Special values of L -functions attached to X 1 ( N )

S. Kamienny; G. Stevens

Compositio Mathematica (1983)

  • Volume: 49, Issue: 1, page 121-142
  • ISSN: 0010-437X

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Kamienny, S., and Stevens, G.. "Special values of $L$-functions attached to $X_1( N)$." Compositio Mathematica 49.1 (1983): 121-142. <http://eudml.org/doc/89602>.

@article{Kamienny1983,
author = {Kamienny, S., Stevens, G.},
journal = {Compositio Mathematica},
keywords = {Birch Swinnerton-Dyer conjectures; universal special value of L-function; Dedekind sum},
language = {eng},
number = {1},
pages = {121-142},
publisher = {Martinus Nijhoff Publishers},
title = {Special values of $L$-functions attached to $X_1( N)$},
url = {http://eudml.org/doc/89602},
volume = {49},
year = {1983},
}

TY - JOUR
AU - Kamienny, S.
AU - Stevens, G.
TI - Special values of $L$-functions attached to $X_1( N)$
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 1
SP - 121
EP - 142
LA - eng
KW - Birch Swinnerton-Dyer conjectures; universal special value of L-function; Dedekind sum
UR - http://eudml.org/doc/89602
ER -

References

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  1. [1] B.J. Birch: Elliptic Curves, a Progress Report. Proceedings of the 1969 Summer Institute on Number Theory, Stoney Brook, New York AMS, pp. 396-400, 1971. Zbl0214.19801MR314845
  2. [2] E. Friedman: Ideal class groups in basic Zp1 x ... x Zpn extensions with abelian base field. Inv. Math.65 (1982) 425-440. Zbl0495.12007MR643561
  3. [3] S. Kamienny: On J1(p) and the Conjecture of Birch and Swinnerton-Dyer. Duke Math. J.49 (1982) 329-340. Zbl0504.10012MR659944
  4. [4] D. Kubert and S. Lang: Modular Units, Berlin-Heidelberg -New York, Springer-Verlag, 1981. Zbl0492.12002MR648603
  5. [5] J. Manin: Parabolic Points and Zeta Functions of Modular Curves. Izv. Akad. Nauk SSSR, Vol. 6, No. 1, (1972); AMS translation pp. 19-64. Zbl0248.14010MR314846
  6. [6] B. Mazur: Modular Curves and the Eisenstein Ideal. Publ. Math. I.H.E.S.47 (1977) 33-189. Zbl0394.14008MR488287
  7. [7] B. Mazur: On the Arithmetic of Special Values of L-functions. Inv. Math.55 (1979) 207-240. Zbl0426.14009MR553997
  8. [8] H. Rademacher: Collected Papers, Volume II, Cambridge, M.I.T. Press (1974). 
  9. [9] B. Schoeneberg: Elliptic Modular Functions, Springer, Grundl. d. Math. Wiss., Band 203, (1974). Zbl0285.10016MR412107
  10. [10] G. Shimura: Introduction to the Arithmetic Theory of Automorphic Functions, Princeton University Press (1971). Zbl0221.10029MR1291394
  11. [11] G. Shimura: On the Periods of Modular Forms. Math. Ann.229 (1977) 211-221. Zbl0363.10019
  12. [12] L. Washington: The non-p-part of the class number in a cyclotomic Zp-extcnsion. Inv. Math.49 (1978) 87-97. Zbl0403.12007MR511097

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