Article
Bernoulli Polynomials and (Nα)-Sequences
Authors
Abstract
Let α ∈ (0, 1) be an irrational with continued fraction expansion α ex = ist [ s 0; a a1 u , n .. i . q ] u a e nd dig co it nv e e x r p g a e n n s t i s on p q , n n N , n = = 0, 1 m i , = . 0 . . b . iq G i, iv w en he a re po t s h i e tiv d e ig i i n t t s eg b e i r a N re t n h o e n re - negative integers satisfying the conditions b0 2. The formula for u = 2 allows us to compute N n=1 B2(nα) in O((log N)3) steps. Finally we determine all of this αs for which this sum is bounded.
Keywords
Bernoulli polynomial, fractional part, continued fraction.
Citation
Rocadas, L. (2008). Bernoulli polynomials and (nα)-sequences. Uniform Distribution Theory, 3(1), 127–148.
L. Rocadas, “Bernoulli polynomials and (nα)-sequences,” Uniform Distribution Theory, vol. 3, no. 1, pp. 127–148, 2008.
Rocadas L. Bernoulli polynomials and (nα)-sequences. Uniform Distribution Theory. 2008;3(1):127–148.
Rocadas, L. (2008), ‘Bernoulli polynomials and (nα)-sequences’, Uniform Distribution Theory, 3(1), pp. 127–148.
Rocadas, Luıs. “Bernoulli Polynomials and (Nα)-sequences.” Uniform Distribution Theory, vol. 3, no. 1, 2008, pp. 127–148.
Rocadas, Luıs. “Bernoulli Polynomials and (Nα)-sequences.” Uniform Distribution Theory 3, no. 1 (2008): 127–148.
Export citation
Published by: Engineering Journals
