Displaying similar documents to “On the lower order ( R ) of an entire Dirichlet series”

On entire functions represented by Dirichlet series. IV

Pawan Kumar Kamthan (1966)

Annales de l'institut Fourier

Similarity:

Dans cet article, on démontre quelques théorèmes nouveaux relatifs aux fonctions entières f ( s ) sommes de séries de Dirichlet ; ces résultats sont relatifs, en particulier, aux dérivées de f ( s ) et à une généralisation de la formule de Poisson.

On the almost Goldbach problem of Linnik

Jianya Liu, Ming-Chit Liu, Tianze Wang (1999)

Journal de théorie des nombres de Bordeaux

Similarity:

Under the Generalized Riemann Hypothesis, it is proved that for any k ≥ 200 there is N k > 0 depending on k only such that every even integer ≥ N k is a sum of two odd primes and k powers of 2 .

Extremal values of Dirichlet L -functions in the half-plane of absolute convergence

Jörn Steuding (2004)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We prove that for any real θ there are infinitely many values of s = σ + i t with σ → 1 + and t → + ∞ such that ℜ { exp ( i θ ) log L ( s , χ ) } ≥ log log log log t log log log log t + O ( 1 ) . The proof relies on an effective version of Kronecker’s approximation theorem.