An analogue of the Weierstrass ζ-function in characteristic p

José Felipe Voloch

Acta Arithmetica (1997)

  • Volume: 79, Issue: 1, page 1-6
  • ISSN: 0065-1036

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José Felipe Voloch. "An analogue of the Weierstrass ζ-function in characteristic p." Acta Arithmetica 79.1 (1997): 1-6. <http://eudml.org/doc/206961>.

@article{JoséFelipeVoloch1997,
author = {José Felipe Voloch},
journal = {Acta Arithmetica},
keywords = {elliptic curve; finite characteristic; Weierstraß -function; addition theorem; logarithmic derivative of the Mazur-Tate -function; Tate curve; universal vectorial extension},
language = {eng},
number = {1},
pages = {1-6},
title = {An analogue of the Weierstrass ζ-function in characteristic p},
url = {http://eudml.org/doc/206961},
volume = {79},
year = {1997},
}

TY - JOUR
AU - José Felipe Voloch
TI - An analogue of the Weierstrass ζ-function in characteristic p
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 1
SP - 1
EP - 6
LA - eng
KW - elliptic curve; finite characteristic; Weierstraß -function; addition theorem; logarithmic derivative of the Mazur-Tate -function; Tate curve; universal vectorial extension
UR - http://eudml.org/doc/206961
ER -

References

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  1. [A] L. V. Ahlfors, Complex Analysis, McGraw-Hill, New York, 1966. Zbl0154.31904
  2. [C] J. W. S. Cassels, Some elliptic function identities, Acta Arith. 18 (1971), 37-52. Zbl0218.14016
  3. [D] M. Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamburg 14 (1941), 197-272. Zbl0025.02003
  4. [K] N. M. Katz, The Eisenstein measure and p-adic interpolation, Amer. J. Math. 99 (1977), 238-311. Zbl0375.12022
  5. [L] S. Lang, Elliptic Functions, Addison-Wesley, Reading, Mass., 1973. 
  6. [MT] B. Mazur and J. Tate, The p-adic sigma function, Duke Math. J. 62 (1991), 663-688. Zbl0735.14020
  7. [R] M. Rosenlicht, Extensions of vector groups by abelian varieties, Amer. J. Math. 80 (1958), 685-714. Zbl0091.33303
  8. [V] J. F. Voloch, Explicit p-descent for elliptic curves in characteristic p, Compositio Math. 74 (1990), 247-258. Zbl0715.14027

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