Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1804.10043 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914517225570304 |
|---|---|
| author | Polson, Nicholas G. |
| author_facet | Polson, Nicholas G. |
| contents | Zeros of entire functions can be found using either the Fourier methods of Riemann-Polya or the Generalized Gamma Convolution (GGC) methods of Thorin-Bondesson. This connection is based on a duality between the Hadamard-Weierstrass factorisation and van Dantzig Pairs-Wald couples of random variables. We demonstrate the methodology on particular functions including the Riemann zeta and xi-functions, Ramanujan's tau function, L-functions and Gamma and Hyperbolic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_10043 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Riemann, Thorin, van Dantzig Pairs, Wald Couples and Hadamard Factorisation Polson, Nicholas G. Probability Zeros of entire functions can be found using either the Fourier methods of Riemann-Polya or the Generalized Gamma Convolution (GGC) methods of Thorin-Bondesson. This connection is based on a duality between the Hadamard-Weierstrass factorisation and van Dantzig Pairs-Wald couples of random variables. We demonstrate the methodology on particular functions including the Riemann zeta and xi-functions, Ramanujan's tau function, L-functions and Gamma and Hyperbolic functions. |
| title | Riemann, Thorin, van Dantzig Pairs, Wald Couples and Hadamard Factorisation |
| topic | Probability |
| url | https://arxiv.org/abs/1804.10043 |