Elliptic curve groups and chip-firing games

Gregg Musiker

Elliptic curve groups and chip-firing games

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

The author illustrates several results from the theory of elliptic curves, as well as the theory of chip-firing games on graphs. More specifically, in both of these cases, we obtain analogues of cyclotomic polynomials with several combinatorial and number theoretic properties. We also provide an analysis of zeta functions which highlights the connections between these two disparate fields.

Original language	English (US)
State	Published - Dec 1 2007
Event	19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, China Duration: Jul 2 2007 → Jul 6 2007

Other

Other	19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07
Country/Territory	China
City	Tianjin
Period	7/2/07 → 7/6/07

Keywords

Chip-firing games
Cyclic languages
Elliptic curves
Finite fields
Spanning trees
Zeta functions

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AB - The author illustrates several results from the theory of elliptic curves, as well as the theory of chip-firing games on graphs. More specifically, in both of these cases, we obtain analogues of cyclotomic polynomials with several combinatorial and number theoretic properties. We also provide an analysis of zeta functions which highlights the connections between these two disparate fields.

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KW - Finite fields

KW - Spanning trees

KW - Zeta functions

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Elliptic curve groups and chip-firing games

Abstract

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Keywords

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