Banerjee, SoumyarupSoumyarupBanerjeeKane, BenBenKane2025-08-312025-08-312022-11-0110.1090/tran/86632-s2.0-85139563829https://d8.irins.org/handle/IITG2025/25879In this paper we study diagonal quadratic forms which are universal when restricted to almost prime inputs, establishing finiteness theorems akin to the Conway–Schneeberger 15 theorem.true15-theorem | almost prime numbers | Sums of squaresFINITENESS THEOREMS FOR UNIVERSAL SUMS OF SQUARES OF ALMOST PRIMESArticle108868507669-77141 November 20222arJournal2