# An analogue of the Weierstrass ζ-function in characteristic p

Acta Arithmetica (1997)

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

## Access Full Article

top## How to cite

topJosé 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

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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.