대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제35권1호
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  • Pages.63-81
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  • 2020
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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IDENTITIES ABOUT LEVEL 2 EISENSTEIN SERIES

  • Xu, Ce (School of Mathematical Sciences Xiamen University)
  • 투고 : 2018.12.20
  • 심사 : 2019.05.16
  • 발행 : 2020.01.31
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초록

In this paper we consider certain classes of generalized level 2 Eisenstein series by simple differential calculations of trigonometric functions. In particular, we give four new transformation formulas for some level 2 Eisenstein series. We can find that these level 2 Eisenstein series are reducible to infinite series involving hyperbolic functions. Moreover, some interesting new examples are given.

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참고문헌

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