The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
- 31 January 2011
- journal article
- research article
- Published by Elsevier in Journal of Approximation Theory
- Vol. 163 (1) , 22-40
- https://doi.org/10.1016/j.jat.2010.02.005
Abstract
No abstract availableKeywords
This publication has 9 references indexed in Scilit:
- Möbius inversion formulas for flows of arithmetic semigroupsJournal of Number Theory, 2008
- A transform involving Chebyshev polynomials and its inversion formulaJournal of Mathematical Analysis and Applications, 2006
- Evaluation of Dirichlet SeriesThe American Mathematical Monthly, 2001
- The Möbius inversion and Fourier coefficientsApplied Mathematics and Computation, 2001
- Some formulas for the Bernoulli and Euler polynomials at rational argumentsMathematical Proceedings of the Cambridge Philosophical Society, 2000
- Two problems related to the non-vanishing of $L (1, \chi)$Journal de Théorie des Nombres de Bordeaux, 1998
- New Formulae for the Bernoulli and Euler Polynomials at Rational ArgumentsProceedings of the American Mathematical Society, 1995
- Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomialsJournal of Approximation Theory, 1987
- Sur l'inversion de certaines sériesAnnali di Matematica Pura ed Applicata (1923 -), 1885