Independence of Hecke zeta functions of finite order over normal fields
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Publication:3420405
DOI10.1090/S0002-9947-06-04078-5zbMath1159.11034MaRDI QIDQ3420405
Publication date: 1 February 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
oscillationsfunctional independenceHecke zeta functionsHilbert semigroupfactorizations of distinct length
Units and factorization (11R27) Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Zeta functions and (L)-functions of number fields (11R42)
Related Items (2)
Algebraic independence of logarithmic singularities of some complex functions ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions.
Cites Work
- Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
- Oscillations of error terms associated with certain arithmetical functions
- Some remarks on factorization in algebraic number fields
- Finite abelian groups and factorization problems
- Remarks on factorizations in algebraic number fields
- Functional independence of the singularities of a class of Dirichlet series
- On c-semigroups
- Half factorial domains
- Factorizations of distinct lengths in algebraic number fields
- On the distribution of algebraic numbers with prescribed factorization properties
- On the asymptotic behavior of some counting functions
- Congruence monoids
- A Characterization of Algebraic Number Fields with Class Number Two
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