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Author: William A. Stein
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@incollection{bernardi,
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AUTHOR = {Bernardi, Dominique},
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TITLE = {Hauteur {$p$}-adique sur les courbes elliptiques},
5
BOOKTITLE = {Seminar on Number Theory, Paris 1979--80},
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SERIES = {Progr. Math.},
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VOLUME = {12},
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PAGES = {1--14},
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PUBLISHER = {Birkh\"auser Boston},
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YEAR = {1981}}
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@incollection{bertrand,
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AUTHOR = {Bertrand, Daniel},
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TITLE = {Valuers de fonctions th{\^e}ta et hauteur {$p$}-adiques},
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BOOKTITLE = {Seminar on Number Theory, Paris 1980-81},
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SERIES = {Progr. Math.},
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VOLUME = {22},
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PAGES = {1--11},
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PUBLISHER = {Birkh\"auser Boston},
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YEAR = {1982}}
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@article {cassels,
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AUTHOR = {Cassels, J. W. S.},
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TITLE = {Arithmetic on curves of genus 1. {VIII}. {O}n conjectures of
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{B}irch and {S}winnerton-{D}yer},
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JOURNAL = {J. Reine Angew. Math.},
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VOLUME = {217},
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YEAR = {1965},
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PAGES = {180--199}}
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@article{coatessujathafine,
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AUTHOR = {Coates, John and Sujatha, Ramdorai},
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TITLE = {Fine {Selmer} groups of elliptic curves over $p$-adic {Lie} extensions},
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JOURNAL = {Math. Ann.},
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YEAR = {2005},
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NUMBER = {4},
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PAGES = {809 -- 839}}
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@book{coatessujatha,
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AUTHOR = {Coates, John and Sujatha, Ramdorai},
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TITLE = {Galois cohomology of elliptic curves},
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SERIES = {Tata Institute of Fundamental Research Lectures on Mathematics},
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VOLUME = {88},
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PUBLISHER = {Narosa Publishing House},
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YEAR = {2000}}
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@article {colmez,
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AUTHOR = {Colmez, Pierre},
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TITLE = {La conjecture de {B}irch et {S}winnerton-{D}yer {$p$}-adique},
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JOURNAL = {Ast\'erisque},
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FJOURNAL = {Ast\'erisque},
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NUMBER = {294},
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YEAR = {2004},
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PAGES = {ix, 251--319}}
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@unpublished {colmezlinvariant,
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AUTHOR = {Colmez, Pierre},
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TITLE = {Invariants $\mathscr{L}$ et d\'eriv\'ees de valeurs propres de {Frobenius}},
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YEAR = {2004},
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NOTE = {preprint}}
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@book {cremona,
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AUTHOR = {Cremona, John E.},
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TITLE = {Algorithms for modular elliptic curves},
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EDITION = {Second},
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PUBLISHER = {Cambridge University Press},
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YEAR = {1997}}
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@article {delbourgo02,
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AUTHOR = {Delbourgo, Daniel},
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TITLE = {On the {$p$}-adic {B}irch, {S}winnerton-{D}yer conjecture for
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non-semi\-stable reduction},
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JOURNAL = {J. Number Theory},
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VOLUME = {95},
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YEAR = {2002},
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NUMBER = {1},
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PAGES = {38--71}}
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@article {delbourgo98,
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AUTHOR = {Delbourgo, Daniel},
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TITLE = {Iwasawa theory for elliptic curves at unstable primes},
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JOURNAL = {Compositio Math.},
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VOLUME = {113},
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YEAR = {1998},
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NUMBER = {2},
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PAGES = {123--153}}
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@article{grvat,
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AUTHOR = {Greenberg, Ralph and Vatsal, Vinayak},
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TITLE = {On the {I}wasawa invariants of elliptic curves},
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JOURNAL = {Invent. Math.},
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VOLUME = {142},
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YEAR = {2000},
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NUMBER = {1},
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PAGES = {17--63}}
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@article {grste,
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AUTHOR = {Greenberg, Ralph and Stevens, Glenn},
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TITLE = {{$p$}-adic {$L$}-functions and {$p$}-adic periods of modular
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forms},
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JOURNAL = {Invent. Math.},
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FJOURNAL = {Inventiones Mathematicae},
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VOLUME = {111},
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YEAR = {1993},
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NUMBER = {2},
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PAGES = {407--447}}
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@phdthesis{grigorov,
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AUTHOR = {Grigorov, Grigor Tsankov},
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TITLE = {Kato's {Euler} {System} and the {Main} {Conjecture}},
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YEAR = {2005},
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SCHOOL = {Harvard University}}
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@article {jones95,
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AUTHOR = {Jones, John W.},
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TITLE = {Iwasawa {$L$}-functions of elliptic curves with additive
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reduction},
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JOURNAL = {J. Number Theory},
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FJOURNAL = {Journal of Number Theory},
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VOLUME = {51},
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YEAR = {1995},
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NUMBER = {1},
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PAGES = {103--117}}
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@incollection {jones91,
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AUTHOR = {Jones, John W.},
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TITLE = {Iwasawa {$L$}-functions and the mysterious {${\scr
131
L}$}-invariant},
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BOOKTITLE = {$p$-adic monodromy and the Birch and Swinnerton-Dyer
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conjecture (Boston, MA, 1991)},
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SERIES = {Contemp. Math.},
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VOLUME = {165},
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PAGES = {63--70},
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PUBLISHER = {Amer. Math. Soc.},
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ADDRESS = {Providence, RI},
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YEAR = {1994}}
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@article {jones89,
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AUTHOR = {Jones, John W.},
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TITLE = {Iwasawa {$L$}-functions for multiplicative abelian varieties},
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JOURNAL = {Duke Math. J.},
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VOLUME = {59},
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YEAR = {1989},
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NUMBER = {2},
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PAGES = {399--420}}
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@article {jones90,
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AUTHOR = {Jones, John W.},
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TITLE = {{$p$}-adic heights for semi-stable abelian varieties},
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JOURNAL = {Compositio Math.},
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YEAR = {1990},
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NUMBER = {1},
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PAGES = {31--56}}
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@incollection{kato,
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AUTHOR = {Kato, Kazuya},
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BOOKTITLE = {Cohomologies {$p$}-adiques et application arithm\'etiques. {III}},
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SERIES = {Ast\'erisque},
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VOLUME = {295},
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TITLE = {{$p$}-adic {Hodge} theory and values of zeta functions of modular forms},
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PUBLISHER = {Soci\'et\'e Math\'ematique de France},
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ADDRESS = {Paris},
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YEAR = {2004}}
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@unpublished{kkt,
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AUTHOR = {Kato, Kazuya and Kurihara, Masato and Tsuji, Takeshi},
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TITLE = {Local {Iwasawa} theory of {Perrin}-{Riou} and syntomic complexes},
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NOTE = {preprint},
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YEAR = {1996}}
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@unpublished{kuriharapollack,
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AUTHOR = {Kurihara, Masato and Pollack, Robert},
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TITLE = {Two $p$-aidc {$L$}-functions and rational ponts on elliptic curves with supersingular reduction},
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YEAR = {2005},
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NOTE = {preprint}}
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@article {kobayashi,
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AUTHOR = {Kobayashi, Shin-ichi},
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TITLE = {Iwasawa theory for elliptic curves at supersingular primes},
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JOURNAL = {Invent. Math.},
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FJOURNAL = {Inventiones Mathematicae},
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VOLUME = {152},
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YEAR = {2003},
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NUMBER = {1},
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PAGES = {1--36}}
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@unpublished {koblp,
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AUTHOR = {Kobayashi, Shin-ichi},
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TITLE = {An elementary proof of the {Mazur}-{Tate}-{Teitelbaum} conjecture for elliptic curves},
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YEAR = {2005},
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NOTE = {preprint}}
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@article {manin,
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AUTHOR = {Manin, Ju. I.},
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TITLE = {Parabolic points and zeta functions of modular curves},
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JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
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AUTHOR = {Mazur, Barry and Tate, John},
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AUTHOR = {Mazur, Barry and Tate, John and Teitelbaum, J.},
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TITLE = {On {$p$}-adic analogues of the conjectures of {B}irch and {S}winnerton-{D}yer},
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@unpublished{mst,
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AUTHOR = {Mazur, Barry and Stein, William and Tate John},
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TITLE = {Computation of $p$-adic {Heights} and {Log} {Convergence}},
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YEAR = {2005},
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NOTE = {preprint}}
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@article{pr82,
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Descente infinie et hauteur {$p$}-adique sur les courbes elliptiques \`a multiplication complexe},
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Fonctions {$L$} {$p$}-adiques, th\'eorie d'{I}wasawa et points de {H}eegner},
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NUMBER = {4},
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PAGES = {399--456}}
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@article{prfourier93,
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Fonctions {$L$} {$p$}-adiques d'une courbe elliptique et points rationnels},
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PAGES = {945--995}}
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@article{prcol,
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Th\'eorie d'{I}wasawa des repr\'esentations {$p$}-adiques sur un corps local},
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NOTE = {With an appendix by Jean-Marc Fontaine},
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AUTHOR = {Bernardi, Dominique and Perrin-Riou, Bernadette},
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TITLE = {Variante {$p$}-adique de la conjecture de {B}irch et {S}winnerton-{D}yer (le cas supersingulier)},
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JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
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YEAR = {1993},
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NUMBER = {3},
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PAGES = {227--232}}
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@article{prasterisque,
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Fonctions {$L$} {$p$}-adiques des repr\'esentations {$p$}-adiques},
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YEAR = {1995},
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PAGES = {198}}
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@article{pr00,
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AUTHOR = {Perrin-Riou, Bernadette},
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TITLE = {Arithm\'etique des courbes elliptiques \`a r\'eduction supersinguli\`ere en {$p$}},
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@article{pollack,
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VOLUME = {118},
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@book {sil,
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