The Asymptotic Expansion of Certain Series Considered by Ramanujan

  • Ricardo Estrada
  • Ram P. Kanwal
Part of the Birkhäuser Advanced Texts book series (BAT)


The aim of the present chapter is to study the asymptotic behavior as ε → O of series of the type
$$ \sum\limits_{n = 1}^\infty {a_n \varphi (n\varepsilon )} . $$


Asymptotic Expansion Asymptotic Formula Moment Function Riemann Zeta Function Arithmetical Function 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Ricardo Estrada
    • 1
  • Ram P. Kanwal
    • 2
  1. 1.Escuela de MatemáticaUniversidad de Costa RicaSan JoséCosta Rica
  2. 2.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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