Fifteenth Algorithmic Number Theory Symposium (ANTS XV)

ISSN: 2522-0160 (Print) 2363-9555 (Online)

In this topical collection (26 articles)

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  1. Research

    Generalized class polynomials

    Marc Houben, Marco Streng Article:103
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  2. Research

    Computing zeta functions of algebraic curves using Harvey’s trace formula

    Madeleine Kyng Article:100
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  3. Research

    On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves

    Wouter Castryck, Marc Houben, Frederik Vercauteren… Article:99
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    Modular curves over number fields and ECM

    F. Morain Article:97

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    Computing newforms using supersingular isogeny graphs

    Alex Cowan Article:96

  6. Research

    A deterministic algorithm for finding r-power divisors

    David Harvey, Markus Hittmeir Article:94
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    Computing groups of Hecke characters

    Pascal Molin, Aurel Page Article:91

  8. Research

    Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings

    Nikola Adžaga, Shiva Chidambaram, Timo Keller, Oana Padurariu Article:87
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  9. Research

    2-Adic point counting on K3 surfaces

    Andreas-Stephan Elsenhans, Jörg Jahnel Article:85
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    Tabulating Carmichael numbers \(n = Pqr\) with small P

    Andrew Shallue, Jonathan Webster Article:84

  11. Research

    Rigorous computation of Maass cusp forms of squarefree level

    Andrei Seymour-Howell Article:83
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  12. Research

    Fast norm computation in smooth-degree Abelian number fields

    Daniel J. Bernstein Article:82
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  13. Research

    The relative class number one problem for function fields, I

    Kiran S. Kedlaya Article:79
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    On powerful integers expressible as sums of two coprime fourth powers

    Noam D. Elkies, Gaurav Goel Article:78

  15. Research

    Explicit isomorphisms of quaternion algebras over quadratic global fields

    Tímea Csahók, Péter Kutas, Mickaël Montessinos… Article:77
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    On the vanishing of twisted L-functions of elliptic curves over rational function fields

    Antoine Comeau-Lapointe, Chantal David, Matilde Lalin… Article:76

  17. Research

    On binary quartics and the Cassels–Tate pairing

    Tom Fisher Article:74
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    Twists of the Burkhardt quartic threefold

    Nils Bruin, Eugene Filatov Article:73

  19. Research

    Definite orthogonal modular forms: computations, excursions, and discoveries

    Eran Assaf, Dan Fretwell, Colin Ingalls, Adam Logan… Article:70
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    Research

    Explicit two-cover descent for genus 2 curves

    Daniel Rayor Hast Article:67
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