A new construction of p -adic L -functions attached to certain elliptic curves with complex multiplication

John L. Boxall

Annales de l'institut Fourier (1986)

  • Volume: 36, Issue: 4, page 31-68
  • ISSN: 0373-0956

Abstract

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In this paper we apply the results of our previous article on the p -adic interpolation of logarithmic derivatives of formal groups to the construction of p -adic L -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.

How to cite

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Boxall, John L.. "A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication." Annales de l'institut Fourier 36.4 (1986): 31-68. <http://eudml.org/doc/74738>.

@article{Boxall1986,
abstract = {In this paper we apply the results of our previous article on the $p$-adic interpolation of logarithmic derivatives of formal groups to the construction of $p$-adic $L$-functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.},
author = {Boxall, John L.},
journal = {Annales de l'institut Fourier},
keywords = {p-adic L-functions; elliptic curve; supersingular primes; complex multiplications; interpolation of Eisenstein series; Kronecker limit formula},
language = {eng},
number = {4},
pages = {31-68},
publisher = {Association des Annales de l'Institut Fourier},
title = {A new construction of $\{p\}$-adic $L$-functions attached to certain elliptic curves with complex multiplication},
url = {http://eudml.org/doc/74738},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Boxall, John L.
TI - A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication
JO - Annales de l'institut Fourier
PY - 1986
PB - Association des Annales de l'Institut Fourier
VL - 36
IS - 4
SP - 31
EP - 68
AB - In this paper we apply the results of our previous article on the $p$-adic interpolation of logarithmic derivatives of formal groups to the construction of $p$-adic $L$-functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
LA - eng
KW - p-adic L-functions; elliptic curve; supersingular primes; complex multiplications; interpolation of Eisenstein series; Kronecker limit formula
UR - http://eudml.org/doc/74738
ER -

References

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