Integer valued polynomials and Lubin-Tate formal groups

Ehud de Shalit; Eran Iceland

doi:10.1016/j.jnt.2008.10.014

Integer valued polynomials and Lubin-Tate formal groups

Ehud de Shalit^*, Eran Iceland

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

If R is an integral domain and K is its field of fractions, we let Int (R) stand for the subring of K [x] which maps R into itself. We show that if R is the ring of integers of a p-adic field, then Int (R) is generated, as an R-algebra, by the coefficients of the endomorphisms of any Lubin-Tate group attached to R.

Original language	American English
Pages (from-to)	632-639
Number of pages	8
Journal	Journal of Number Theory
Volume	129
Issue number	3
DOIs	https://doi.org/10.1016/j.jnt.2008.10.014
State	Published - Mar 2009

Keywords

Formal groups
Integer valued polynomials

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10.1016/j.jnt.2008.10.014

Cite this

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title = "Integer valued polynomials and Lubin-Tate formal groups",

abstract = "If R is an integral domain and K is its field of fractions, we let Int (R) stand for the subring of K [x] which maps R into itself. We show that if R is the ring of integers of a p-adic field, then Int (R) is generated, as an R-algebra, by the coefficients of the endomorphisms of any Lubin-Tate group attached to R.",

keywords = "Formal groups, Integer valued polynomials",

author = "{de Shalit}, Ehud and Eran Iceland",

year = "2009",

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doi = "10.1016/j.jnt.2008.10.014",

language = "American English",

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AU - de Shalit, Ehud

AU - Iceland, Eran

PY - 2009/3

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N2 - If R is an integral domain and K is its field of fractions, we let Int (R) stand for the subring of K [x] which maps R into itself. We show that if R is the ring of integers of a p-adic field, then Int (R) is generated, as an R-algebra, by the coefficients of the endomorphisms of any Lubin-Tate group attached to R.

AB - If R is an integral domain and K is its field of fractions, we let Int (R) stand for the subring of K [x] which maps R into itself. We show that if R is the ring of integers of a p-adic field, then Int (R) is generated, as an R-algebra, by the coefficients of the endomorphisms of any Lubin-Tate group attached to R.

KW - Formal groups

KW - Integer valued polynomials

UR - http://www.scopus.com/inward/record.url?scp=58549107996&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2008.10.014

DO - 10.1016/j.jnt.2008.10.014

M3 - Article

AN - SCOPUS:58549107996

SN - 0022-314X

VL - 129

SP - 632

EP - 639

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 3

ER -

Integer valued polynomials and Lubin-Tate formal groups

Abstract

Keywords

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