36(4)
... The main tool used in proving this theorem is a certain generalization of the famous averagetheorem of Gauss-Kusmin-Levy concerning the elements of continued fractions (see Satz 35 in [4]), which is stated in Lemma 2.1 below. It follows from [5] or [7]. The set si given in Theorem 1.1 depends on s a ...
... The main tool used in proving this theorem is a certain generalization of the famous averagetheorem of Gauss-Kusmin-Levy concerning the elements of continued fractions (see Satz 35 in [4]), which is stated in Lemma 2.1 below. It follows from [5] or [7]. The set si given in Theorem 1.1 depends on s a ...
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... (0, 0, • • • , 0) and are in one-to-one correspondence with the sequences of the subscript set. All the sequences of a q-set contain even numbers only. Next, divide all integers of a q - s e t by two. It is seen that the set of sequences so p r o duced a r e the h and l e s s part partitions of (h q ...
... (0, 0, • • • , 0) and are in one-to-one correspondence with the sequences of the subscript set. All the sequences of a q-set contain even numbers only. Next, divide all integers of a q - s e t by two. It is seen that the set of sequences so p r o duced a r e the h and l e s s part partitions of (h q ...
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... L 5 , • • •; these values were already assigned to the symmetric saturated groups; they are an underestimation for the typical asymmetric groups obtained by adding the unit t0 to the symmetric saturated groups. 2. An intermediate term with positive subscript is substituted to the one with n e g ativ ...
... L 5 , • • •; these values were already assigned to the symmetric saturated groups; they are an underestimation for the typical asymmetric groups obtained by adding the unit t0 to the symmetric saturated groups. 2. An intermediate term with positive subscript is substituted to the one with n e g ativ ...
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... It was shown by L. Kuipers and Jau-shyong Shiue [2] that the only moduli for which the Fibonacci sequence \ F }, n = 1, 2, • • • , ...
... It was shown by L. Kuipers and Jau-shyong Shiue [2] that the only moduli for which the Fibonacci sequence \ F }, n = 1, 2, • • • , ...
18(3)
... (in the ring I[x9 y] of polynomials in x and y with integer coefficients) whenever m\n. Unlike the Fibonacci numbers, however, the polynomial is irreducible (in I[xs y]) whenever the index m is irreducible in I. Thus9 the divisibility properties of the more general sequence differ from those of the ...
... (in the ring I[x9 y] of polynomials in x and y with integer coefficients) whenever m\n. Unlike the Fibonacci numbers, however, the polynomial is irreducible (in I[xs y]) whenever the index m is irreducible in I. Thus9 the divisibility properties of the more general sequence differ from those of the ...
41(4)
... drawn in India ink on separate sheets of bond paper or vellum, approximately twice the size they are to appear in print. Since the Fibonacci Association has adopted ¥{ = F2 = 1, ¥n+i= Fn+Fn-i, n>2 and LL=1, L2 =3, L/z+/ = L/z+Ln-i, n>2 as the standard definitions for The Fibonacci and Lucas sequence ...
... drawn in India ink on separate sheets of bond paper or vellum, approximately twice the size they are to appear in print. Since the Fibonacci Association has adopted ¥{ = F2 = 1, ¥n+i= Fn+Fn-i, n>2 and LL=1, L2 =3, L/z+/ = L/z+Ln-i, n>2 as the standard definitions for The Fibonacci and Lucas sequence ...
