Identities about level 2 Eisenstein series. (English) Zbl 1456.11048
Summary: 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.
MSC:
| 11F03 | Modular and automorphic functions |
| 11F11 | Holomorphic modular forms of integral weight |
| 33B10 | Exponential and trigonometric functions |
References:
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