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Number theory and modular forms : papers in memory of Robert A. Rankin

Author: Robert A Rankin; Bruce C Berndt; Ken Ono
Publisher: Boston : Kluwer Academic Publishers, ©2003.
Series: Developments in mathematics, v. 10.
Edition/Format:   Print book : EnglishView all editions and formats

Robert A Rankin is one of the world's foremost authorities on modular forms. This work collects together 25 papers reflecting Rankin's range of interests within number theory. Many of these papers  Read more...


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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert A Rankin; Bruce C Berndt; Ken Ono
ISBN: 1402076150 9781402076152
OCLC Number: 52853173
Notes: "Reprinted from special issues of the Ramanujan journal, volume 7, nos. 1/2/3; March/June/September 2003."
Description: 400 pages : illustrations ; 25 cm.
Contents: 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.- Poincare 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.
Series Title: Developments in mathematics, v. 10.
Responsibility: edited by Bruce Berndt, Ken Ono.
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