Numerical implementation of harmonic polylogarithms to weight w = 8
| Main Author: | Ballantyne, John |
|---|---|
| Other Authors: | Ablinger, J., Blümlein, J., Round, M., Schneider, C. |
| Format: | Dataset |
| Terbitan: |
Mendeley
, 2019
|
| Subjects: | |
| Online Access: |
https:/data.mendeley.com/datasets/vnc3fc79cr |
| ctrlnum |
0.17632-vnc3fc79cr.1 |
|---|---|
| fullrecord |
<?xml version="1.0"?>
<dc><creator>Ballantyne, John</creator><title>Numerical implementation of harmonic polylogarithms to weight w = 8</title><publisher>Mendeley</publisher><description>We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of ~10^{-15} or better. Using algebraic and argument relations the numerical representation can be limited to the range x in [0, sqrt(2)-1]. We provide replacement files to map all harmonic polylogarithms to a basis and the usual range of arguments to x in ]-infty, +infty [ the above interval analytically. We also briefly comment on a numerical implementation of real valued cyclotomic harmonic polylogarithms.</description><subject>Computational Physics</subject><contributor>Ablinger, J.</contributor><contributor>Blümlein, J.</contributor><contributor>Round, M.</contributor><contributor>Schneider, C.</contributor><type>Other:Dataset</type><identifier>10.17632/vnc3fc79cr.1</identifier><rights>Attribution-NonCommercial 3.0 Unported</rights><rights>https://creativecommons.org/licenses/by-nc/3.0</rights><relation>https:/data.mendeley.com/datasets/vnc3fc79cr</relation><date>2019-05-03T08:23:00Z</date><recordID>0.17632-vnc3fc79cr.1</recordID></dc>
|
| format |
Other:Dataset Other |
| author |
Ballantyne, John |
| author2 |
Ablinger, J. Blümlein, J. Round, M. Schneider, C. |
| title |
Numerical implementation of harmonic polylogarithms to weight w = 8 |
| publisher |
Mendeley |
| publishDate |
2019 |
| topic |
Computational Physics |
| url |
https:/data.mendeley.com/datasets/vnc3fc79cr |
| contents |
We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of ~10^{-15} or better. Using algebraic and argument relations the numerical representation can be limited to the range x in [0, sqrt(2)-1]. We provide replacement files to map all harmonic polylogarithms to a basis and the usual range of arguments to x in ]-infty, +infty [ the above interval analytically. We also briefly comment on a numerical implementation of real valued cyclotomic harmonic polylogarithms. |
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IOS7969.0.17632-vnc3fc79cr.1 |
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Universitas Islam Indragiri |
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onesearch.perpusnas.go.id |
| institution_id |
804 |
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library:university library |
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Teknologi Pangan UNISI |
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2816 |
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Artikel mulono |
| repository_id |
7969 |
| city |
INDRAGIRI HILIR |
| province |
RIAU |
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1 |
| repoId |
IOS7969 |
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2020-04-08T08:19:26Z |
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2020-04-08T08:19:26Z |
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dc |
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1686587543887282176 |
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17.538404 |