of two Padovan numbers. (English)Zbl 07492757

MSC:  11J86 11D61
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### $$k$$-Pell numbers as product of two repdigits. (English)Zbl 07488617

MSC:  11B39 11J86
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### A further note on Jeśmanowicz’ conjecture concerning primitive Pythagorean triples. (English)Zbl 07488613

MSC:  11D61 11J86
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### On the intersection of $$k$$-Lucas sequences and some binary sequences. (English)Zbl 07479505

MSC:  11B39 11J86
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### Generalization of a theorem of Adegbindin, Luca and Togbé. (English)Zbl 1480.11024

MSC:  11B39 11J86
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### Perrin numbers expressible as sums of two base $$b$$ repdigits. (English)Zbl 07552277

MSC:  11A25 11B39 11J86
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### Fibonacci numbers which are products of two Jacobsthal numbers. (English)Zbl 07534885

MSC:  11B39 11D61 11J86
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### On solutions of the Diophantine equation $$F_{n_1}+F_{n_2}+F_{n_3}+F_{n_4}=2^a$$. (English)Zbl 07528433

MSC:  11B39 11J86 11D61
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### Powers of three as difference of two Fibonacci numbers $$F_n-F_m=3^p)$$. (English)Zbl 07523001

MSC:  11B39 11J86 11D61
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### Repdigits as difference of two Fibonacci or Lucas numbers. (English)Zbl 07509978

MSC:  11B39 11J86 11D61
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### Fermat and Mersenne numbers in $$k$$-Pell sequence. (English)Zbl 07509977

MSC:  11B39 11J86
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### On Pillai’s problem with Lucas numbers and powers of 3. (English)Zbl 07497500

MSC:  11B39 11D61 11J86
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### On perfect powers which are sum or difference of two Lucas numbers. (English)Zbl 07493460

MSC:  11B39 11J86 11D61
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### An approach to Pillai’s problem with the Pell sequence and the powers of 3. (English)Zbl 07493431

MSC:  11B39 11J86
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### On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences. (English)Zbl 07493381

MSC:  11B39 11J86
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### Corrigendum to “Pentagonal and heptagonal repdigits” [Annales Mathematicae et Informaticae 52 (2020) 137-145]. (English)Zbl 07493377

MSC:  11A25 11B39 11J86
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### Tribonacci numbers with two blocks of repdigits. (English)Zbl 07474090

MSC:  11B39 11A63 11J86
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### Repdigits base $$b$$ as products of two Lucas numbers. (English)Zbl 1485.11031

MSC:  11B39 11J86 11D61
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### $$k$$-Fibonacci numbers close to a power of 2. (English)Zbl 1485.11024

MSC:  11B39 11J86
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### Pell and Pell-Lucas numbers as sums of three repdigits. (English)Zbl 1484.11006

MSC:  11A25 11B39 11J86
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### Repdigits base $$b$$ as products of two Fibonacci numbers. (English)Zbl 1485.11030

MSC:  11B39 11J86 11D61
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### Pillai’s problem with $$k$$-Fibonacci and Pell numbers. (English)Zbl 1485.11023

MSC:  11B39 11J86
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### Tribonacci numbers with two blocks of repdigits. (English)Zbl 1485.11022

MSC:  11B39 11J86
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### On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. (English)Zbl 1481.11020

MSC:  11B39 11D61 11J86
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### Fibonacci or Lucas numbers which are products of two repdigits in base $$b$$. (English)Zbl 1484.11063

MSC:  11B39 11J86 11D61
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### An exponential Diophantine equation related to the sum of powers of two consecutive terms of a Lucas sequence and $$x$$-coordinates of Pell equations. (English)Zbl 07434713

MSC:  11B39 11J86
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### $$k$$-Fibonacci and $$k$$-Lucas numbers as product of two repdigits. (English)Zbl 07423105

MSC:  11B39 11J86
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### On the nonnegative integer solutions of the equation $$F_n \pm F_m = y^a$$. (English)Zbl 07421737

MSC:  11B39 11J86 11D61
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### Dem’janenko’s theorem on Jeśmanowicz’ conjecture concerning Pythagorean triples revisited. (English)Zbl 07419034

MSC:  11D61 11J86
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### $$k$$-generalized Fibonacci numbers which are concatenations of two repdigits. (English)Zbl 07414938

MSC:  11B39 11A63 11J86
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### Repdigits base $$b$$ as products of two Pell numbers or Pell-Lucas numbers. (English)Zbl 1485.11029

MSC:  11B39 11J86 11D61
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### Counting solvable $$S$$-unit equations. (English)Zbl 07411870

MSC:  11D61 11J86
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### Solutions of a class of quartic Thue inequalities. (English)Zbl 07410372

MSC:  11D59 11D09 11J86
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### Finding all $$S$$-Diophantine quadruples for a fixed set of primes $$S$$. (English)Zbl 1482.11056

MSC:  11D61 11Y50
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### Padovan and Perrin numbers which are products of two repdigits in base $$b$$. (English)Zbl 1473.11037

MSC:  11B39 11A63 11J86
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### Extension of a Diophantine triple with the property $$D(4)$$. (English)Zbl 07399062

MSC:  11D09 11D45 11J86
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### On the exponential Diophantine equation $$F_{n+1}^x - F_{n-1}^x = F_m$$. (English)Zbl 07388040

MSC:  11D61 11B39 11J86
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### Repdigits as products of consecutive Padovan or Perrin numbers. (English)Zbl 07384621

MSC:  11B39 11J86 11D45
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### Note on a problem of Ramanujan. (English)Zbl 1468.11209

MSC:  11P21 11J68 11J86
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### On $$k$$-Fibonacci balancing and $$k$$-Fibonacci Lucas-balancing numbers. (English)Zbl 1471.11078

MSC:  11B39 11B83 11J86
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### Generalized Lucas numbers which are concatenations of two repdigits. (English)Zbl 1484.11047

MSC:  11B39 11J86
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### A note on Jeśmanowicz’ conjecture concerning nonprimitive Pythagorean triples. (English)Zbl 1471.11124

MSC:  11D61 11J86
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### Even perfect numbers in generalized Pell sequences. (English)Zbl 1471.11048

MSC:  11B39 11A25 11J86
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### On the Diophantine pair $$\{a,3a\}$$. (English)Zbl 1475.11045

MSC:  11D09 11J86
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### Lucas numbers which are concatenations of three repdigits. (English)Zbl 1485.11028

MSC:  11B39 11J86 11D61
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### Padovan numbers which are palindromic concatenations of two distinct repdigits. (English)Zbl 1468.11049

MSC:  11B39 11D61 11J86
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### Common values of generalized Fibonacci and Pell sequences. (English)Zbl 1471.11049

MSC:  11B39 11J86
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### Markov type equations with solutions in Lucas sequences. (English)Zbl 1472.11068

MSC:  11B39 11D09 11J86
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### Product of repdigits with consecutive lengths in the Fibonacci sequence. (English)Zbl 1471.11067

MSC:  11B39 11D61 11J86
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### Lucas numbers which are concatenations of two repdigits. (English)Zbl 1481.11021

MSC:  11B39 11J86 11D61
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### Fibonacci numbers which are concatenations of two repdigits. (English)Zbl 1472.11067

MSC:  11B39 11A25 11J86
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### An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers. (English)Zbl 07340048

MSC:  11D61 11B39 11J86
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### $$k$$-Fibonacci powers as sums of powers of some fixed primes. (English)Zbl 07335302

MSC:  11B39 11D61 11J86
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### Repdigits in the base $$b$$ as sums of four balancing numbers. (English)Zbl 07332742

MSC:  11B39 11J86 11D61
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### Two $$b$$-repunits in the Fibonacci sequence. (English)Zbl 1468.11054

MSC:  11B39 11D61 11J86
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### On a conjecture concerning the generalized Ramanujan-Nagell equation. (English)Zbl 07539878

MSC:  11D61 11D09 11J86

### Corrigendum to: “A new upper bound for odd perfect numbers of a special form”. (English)Zbl 1484.11008

MSC:  11A25 11D61 11J86
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### Fibonacci numbers in generalized Pell sequences. (English)Zbl 1485.11025

MSC:  11B39 11J86
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### Topics in homogeneous dynamics and number theory. (English)Zbl 1482.37003

Nagar, Anima (ed.) et al., Elements of dynamical systems. Lecture notes form NCM school, Delhi, India, December 4–23, 2017. New Delhi: Hindustan Book Agency. Texts Read. Math. 79, 165-186 (2020).
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### Repdigits a sums of two Lucas numbers. (English)Zbl 1484.11062

MSC:  11B39 11D72 11J86
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### Linear combinations of prime powers in $$X$$-coordinates of Pell equations. (English)Zbl 1485.11027

MSC:  11B39 11D45 11J86
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