On one-dimensional formal group laws in characteristic zero
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0282-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0282-6 | ||
| 245 | 0 | 0 | |a On one-dimensional formal group laws in characteristic zero |h [Elektronische Daten] |c [Harald Fripertinger, Jens Schwaiger] |
| 520 | 3 | |a Let $${\mathbb{K}}$$ K be a field of characteristic zero or, more generally, a $${\mathbb{Q}}$$ Q -algebra. A formal power series $${F(x,y)=x+y+ \sum_{i,j \geq 1} a_{i,j}x^iy^j \in \mathbb{K}{[\![} x, y{]\!]}}$$ F ( x , y ) = x + y + ∑ i , j ≥ 1 a i , j x i y j ∈ K [ [ x , y ] ] is called a one-dimensional formal group law if F(F(x, y), z)=F(x, F(y, z)). Using some elementary methods, we prove that for every one-dimensional formal group law F(x, y) there exists a formal power series $${f(x)=x+\sum_{n\geq 2}f_nx ^n \in \mathbb{K}{[\![} x, y{]\!]}}$$ f ( x ) = x + ∑ n ≥ 2 f n x n ∈ K [ [ x , y ] ] so that F(x, y)=f −1(f(x)+f(y)). | |
| 540 | |a Springer Basel, 2014 | ||
| 700 | 1 | |a Fripertinger |D Harald |u Institut für Mathematik und Wissenschaftliches Rechnen, NAWI-Graz, Universität Graz, Heinrichstr. 36/4, 8010, Graz, Austria |4 aut | |
| 700 | 1 | |a Schwaiger |D Jens |u Institut für Mathematik und Wissenschaftliches Rechnen, NAWI-Graz, Universität Graz, Heinrichstr. 36/4, 8010, Graz, Austria |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 857-862 |x 0001-9054 |q 89:3<857 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0282-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0282-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Fripertinger |D Harald |u Institut für Mathematik und Wissenschaftliches Rechnen, NAWI-Graz, Universität Graz, Heinrichstr. 36/4, 8010, Graz, Austria |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Schwaiger |D Jens |u Institut für Mathematik und Wissenschaftliches Rechnen, NAWI-Graz, Universität Graz, Heinrichstr. 36/4, 8010, Graz, Austria |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 857-862 |x 0001-9054 |q 89:3<857 |1 2015 |2 89 |o 10 | ||