Title | Number Theory and Modular Forms [electronic resource] : Papers in Memory of Robert A. Rankin / edited by Bruce Berndt, Ken Ono |
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Imprint | Boston, MA : Springer US : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-6044-6 |
Descript | 400 p. online resource |
The Life and Work of R.A. Rankin (1915โ2001) -- 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 -- Poincarรฉ 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 Ramanujanโs 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 lโApproximation Diophantienne et de la Transcendance -- Partitions: At the Interface of q-Series and Modular Forms