About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 81. Chapters: Hypergeometric functions, Modular forms, Elliptic function, Langlands program, Meijer G-function, Frobenius solution to the hypergeometric equation, Mock modular form, Generalized hypergeometric function, Weierstrass's elliptic functions, Modular group, Theta function, Kleinian group, Arthur-Selberg trace formula, Confluent hypergeometric function, Shimura variety, Appell series, J-invariant, Eisenstein series, Modular curve, Modularity theorem, Binomial transform, Basic hypergeometric series, Tau-function, Classical modular curve, Automorphic form, Fundamental pair of periods, Lauricella hypergeometric series, Langlands group, Schwarz's list, Hecke operator, Congruence subgroup, Hard hexagon model, Schwarzian derivative, Ribet's theorem, Elliptic hypergeometric series, Fundamental lemma, Dedekind eta function, Bilateral hypergeometric series, Legendre function, Real analytic Eisenstein series, Dedekind sum, Serre conjecture, MacRobert E function, Siegel modular form, Hypergeometric function of a matrix argument, Lax pair, Humbert series, Riemann's differential equation, Rogers-Ramanujan continued fraction, Picard-Fuchs equation, Dixon's identity, Cusp form, Rogers-Ramanujan identities, Ramanujan-Petersson conjecture, Multiplicity-one theorem, Barnes integral, Upper half-plane, Poincare series, Modular lambda function, Automorphic factor, Hilbert modular form, Factor of automorphy, Quantum ergodicity, Kronecker limit formula, Petersson inner product, Atkin-Lehner theory, Fox H-function, Endoscopic group, Horn function, Jacobi form, Jacquet-Langlands correspondence, Kirillov model, Maass wave form, Converse theorem, Askey-Wilson polynomials, Eisenstein ideal, Eichler-Shimura congruence relation, Whittaker model, Lemniscatic elliptic function, Equianharmonic, Elliptic unit, Overconvergent modular form, Koecher-Maass s...