Goldbach partitions and norms of cusp forms

An integral formula for the Goldbach partitions requires uniform convergence of a complex exponential sum. The dependence of the coefficients of the series is found to be bounded by that of cusp forms. Norms may be defined for these forms on a fundamental domain of a modular group. The relation wit...

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Bibliographic Details
Main Author: Simon Brian Davis
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2019-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1152