https://jaam.aamonline.org.in/ojs/index.php/j/issue/feedJournal of the Assam Academy of Mathematics2023-12-31T16:27:52+00:00Prof. Anupam Saikiaeditor.jaam@aamonline.org.inOpen Journal Systems<p>The <strong>Journal of the Assam Academy of Mathematics</strong> (JAAM) (Print ISSN 2229-3884) is the flagship journal of the <strong>Assam Academy of Mathematics</strong> and publishes original research articles as well as well-written expository papers on all branches of pure and applied mathematics. <strong>Prof. Anupam Saikia</strong> is the Editor-in-Chief of the journal with several Associate Editors from a diverse mathematical background.</p> <p><strong>Assam Academy of Mathematics</strong><span class="s1"><span class="Apple-converted-space"> </span></span><strong>(অসম গণিত শিক্ষায়তন)</strong>, a non-profit Academic Voluntary organization was established on 18th July, 1986 to promote and popularize mathematics study and research in Assam. Since inception, the Academy has been publishing a quarterly bilingual (Assamese and English) popular magazine on Mathematics named <a href="https://aamonline.org.in/ganit-bikash" target="_blank" rel="noopener"><strong>Ganit Bikash</strong></a>, popular mathematics books in Assamese, etc. It is also organizing Mathematics Olympiad to spot young mathematical talents of the state and academic programmes across the State in fulfillment of the aims and objectives of the organization.</p>https://jaam.aamonline.org.in/ojs/index.php/j/article/view/58Conjectures on congruences of binomial coefficients modulo higher powers of a prime number2022-07-22T13:40:49+00:00Manjil Saikiamanjil@gonitsora.com<p>Some congruences modulo $p^3$ and $p^2$, for a prime $p$ involving binomial coefficients are stated. These appear to be novel.</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Author(s)https://jaam.aamonline.org.in/ojs/index.php/j/article/view/60Formal triangular matrix ring with nil clean index 42023-01-18T12:12:01+00:00Jayanta Bhattacharyyajayanta.jgc@gmail.comDhiren Kumar Basnetdbasnet@tezu.ernet.in<p>For an element $a \in R$, let $\eta(a)=\{e\in R\mid e^2=e\mbox{ and }a-e\in \mbox{nil}(R)\}$. The nil clean index of $R$, denoted by $Nin(R)$, is defined by $Nin(R)=\sup \{\mid \eta(a)\mid: a\in R\}$. In this article we have characterized formal triangular ring $\begin{pmatrix}A & M\\0 & B\end{pmatrix}$ with nil clean index $4$</p>2023-12-31T00:00:00+00:00Copyright (c) 2023 Author(s)