Twenty Thirteen Theme – can't use register_sidebar in child theme

I’m using 3.6 beta4 on my yet-to-be-launched site: http://rohitpalit.com

I’m also using the ‘Twenty Thirteen’ theme.

The problem is very simple actually. I don’t want the traditional footer (containing ‘main’ sidebar widgets) to appear in the homepage (static). I want it to appear on every other single page.

So, essentially, it’d be really wise, IMO, to create a different sidebar or footer for that specific page (static homepage). When I try to do that from the child theme and use child’s functions.php to register the new sidebar, it doesn’t work. Shows the code when the website is opened. However, I was successfully able to register it from within the default functions.php

Here’s what the code looks like in the functions.php of Twenty Thirteen:

function twentythirteen_widgets_init() {
	register_sidebar( array(
		'name'          => __( 'Main Widget Area', 'twentythirteen' ),
		'id'            => 'sidebar-1',
		'description'   => __( 'Appears in the footer section of the site', 'twentythirteen' ),
		'before_widget' => '<aside id="%1$s" class="widget %2$s">',
		'after_widget'  => '</aside>',
		'before_title'  => '<h3 class="widget-title">',
		'after_title'   => '</h3>',
	) );

	register_sidebar( array(
		'name'          => __( 'Secondary Widget Area', 'twentythirteen' ),
		'id'            => 'sidebar-2',
		'description'   => __( 'Appears on posts and pages in the sidebar.', 'twentythirteen' ),
		'before_widget' => '<aside id="%1$s" class="widget %2$s">',
		'after_widget'  => '</aside>',
		'before_title'  => '<h3 class="widget-title">',
		'after_title'   => '</h3>',
	) );
        }

And I try to add this in the functions.php of the child theme:

function twentythirteen_widgets_init() {
	register_sidebar( array(
		'name'          => __( 'Main Widget Area', 'twentythirteen' ),
		'id'            => 'sidebar-1',
		'description'   => __( 'Appears in the footer section of the site', 'twentythirteen' ),
		'before_widget' => '<aside id="%1$s" class="widget %2$s">',
		'after_widget'  => '</aside>',
		'before_title'  => '<h3 class="widget-title">',
		'after_title'   => '</h3>',
	) );
        }

I’d really love if this works for real. If anyone can tell me an alternative way to achieve what I want, I’d be grateful as well. I need the footer not to show any widget on the blog homepage only but it does NEED to be present. I can remove the <?php get_sidebar( 'main' ); ?> part from footer.php but that affects all the pages. I hope someone will come up with a solution.