Modular form: Difference between revisions

Content deleted Content added
Examples: Better to have them in just one section.
Examples: More compact
Line 60:
:<math>G_k(\Lambda) = \sum_{0 \neq\lambda\in\Lambda}\lambda^{-k}.</math>
 
Then {{mvar|G<sub>k</sub>}} is a modular form of weight {{mvar|k}}. For {{math|Λ {{=}} '''Z''' + '''Z'''''τ''}} we have
 
For {{math|Λ {{=}} '''Z''' + '''Z'''''τ''}} we have
 
:<math>G_k(\Lambda) = G_k(\tau) = \sum_{ (0,0) \neq (m,n)\in\mathbf{Z}^2} \frac{1}{(m + n \tau)^k},</math>