Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory.

The Life and Work of R.A. Rankin (1915–2001).- Memoir: My Cambridge Years.- The De Morgan Medal.- On the Petersson Norm of Certain Siegel Modular Forms.- On Borcherds Products Associated with Lattices of Prime Discriminant.- An L-Function of Degree 27 for Spin9.- Representations of Integers as Sums of 32 Squares.- Some Remarks on Signs in Functional Equations.- On Dirichlet Series for Sums of Squares.- Poincaré Series and Hilbert Modular Forms.- On Non-Congruence Subgroups of the Analogue of the Modular Group in Characteristic p.- On Modular Forms Arising from a Differential Equation of Hypergeometric Type.- A Note on Base Change, Identities Involving ?(n), and a Congruence of Ramanujan.- The Orders of Related Elements of a Finite Field.- On the Uniform Distribution of Certain Sequences.- Modular Transformations of Ramanujan’s Fifth and Seventh Order Mock Theta Functions.- Estimates for Sums of Coefficients of Dirichlet Series with Functional Equation.- Rational Points on the Sphere.- Estimating Additive Character Sums for Fuchsian Groups.- On the Signs of Fourier Coefficients of Cusp Forms.- On the Asymptotic Behaviour of General Partition Functions, II.- More Primes and Polynomials.- On the Generalized Rogers-Ramanujan Continued Fraction.- On the Parity of the Number of Partitions in Square Free Parts.- Relations Between the Ranks and Cranks of Partitions.- Perspectives de l’Approximation Diophantienne et de la Transcendance.- Partitions: At the Interface of q-Series and Modular Forms.

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