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The Frobenius and monodromy operators for curves and abelian varieties

Mathematics – Number Theory
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The Frobenius problem, rational polytopes, and Fourier-Dedekind Sums

Mathematics – Number Theory
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The Frobenius vector of a free affine semigroup

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The functional equation for the twisted spinor L-series of genus 2

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The fundamental theorem of complex multiplication

Mathematics – Number Theory
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The Fundamental Theorem of prehomogeneous vector spaces modulo $p^m$. With an appendix "L-functions of prehomogeneous vector spaces" by Fumihiro Sato

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The Galois module structure of l-adic realizations of Picard 1-motives and applications

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The Galois structure of ambiguous ideals in cyclic extensions of degree 8

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The Gauss higher relative class number problem

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The generalized Cassels-Tate dual exact sequence for 1-motives

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The generalized Pillai equation $\pm r a^x \pm s b^y = c$

Mathematics – Number Theory
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The generalized Pillai equation $\pm r a^x \pm s b^y = c$, II

Mathematics – Number Theory
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The generalized strong recurrence for non-zero rational parameters

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The Generating Function for the Dirichlet Series $L_m(s)$

Mathematics – Number Theory
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The generating function of the $σ_1$ function

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The genus fields of Artin-Schreier extensions

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The geometric and arithmetic volume of Shimura varieties of orthogonal type

Mathematics – Number Theory
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The Geometric Bogomolov Conjecture for Small Genus Curves

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The Geometric Theta Correspondence for Hilbert Modular Surfaces

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The Global Cohen-Lenstra Heuristic

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