Hi,
The Search API only keeps it's index for about a week so searches older than
that are not possible. To perform analysis of Tweets like you ask you will
can monitor them as they happen through the Streaming API. Alternatively
some third party services maybe able to offer this information.
Best
If I want to get tweet counts (for a particular query) by date over a
particular date range, does the search API support? Is the date range
limited to the tight range that is in place for search that returns
tweets?
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Twitter developer documentation and resources: https://dev.twitter.com/doc
API
