As long as you have e-mail order notifications enabled in your Notification Preferences, Amazon Payments will send you a notice every time a new order is placed.
If you are no longer receiving these e-mails, you should make sure that:
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E-mail order notifications are still enabled in your Notification Preferences found in the Settings drop-down menu.
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You have received new orders since the e-mails stopped coming.
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Any firewall or anti-spam software you have installed is not blocking these e-mails.