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Least zero of a cubic form

• Authors : Xiao, Yixiu; Li, Hongze

Subjects: Mathematics - Number Theory; Number Theory (math.NT)

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Efficient $(3,3)$-isogenies on fast Kummer surfaces

• Authors : Corte-Real Santos, Maria; Costello, Craig; Smith, Benjamin ...

Subjects: Isogeny; kummer surfaces; genus-2 curves

• Source: ISSN: 2363-9555 ; Research in Number Theory ; https://inria.hal.science/hal-04433463 ; Research in

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Finiteness property in Cantor real numeration systems

• Authors : Masáková, Zuzana; Pelantová, Edita; Studeničová, Katarína

Subjects: Mathematics - Dynamical Systems; Combinatorics (math.CO), Discrete Mathematics (cs.DM), Number Theory (math.NT)

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A Formalization of Complete Discrete Valuation Rings and Local Fields

• Authors : de Frutos-Fernández, María Inés; Nuccio Mortarino Majno Di Capriglio, Filippo Alberto Edoardo;

Subjects: Logic and verification; Proof theory formal mathematics; LeanLondon; United Kingdom

• Source: 13th ACM SIGPLAN International Conference on Certified Programs and Proofs (CPP ’24)https://ujm.hal.science/ujm-0422261013th ACM SIGPLAN International Conference on Certified Programs

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Fractal Complex Dimensions and Cohomology of the Weierstrass Curve

• Authors : David, Claire; Lapidus, Michel, L;

Subjects: Weierstrass Curve; best Hölder exponent; reverse Hölder continuity

• Source: From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz ; https://hal.science/hal-03797595 ; From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, 2,

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Les $E$-fonctions et $G$-fonctions de Siegel

• Authors : Rivoal, Tanguy;

Subjects: $E$-fonctions; $G$-fonctions; Approximants de Padé

• Source: Périodes et transcendance, Journées Mathématiques X-UPS 2019 ; https://hal.science/hal-03807479 ; Les Éditions de l'École Polytechnique. Périodes et transcendance, Journées Mathématiques X-UPS

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INTRODUCTION TO THE MODULAR METHOD

• Authors : Billerey, Nicolas;

Subjects: Modular method; Diophantine equations; Galois representations

• Source: Modularity and Generalized Fermat's Equation ; https://hal.science/hal-04421125 ; Modularity and Generalized Fermat's Equation, 2024

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The supersingular Endomorphism Ring and One Endomorphism problems are equivalent ; Les problèmes Anneau des endomorphismes et Un endomorphisme supersinguliers sont équivalents

• Authors : Page, Aurel; Wesolowski, Benjamin;

Subjects: Isogeny-based cryptography; Isogeny Graphs; Endomorphism ringZurich (CH); Switzerland

• Source: Advances in Cryptology -- EUROCRYPT 2024 ; https://inria.hal.science/hal-04209824 ; Advances in Cryptology -- EUROCRYPT 2024, May 2024, Zurich (CH), Switzerland. pp.388-417,

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Pointwise and correlation bounds on Dedekind sums over small subgroups

• Authors : Borda, Bence; Munsch, Marc; Shparlinski, Igor ...

Subjects: Number Theory (math.NT); FOS: Mathematics; 11F20

• Source: https://hal.science/hal-04425134 ; 2024.

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Mahler's method in several variables and finite automata

• Authors : Adamczewski, Boris; Faverjon, Colin;

Subjects: Mahler's method; Transcendance; Finite Automata

• Source: ISSN: 0003-486X ; Annals of Mathematics ; https://hal.science/hal-04763287 ; Annals of Mathematics, In press.

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