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003 RPAM
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006 ma b 000 0
007 cr/|||||||||||
008 140928s2005 riua ob 000 0 eng
020 _a9781470404208 (online)
040 _aDLC
_cDLC
_dDLC
_dRPAM
050 0 0 _aQA3
_b.A57 no. 819
_aQA242.5
082 0 0 _a510 s
_a516.3/5
_222
100 1 _aAndreatta, F.
_q(Fabrizio),
_d1972-
245 1 0 _aHilbert modular forms :
_h[electronic resource]
_bmod p and p-adic aspects /
_cF. Andreatta, E.Z. Goren.
260 _aProvidence, RI :
_bAmerican Mathematical Society,
_c2005.
300 _a1 online resource (vi, 100 p. : ill.)
490 0 _aMemoirs of the American Mathematical Society,
_x0065-9266 (print);
_x1947-6221 (online);
_vv. 819
500 _a"Volume 173, number 819 (fourth of 5 numbers)."
504 _aIncludes bibliographical references (p. 98-100).
505 0 0 _t1. Introduction
_t2. Notations
_t3. Moduli spaces of abelian varieties with real multiplication
_t4. Properties of $\mathcal {G}$
_t5. Hilbert modular forms
_t6. The $q$-expansion map
_t7. The partial Hasse invariants
_t8. Reduceness of the partial Hasse invariants
_t9. A compactification of $\mathfrak {M}(k, \mu _{pN})^{Kum}$
_t10. Congruences mod $p^n$ and Serre's $p$-adic modular forms
_t11. Katz's $p$-adic Hilbert modular forms
_t12. The operators $\Theta _{\mathfrak {P},i}$
_t13. The operator $V$
_t14. The operator $U$
_t15. Applications to filtrations of modular forms
_t16. Theta cycles and parallel filtration (inert case)
_t17. Functorialities
_t18. Integrality and congruences for values of zeta functions
_t19. Numerical examples
_t20. Comments regarding values of zeta functions
506 1 _aAccess is restricted to licensed institutions
533 _aElectronic reproduction.
_bProvidence, Rhode Island :
_cAmerican Mathematical Society.
_d2012
538 _aMode of access : World Wide Web
588 _aDescription based on print version record.
650 0 _aArithmetical algebraic geometry.
650 0 _aHilbert modular surfaces.
650 0 _aForms, Modular.
650 0 _aModuli theory.
700 1 _aGoren, Eyal Z.
_q(Eyal Zvi),
_d1963-
776 0 _iPrint version:
_aAndreatta, F. 1972-
_tHilbert modular forms :
_w(DLC) 2004057485
_x0065-9266
_z9780821836095
786 _dAmerican mathematical Society
856 4 _3Contents
_uhttp://www.ams.org/memo/0819
856 4 _3Contents
_uhttp://dx.doi.org/10.1090/memo/0819
942 _2EBK13272
_cEBK
999 _c42566
_d42566