I build a page following this https://www.odoo.com/documentation/9.0/api_integration.html

$models->execute_kw($db, $uid, $password, 
    'product.product', 'search_read', 

    array(array(array('supplier_id', '=', 13))),

    array('fields'=>array('name','supplier_id')));

but the filter does not filter my results, i obtain something like :

{
    ["id"]=> int(81)
    ["supplier_id"]=>
      array(2) { 
          [0]=> int(25) 
          [1]=> string(11) "a supplier name" 
    } 
    ["name"]=> string(32) "a product name" 
} 

How must I set the filter to obtain only this products from a supplier with a specific int ou a specific name ?

Thanks for help