Automatic Dirichlet series
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Publication:1976814
DOI10.1006/jnth.1999.2487zbMath0971.11006OpenAlexW2035202981MaRDI QIDQ1976814
Jacques Peyrière, Michel Mendès France, Jean-Paul Allouche
Publication date: 30 October 2001
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/3882e7f3df6b0a81e5a50d2d5730045c3e7849be
Related Items (16)
How to prove that a sequence is not automatic ⋮ Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus ⋮ Analytic continuation of Dirichlet series with almost periodic coefficients ⋮ On completely multiplicative automatic sequences ⋮ The asymptotic distribution of elements in automatic sequences ⋮ (Non)Automaticity of number theoretic functions ⋮ A one-parameter family of Dirichlet series whose coefficients are Sturmian words ⋮ Unnamed Item ⋮ The zeta-regularized product of odious numbers ⋮ Averages of automatic sequences ⋮ Transcendental Infinite Products Associated with the $\pm 1$ Thue-Morse Sequence ⋮ A central limit theorem for integer partitions ⋮ Subword complexity and non-automaticity of certain completely multiplicative functions ⋮ Three notes on Ser's and Hasse's representations for the zeta-functions ⋮ Asymptotic analysis of regular sequences ⋮ INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
Cites Work
- Finite automata in number theory
- Folds!
- The ring of \(k\)-regular sequences
- Dirichlet Series and Curious infinite Products
- De nouveaux curieux produits infinis
- Infinite Products Associated with Counting Blocks in Binary Strings
- Completely q-multiplicative functions: the Mellin transform approach
- Multiplicative Functions with Non-Decreasing Normal Order
- Uniform tag sequences
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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