Number Theory and Modular Forms

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.