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Arithmetic Properties of Non-Harmonic Weak Maass Forms
Kathrin Bringmann and David Penniston
Proceedings of the American Mathematical Society
Vol. 137, No. 3 (Mar., 2009), pp. 825-833
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20535805
Page Count: 9
You can always find the topics here!Topics: Mathematical functions, Integers, Eigenvalues, Coefficients, Mathematical congruence, Arithmetic, Numbers, Algebra, Mathematical theorems
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We prove the existence of an infinite family of non-harmonic weak Maass forms of varying weights and Laplace eigenvalues having algebraic coefficients, and show that the coefficients of these forms satisfy congruences of Ramanujan type.
Proceedings of the American Mathematical Society © 2009 American Mathematical Society