FACTORIALS AND THE RAMANUJAN FUNCTION
FACTORIALS AND THE RAMANUJAN FUNCTION
Abstract In 2006, F. Luca and I. E. Shparlinski ( Proc. Indian Acad. Sci. (Math. Sci.) 116 (1) (2006), 1–8) proved that there are only finitely many pairs ( n , m ) of positive integers which satisfy the Diophantine equation |τ( n !)|= m !, where τ is the …