How to know which name will have my view tpl file? Currently i have a view with the name:

name (String, 21 characters ) home_slideshow_mobile

At the same time this view content is displayed inside a block, which filename (tpl.php) should it have my template file to rewrite the content of this view?

Thanks a lot :)
https://api.drupal.org/api/views/theme!theme.inc/group/views_templates/7

See the suggestion for views templates.

If You calling a view block in your custom tpl.php use
echo views_embed_view('view_machine_name', 'block_1');
You can find out the display name by clicking the tab and check its name in the address bar of your browser: "#views-tab-block_1" gives you "block_1'.