Anuradha S. Garge

activity

20122026

collaborators

5 papers

math.NT2026

Integral quadratic forms over a ring of $p$ -adic integers

Mrunal Hardikar, Anuradha S. Garge

Jungin Lee in 2018 proved a necessary and sufficient condition that an integral quadratic form $\sum_{i = 1}^{m} a_{i} X_{i}^{2}$ is universal over $M_{2} (Z)$ . For a positive integer…

cs.IT2026

On the Algebraic Structure Underlying the Support Enumerators of Linear Codes

Nitin Kenjale, Anuradha S. Garge

In this paper, we have introduced the concepts of support distribution and the support enumerator as refinements of the classical weight distribution and weight enumerator respecti…

math.NT2020

Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices

Rakesh Barai, Anuradha S. Garge

In this paper, we shall be considering the Waring's problem for matrices. One version of the problem involves writing an $n \times n$ matrix over a commutative ring $R$ with unity…

math.NT2020

Representation of two by two matrices over perfect fields by a diagonal quadratic form

Murtuza Nullwala, Anuradha S. Garge

Let F be a perfect field. Then the diagonal quadratic form $a_{i} X_{i}^{2}$ over $F$ is universal over $M_{2} (F)$ if and only if atleast two of the $a_{i}$ are non-zero.

math.KT2012

A nice group structure on the orbit space of unimodular rows-II

Anjan Gupta, Anuradha Garge, Ravi A. Rao

We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length $n$ modulo elementary action. This permits us to establish nic…