There is an explanation in the WordPress Codex which I copy here for reference.
Don’t forget <?php
and ?>
<?php
function remove_more_link_scroll( $link ) {
$link = preg_replace( '|#more-[0-9]+|', '', $link );
return $link;
}
add_filter( 'the_content_more_link', 'remove_more_link_scroll' );
?>