As the name suggests,the Eka Sloki Ramayana is the whole story of Ramayana told in just one sloka/verse:
aadau raama tapovanaadi gamanam hatvaa mrugam kaanchanam
vaidehee haraNam jaTaayu maraNam sugreeva sambhaash aNam |
baalee nigrahaNam samudra taraNam lankaapuree daahanam
pashchaat raavaNa kumbhakarNa hananametaddhi raamaa yaNam
ekashlokee raamaayaNam sampoorNam ||
Once Rama went to forest, He chased the deer, Sitha was kidnapped, Jatayu was killed, There were talks with Sugreeva, Bali was killed, The sea was crossed, Lanka was burnt, And later Ravana and Kumbha karna, Were also killed. This in short is the story of Ramayanam.
Similarly we have the Eka Sloki Bhagwatam which narrates the entire Bhagwata Purana in just one sloka/verse:
Aadhou devaki devi garbha jananam, Gopi gruhe palanam, Mayaa poothana jeevithaa apaharanam, govardhanodharanam, Kamsa chedana, kouravadi hananam, kunthi sutha palanam, Ethad bhagawatham purana kaditham sri Krishna leelamrutham
Born to queen Devaki, Brought up by Gopis, Took out the life of Ogress Poothana, Lifted the Govardhana mountain, Beheaded his uncle Kamsa, Helped in killing the Kouravas, And looked after the children of Kunthi. This is in short the ancient story of Bhagawatha, Which describes the nectar like play of Lord Krishna
We also have a "Sapta Sloki Gita" and a "Chatusloki Bhagawtam" ,the later is given below:
Q1) Who are the authors of the "Eka Sloki Ramayana" and the "Eka Sloki Bhagawtam"?
Q2) What are their significance? Does it mean that reading those short verses are equivalent (in merit) to reading the respective entire texts or something of that sort?