How can I create a "Next Page" link in category.php?

If you use the below code in category.php you will see the titles of your most recent posts in that category. In my Reading Settings I set the posts per page to 3. There are 5 posts in my category, and I can confirm only 3 are shown now, but I do not see any link to get the next page with the rest of the posts in this category. I figured there must be some other tag required, but I cannot find it. I’ve read the tutorials in the Codex (that’s how I built the rest of my file) and I also tried to reverse-engineer some category.php pages from other themes I’ve downloaded, but I can’t find what I need.

<?php while ( have_posts() ) : the_post(); ?>
<?php the_title(‘<h3>’, ‘</h3>’); ?>
<?php endwhile; ?>

Would someone please point me in the right direction to make “Next page” and “Previous page” links on my category pages? Thank you!