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Line 18: {{main\|Overconvergent form}} Overconvergent ''p''-adic modular forms are similar to the modular forms defined by Katz, except that the form has to be defined on a larger collection of elliptic curves. ~~ROughly~~Roughly speaking, the value of the [[Eisenstein series]] ''E''<sub>''k''–1</sub> on the form is no longer required to be invertible, but can be a smaller element of ''R''. Informally the series for the modular form converges on this larger collection of elliptic curves, hence the name "overconvergent". ==References==

P-adic modular form: Difference between revisions