Abstract
The title of this chapter is a little emphatic, because the probabilistic methods will here concentrate essentially about one maximal inequality, which is fairly well-known in harmonic analysis, but will have a specific aspect, due to the Bohr point of view on Dirichlet series. We tried to keep the presentation as self-contained as possible, since the subject may be not completely familiar to some number-theoretists. Let us emphasize that those probabilistic methods have a great flexibility, and are nearly compulsory in some questions, even if the initial proof of the Bohnenblust-Hille theorem, to be proved in the last section, made no use of such methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Hindustan Book Agency
About this chapter
Cite this chapter
Queffélec, H., Queffélec, M. (2013). Probabilistic methods for Dirichlet series. In: Diophantine Approximation and Dirichlet Series. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-61-3_5
Download citation
DOI: https://doi.org/10.1007/978-93-86279-61-3_5
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-93-80250-53-3
Online ISBN: 978-93-86279-61-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)