Divisibility of Fibonomial coefficients in terms of their digital representations and applications
Copyright policy )Divisibility of Fibonomial coefficients in terms of their digital representations and applications
<abstract><p>We give a characterization for the integers $ n \geq 1 $ such that the Fibonomial coefficient $ {pn \choose n}_F $ is divisible by $ p $ for any prime $ p \neq 2, 5 $. Then we use it to calculate asymptotic formulas for the number of positive integers $ n \leq x $ such that $ p \mid {pn \choose n}_F $. This completes the study on this problem for all primes $ p $.</p></abstract>
- Silpakorn University Thailand
Prime Number Theory and L-Functions, fibonomial coefficient, fibonacci number, Algebraic Geometry and Moduli Theory, Prime (order theory), QA1-939, FOS: Mathematics, binomial coefficient, divisibility, Algebra and Number Theory, Fibonacci Numbers, Arithmetic, digit, Physics, sum of digits function, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Optics, asymptotic, Discrete mathematics, Physics and Astronomy, Combinatorics, Physical Sciences, Geometry and Topology, Divisibility rule, Mathematics, Characterization (materials science)
Prime Number Theory and L-Functions, fibonomial coefficient, fibonacci number, Algebraic Geometry and Moduli Theory, Prime (order theory), QA1-939, FOS: Mathematics, binomial coefficient, divisibility, Algebra and Number Theory, Fibonacci Numbers, Arithmetic, digit, Physics, sum of digits function, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Optics, asymptotic, Discrete mathematics, Physics and Astronomy, Combinatorics, Physical Sciences, Geometry and Topology, Divisibility rule, Mathematics, Characterization (materials science)
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