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Publications [#243561] of Heekyoung Hahn

Papers Published

  1. Hahn, H, Eisenstein series associated with Γ0(2), Ramanujan Journal, vol. 15 no. 2 (February, 2008), pp. 235-257 [doi]
    (last updated on 2021/06/16)

    Abstract:
    In this paper, we define the normalized Eisenstein series P, e, and Q associated with Γ (2), and derive three differential equations satisfied by them from some trigonometric identities. By using these three formulas, we define a differential equation depending on the weights of modular forms on Γ (2) and then construct its modular solutions by using orthogonal polynomials and Gaussian hypergeometric series. We also construct a certain class of infinite series connected with the triangular numbers. Finally, we derive a combinatorial identity from a formula involving the triangular numbers. © 2008 Springer Science+Business Media, LLC. 0 0

 

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