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An explicit Hecke's bound and exceptions of even unimodular quadratic forms

Published online by Cambridge University Press:  17 April 2009

Kok Seng Chua
Kok Seng Chua
Affiliation:
Institute of High Performance Computing, High End Computing Division, 1 Scenic Park Rd, #01–01 The Capricorn, Singapore Science Park II, Singapore 117528, e-mail: chuaks@inhpc.nus.edu.sg
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Abstract

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We prove an explicit Hecke's bound for the Fourier coefficients of holomorphic cusp forms for SL2(Z) and apply it to derive effectively computable constants c (m) for each dimension m, divisible by 8, for which every even integer is always represented by every even unimodular form of m variables.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 231 - 238
Copyright
Copyright © Australian Mathematical Society 2002

References

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