general Dirichlet series

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:citation gptkb:Encyclopedia_of_Mathematics
gptkbp:convergesTo Re(s) > \sigma_c (abscissa of convergence)
gptkbp:field gptkb:mathematics
analytic number theory
gptkbp:form \sum_{n=1}^\infty a_n e^{-\lambda_n s}
gptkbp:hasSpecialCase gptkb:ordinary_Dirichlet_series
gptkbp:parameter a_n (complex coefficients)
\lambda_n (increasing sequence of real numbers)
gptkbp:relatedTo gptkb:lion
gptkbp:studiedBy gptkb:G.H._Hardy
gptkb:M._Riesz
gptkbp:usedIn complex analysis
number theory
gptkbp:variant s (complex variable)
https://www.w3.org/2000/01/rdf-schema#label general Dirichlet series