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Experimental Number Theory, Part I : Tower Arithmetic

Mathematics – Number Theory
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Experiments with zeta zeros and Perron's formula

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Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros

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Explicit bounds for rational points near planar curves and metric Diophantine approximation

Mathematics – Number Theory
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Explicit bounds for sums of squares

Mathematics – Number Theory
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Explicit calculations of automorphic forms for definite unitary groups

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Explicit Chabauty over Number Fields

Mathematics – Number Theory
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Explicit Class Field Theory for global function fields

Mathematics – Number Theory
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Explicit classification for torsion subgroups of rational points of elliptic curves

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Explicit CM-theory for level 2-structures on abelian surfaces

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Explicit Coleman integration for hyperelliptic curves

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Explicit Computation of Cusp forms via Hecke Action on Cohomology and its Complexity

Mathematics – Number Theory
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Explicit computation of Galois p-groups unramified at p

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Explicit computations of Serre's obstruction for genus 3 curves and application to optimal curves

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Explicit Construction of Self-Dual Integral Normal Bases for the Square-Root of the Inverse Different

Mathematics – Number Theory
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Explicit constructions of infinite families of MSTD sets

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Explicit constructions of RIP matrices and related problems

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Explicit Constructions of the non-Abelian $p^3$-Extensions Over $\QQ$

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Explicit Constructions of the non-Abelian $\mathbf{p^3}$-Extensions Over $\mathbf{\QQ}$

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Explicit crystalline lattices in rigid cohomology

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