Generalization of a Result of Sylvester Regarding the Frobenius Coin Problem and an Elementary Proof of Eisenstein's Lemma for Jacobi Symbols

zbMath1482.11038arXiv2102.08320MaRDI QIDQ5154714

Damanvir Singh Binner

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/2102.08320

zbMATH Keywords

quadratic residuesFrobenius coin problem

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Linear Diophantine equations (11D04) Power residues, reciprocity (11A15)

Cites Work

• Extending the Zolotarev-Frobenius approach to quadratic reciprocity
• Sur une généralisation des symboles de Legendre-Jacobi
• Weighted Sylvester sums on the Frobenius set
• The Quadratic Reciprocity Law
• Quadratic Reciprocity in a Finite Group
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