There are different options you can consider, but only you can decide which one you are most comfortable with. The first would be to include your screen name in the description of the book(s). For example, you could include a statement that some of the content was originally published on your blog or other sites using the screen name of Yamikuronue.
Another option would be to list the author's name as your own name, writing as Yamikuronue. For example, if your real name was Tom Jones, you would list the author as "Tom Jones, writing as Yamikuronue". Along the same vein, you could just use your screen name as a pen name, leaving it spelled exactly the same. (After all, people will be searching by that name, and not some variation of it.)
Assuming you are using Kindle Direct Publishing (KDP) to make your e-books available to the public, they have an author's interface that will allow you to list the author's name however you want it to appear on the book(s). If you choose to write some content under your own name and and other content under your screen/pen name, you can manage all from the same portal. (I'm sure other services provide the same capabilities, but KDP is the one with which I am more familiar.)
If there truly is a high probability that future readers will use your screen name when looking for information from/about you, then it would definitley behoove you to include it in same way when you get around to publishing your e-books.