The Final Problem : An Account of the Mock Theta Functions

1936/01/01 by G. N. Watson · 24 citations
Physics and Astronomy · Mathematics · #Quantum Mechanics and Applications #History and Theory of Mathematics #Advanced Mathematical Theories

paper · doi:10.1112/jlms/s1-11.1.55

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• New polar-finite forms of generalized Euler identities for A₁⁽¹⁾-string functions and mock theta conjecture-like identities
• Renormalization and quantum modular forms, part II: Mock theta functions
• Eulerian series, zeta functions and the arithmetic of partitions
• Some new mock theta functions
• Generalized Lambert Series Identities and Applications in Rank Differences
• Congruences modulo powers of 5 for the rank parity function
• Asymptotic formulas for stacks and unimodal sequences
• Transformation of Third Order Mock Theta Functions and New q-Series Identities
• Bilateral Two-Parameter Mock Theta Functions and Related Applications
• Appell Functions for General Lattices
• Mixed order phase transition in a locally constrained exclusion process
• On the explicit construction of higher deformations of partition statistics
• c_{\rm eff} from Resurgence at the Stokes Line
• Asymptotic behavior of odd-even partitions
• Partition Identities for Ramanujan's Third Order Mock Theta Functions
• The WP - Bailey Tree and its Implications
• A note on the l-fold Bailey Lemma and Mixed Mock Modular forms
• Generating Functions of the Hurwitz Class Numbers Associated with Certain Mock Theta Functions
• Antiquantum q-series and mock theta functions
• Asymptotic formulae for Eulerian series
• Congruence properties of coefficients of the eighth order mock theta function V₀(q)
• Partitions weighted by the parity of the crank
• Asymptotic expansions, L-values and a new Quantum Modular Form