Frieze patterns over finite commutative local rings

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OriginalspracheEnglisch
Seitenumfang17
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 17 Juli 2024

Abstract

We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring Z/prZ, p a prime and r in N we obtain closed formulae for all heights. These may be interpreted as formulae for the numbers of certain relations in quotients of the modular group.

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abstract = "We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring Z/prZ, p a prime and r in N we obtain closed formulae for all heights. These may be interpreted as formulae for the numbers of certain relations in quotients of the modular group.",
author = "Michael Cuntz and B{\"o}hmler, {Bernhard Karl}",
year = "2024",
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AU - Böhmler, Bernhard Karl

PY - 2024/7/17

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N2 - We count numbers of tame frieze patterns with entries in a finite commutative local ring. For the ring Z/prZ, p a prime and r in N we obtain closed formulae for all heights. These may be interpreted as formulae for the numbers of certain relations in quotients of the modular group.

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