Výsledky vyhledávání - "Bera, Ranjan"

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Davenport constant and its variants for some non-abelian groups

Autor: Babu, C. G. Karthick, Bera, Ranjan, Ghosh, Mainak, Sury, B.

We define two variants $e(G)$, $f(G)$ of the Davenport constant $d(G)$ of a finite group $G$, that is not necessarily abelian. These naturally arising constants aid in computing $d(G)$ and are of potential independent interest. We compute the constan

Externí odkaz: http://arxiv.org/abs/2406.09210

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Linear Congruences and a Conjecture of Bibak

Autor: Babu, C. G. Karthick, Bera, Ranjan, Sury, B.

We address three questions posed by Bibak \cite{KB20}, and generalize some results of Bibak, Lehmer and K G Ramanathan on solutions of linear congruences $\sum_{i=1}^k a_i x_i \equiv b \Mod{n}$. In particular, we obtain explicit expressions for the n

Externí odkaz: http://arxiv.org/abs/2403.01923

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Linear Congruences in several variables with congruence restrictions

Autor: Babu, C. G. Karthick, Bera, Ranjan, Sury, B.

In this article, we consider systems of linear congruences in several variables and obtain necessary and sufficient conditions as well as explicit expressions for the number of solutions subject to certain restriction conditions. These results are in

Externí odkaz: http://arxiv.org/abs/2403.01914

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