Refinement of the Chowla–Erdős method and linear independence of certain Lambert series
-
Daniel Duverney
Abstract
In this paper, we refine the method
of Chowla and Erdős on the irrationality of Lambert series and study a
necessary condition for the
infinite series
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: JP18K03201
Funding statement: This work was supported by JSPS KAKENHI Grant Number JP18K03201.
Acknowledgements
The authors would like to express their sincere gratitude to the referee for careful reading the manuscript and for giving useful comments.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Censored symmetric Lévy-type processes
- 𝐾-theory and immersions of spatial polygon spaces
- 𝐻𝑝 spaces for generalized Schrödinger operators and applications
- Commutative cocycles and stable bundles over surfaces
- Normal elements in the mod-𝑝 Iwasawa algebra over SL𝑛(ℤ𝑝): A computational approach
- Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations
- Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces
- Exceptional sets for sums of almost equal prime cubes
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- Beilinson–Flach elements, Stark units and 𝑝-adic iterated integrals
- On the bounded approximation property on subspaces of ℓp when 0 < p < 1 and related issues
- Refinement of the Chowla–Erdős method and linear independence of certain Lambert series
- Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces
- On commutator Krylov transitive and commutator weakly transitive Abelian p-groups
Artikel in diesem Heft
- Frontmatter
- Censored symmetric Lévy-type processes
- 𝐾-theory and immersions of spatial polygon spaces
- 𝐻𝑝 spaces for generalized Schrödinger operators and applications
- Commutative cocycles and stable bundles over surfaces
- Normal elements in the mod-𝑝 Iwasawa algebra over SL𝑛(ℤ𝑝): A computational approach
- Non-spectrality of self-affine measures on the three-dimensional Sierpinski gasket
- Plurisubharmonic functions on a neighborhood of a torus leaf of a certain class of foliations
- Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces
- Exceptional sets for sums of almost equal prime cubes
- Higher differentiability of solutions to a class of obstacle problems under non-standard growth conditions
- Beilinson–Flach elements, Stark units and 𝑝-adic iterated integrals
- On the bounded approximation property on subspaces of ℓp when 0 < p < 1 and related issues
- Refinement of the Chowla–Erdős method and linear independence of certain Lambert series
- Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces
- On commutator Krylov transitive and commutator weakly transitive Abelian p-groups
