Number Theory and Modular Forms
Papers in Memory of Robert A. Rankin
1st Edition
Published on 30. November 2003
Book
Hardback
400 pages
978-1-4020-7615-2 (ISBN)
Description
Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of
The Ramanujan Journal,
died on January 27, 2001, at the age of 85. 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. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics.
This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
More details
Series
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
400 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 27 mm
Weight
781 gr
ISBN-13
978-1-4020-7615-2 (9781402076152)
DOI
10.1007/978-1-4757-6044-6
Schweitzer Classification
Other editions
Additional editions
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
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.