# On the Tate constant

Compositio Mathematica (1987)

- Volume: 61, Issue: 1, page 43-59
- ISSN: 0010-437X

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top## How to cite

topDwork, B.. "On the Tate constant." Compositio Mathematica 61.1 (1987): 43-59. <http://eudml.org/doc/89814>.

@article{Dwork1987,

author = {Dwork, B.},

journal = {Compositio Mathematica},

keywords = {Tate constant; congruence zeta function; p-adic theory of the hypergeometric equation},

language = {eng},

number = {1},

pages = {43-59},

publisher = {Martinus Nijhoff Publishers},

title = {On the Tate constant},

url = {http://eudml.org/doc/89814},

volume = {61},

year = {1987},

}

TY - JOUR

AU - Dwork, B.

TI - On the Tate constant

JO - Compositio Mathematica

PY - 1987

PB - Martinus Nijhoff Publishers

VL - 61

IS - 1

SP - 43

EP - 59

LA - eng

KW - Tate constant; congruence zeta function; p-adic theory of the hypergeometric equation

UR - http://eudml.org/doc/89814

ER -

## References

top- [D] B. Dwork: Norm residue symbol in local number fields. Hamb. Abh.22 (1958) 180-190. Zbl0083.26001MR98079
- [Dw 1962] B. Dwork: A deformation theory for the zeta function of a hypersurface. Proc. Inst. Cong. Math. (1962) 247-259. Zbl0196.53302MR175895
- [Dw 1969] B. Dwork: p-adic cycles. Pub. Math. IHES39 (1969) 27-111. Zbl0284.14008MR294346
- [Dw 1971] B. Dwork: Normalized period matrices I. Ann. of Math94 (1971) 337-388. Zbl0241.14011MR396579
- [Dw 1973] B. Dwork: On p-adic differential equations IV. Ann. Sc. Ecole Norm Sup.6 (1973) 295-316. Zbl0309.14020MR572762
- [Dw] B. Dwork: Lectures on p-adic differential equations. Springer-Verlag (1982). Zbl0502.12021MR678093
- [Dw 1983] B. Dwork: Boyarsky principle. Amer. J. Math.105 (1983) 115-156. Zbl0517.12012MR692108
- [L] L. Lutz: Sur l'équation y2 = x3 - Ax - B dans les corps p-adiques. J. Reine Angew. Math.177 (1937) 238-247. Zbl0017.05307JFM63.0101.01

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