A non-standard Fourier expansion for the Drinfeld discriminant function
✍ Scribed by Bartolomé López
- Book ID
- 105755999
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 157 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
In this work, we study the expansion of a product function U related to the Drinfeld discriminant 2(z); U is the analogue of the classical '-function. The main result is the formula given in Theorem 3.1. From this formula, we derive the fact that the expansion of U is lacunary for q>2 (Theorem 3.3)
A new iterative method to compute the Green's function for continuum systems is presented. It is based on a Newton polynomial expansion of the corresponding propagator, followed by accurate half-Fourier transformation. The new technique is remarkably stable, accurate and can handle very large system