Zinc in inorganic acid: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=696079
Zinc in waste water after removal of organics: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=696997
Zinc in water samples: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=693051
Zinc in water: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=692744
Manganese in drinking water: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=696096
Manganese in triphosphate: http://partners.metrohm.com/GetDocument?action=get_dms_document&docid=697001
Search yourself on the application finder of Metrohm, searching for the analyte and polarography/voltammetry, and you will find all available methods (application notes are short notices, application bulletins are long descriptions): http://www.metrohm.com/en/applications/#
Both zinc and manganese can be determined by relatively simple anodic stripping voltammetry, but manganese requires an alkaline testing solution.