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p-adic Arakelov theory

Mathematics – Number Theory
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p-adic Banach modules of arithmetical modular forms and triple products of Coleman's families

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p-adic boundary values

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p-adic congruences motivated by series

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p-adic Dedekind and Hardy-Berndt type sum related to Volkenborn Integral on Z_p

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p-adic Differential Operators on Automorphic Forms on Unitary Groups

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p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure

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p-adic families of Galois representations and higher rank Selmer groups

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P-adic family of half-integral weight modular forms via overconvergent Shintani lifting

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p-adic Fourier Theory

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p-adic height pairings on abelian varieties with semistable ordinary reduction

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p-adic Hodge-theoretic properties of étale cohomology with mod p coefficients, and the cohomology of Shimura varieties

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p-adic interpolating function associated with modified Dirichlet's type of twisted q-euler numbers and polynomials with weight alpha

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P-adic interpolation of metaplectic forms of cohomological type

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p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication

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p-adic l-functions and sums of powers

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p-adic logarithms for polynomial dynamics

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p-adic measures and square roots of triple product L-functions

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p-adic meromorphic functions f'P'(f), g'P'(g) sharing a small function

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p-adic modular forms of non-integral weight over Shimura curves

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