Collins Russian Dictionary 2nd Edition © HarperCollins Publishers 2000, 1997:
request [rɪˈkwɛst] n (polite demand) про́сьба; (formal demand) зая́вка#
vt
to request sth of or from sbпроси́ть*(попроси́ть*perf) что-н у кого́-н
at the request of по про́сьбе +gen (formal) по зая́вке +gen
"you are requested not to smoke" "про́сим не кури́ть"
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.