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Timeline for Why are modular forms interesting?

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Feb 8, 2017 at 4:48 comment added Timothy Chow We can now add that Viazovska's proof of the optimality of the $E_8$ sphere packing demonstrates the relevance of modular forms to the completely elementary topic of sphere packing.
Nov 19, 2016 at 8:03 history edited evgeny CC BY-SA 3.0
n meant two things: dimension of R^n and summation parameter
May 14, 2010 at 17:59 comment added Qiaochu Yuan One can generalize this relationship to lattices which are not necessarily even, but one has to take more general kinds of modular forms. Probably the most classical application of this idea is the formula for the number of ways to represent a positive integer as the sum of four squares (one writes down the theta function of Z^4 and then relates it to other modular forms of the same weight and congruence subgroup).
May 14, 2010 at 16:30 history answered Dan Piponi CC BY-SA 2.5