Quadratic residues and domino tilings

التفاصيل البيبلوغرافية
العنوان: Quadratic residues and domino tilings
المؤلفون: Kamio, Yuhi, Koizumi, Junnosuke, Nakazawa, Toshihiko
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, Mathematics - Combinatorics
الوصف: The formula for the number of domino tilings due to Kasteleyn and Temperley-Fisher is strikingly similar to Eisenstein's formula for the Legendre symbol. We study the connection between these two concepts and prove a formula which expresses the Jacobi symbol in terms of domino tilings.
Comment: 15 Pages. A combinatorial proof has been included
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.13597
رقم الأكسشن: edsarx.2311.13597
قاعدة البيانات: arXiv