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p-adic class invariants

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Zeitschriftentitel: LMS Journal of Computation and Mathematics
Personen und Körperschaften: Bröker, Reinier
In: LMS Journal of Computation and Mathematics, 14, 2011, S. 108-126
Format: E-Article
Sprache: Englisch
veröffentlicht:
Wiley
Schlagwörter:
Computational Theory and Mathematics
General Mathematics
author_facet Bröker, Reinier
Bröker, Reinier
author Bröker, Reinier
spellingShingle Bröker, Reinier
LMS Journal of Computation and Mathematics
p-adic class invariants
Computational Theory and Mathematics
General Mathematics
author_sort bröker, reinier
spelling Bröker, Reinier 1461-1570 Wiley Computational Theory and Mathematics General Mathematics http://dx.doi.org/10.1112/s1461157009000175 <jats:title>Abstract</jats:title><jats:p>We develop a new <jats:italic>p</jats:italic>-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level.</jats:p> <i>p</i>-adic class invariants LMS Journal of Computation and Mathematics
doi_str_mv 10.1112/s1461157009000175
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imprint Wiley, 2011
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issn 1461-1570
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language English
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series LMS Journal of Computation and Mathematics
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title p-adic class invariants
title_unstemmed p-adic class invariants
title_full p-adic class invariants
title_fullStr p-adic class invariants
title_full_unstemmed p-adic class invariants
title_short p-adic class invariants
title_sort <i>p</i>-adic class invariants
topic Computational Theory and Mathematics
General Mathematics
url http://dx.doi.org/10.1112/s1461157009000175
publishDate 2011
physical 108-126
description <jats:title>Abstract</jats:title><jats:p>We develop a new <jats:italic>p</jats:italic>-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level.</jats:p>
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author Bröker, Reinier
author_facet Bröker, Reinier, Bröker, Reinier
author_sort bröker, reinier
container_start_page 108
container_title LMS Journal of Computation and Mathematics
container_volume 14
description <jats:title>Abstract</jats:title><jats:p>We develop a new <jats:italic>p</jats:italic>-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level.</jats:p>
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imprint Wiley, 2011
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physical 108-126
publishDate 2011
publishDateSort 2011
publisher Wiley
record_format ai
recordtype ai
series LMS Journal of Computation and Mathematics
source_id 49
spelling Bröker, Reinier 1461-1570 Wiley Computational Theory and Mathematics General Mathematics http://dx.doi.org/10.1112/s1461157009000175 <jats:title>Abstract</jats:title><jats:p>We develop a new <jats:italic>p</jats:italic>-adic algorithm to compute the minimal polynomial of a class invariant. Our approach works for virtually any modular function yielding class invariants. The main algorithmic tool is modular polynomials, a concept which we generalize to functions of higher level.</jats:p> <i>p</i>-adic class invariants LMS Journal of Computation and Mathematics
spellingShingle Bröker, Reinier, LMS Journal of Computation and Mathematics, p-adic class invariants, Computational Theory and Mathematics, General Mathematics
title p-adic class invariants
title_full p-adic class invariants
title_fullStr p-adic class invariants
title_full_unstemmed p-adic class invariants
title_short p-adic class invariants
title_sort <i>p</i>-adic class invariants
title_unstemmed p-adic class invariants
topic Computational Theory and Mathematics, General Mathematics
url http://dx.doi.org/10.1112/s1461157009000175