A walk through Ramanujan’s garden

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How researchers see this paper

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Unearthing the visions of a master: harmonic Maass forms and number theory (2008, background): “In his plenary address at the Ramanujan Centenary Conference at the University of Illinois in 1987, Freeman Dyson beautifully summed up the situation [91]: “The mock theta-functions give us tantalizing hints of a grand synthesis still to be discovered.”
Dyson’s ranks and Maass forms (2010, background): “Dyson’s quote (see page 20 of [15]) refers to 22 peculiar q-series, such as”
Partition bijections, a survey (2006, background): “He reminisced in [62] on his discovery: “I gave thanks to Ramanujan for two things, for discovering congruence properties of partitions and for not discovering the criterion for dividing them into equal classes.”
Quantum modular forms (2010, background): “In a beautiful paper by George Andrews, Freeman Dyson and Dean Hickerson [2]— the story is told in more detail in the last section of Dyson’s famous survey article [8]—several identities expressing these two q-series as theta series associated to indefinite quadratic forms were proved, thereby expla”
A framework of Rogers–Ramanujan identities and their arithmetic properties (2014, background): “giving another expression for the q-series studied by Dyson in his “A walk through Ramanujan’s Garden” [29]:”