D. S. Ramana

activity

20072017

most citedThe number of rational numbers determined by large sets of integers

11 citations · 14 across the 7 of their papers we have counts for

collaborators

Showing 2007Show all

4 papers · 1 filter

math.NT2007

Sum-free subsets of finite abelian groups of type III

R. Balasubramanian, Gyan Prakash, D. S. Ramana

A finite abelian group $G$ of cardinality $n$ is said to be of type III if every prime divisor of $n$ is congruent to 1 modulo 3. We obtain a classification theorem for sum-free su…

math.NT2007

The Large Sieve Inequality for Integer Polynomial Amplitudes

Gyan Prakash, D. S. Ramana

We obtain a close to the best possible version of the large sieve inequality with amplitudes given by the values of a polynomial with integer coefficients of degree $\geq 2$ .

math.NT2007

The Large Sieve Inequality for Quadratic Polynomial Amplitudes

Gyan Prakash, D. S. Ramana

We provide here a modest improvement upon a large sieve inequality for quadratic polynomial amplitudes orginally due to Liangyi Zhao.

math.NT2007★ 3 cited

Arithmetical Applications of an Identity for the Vandermonde Determinant

D. S. Ramana

When ${α_{i}}_{1 \leq i \leq m}$ is a sequence of distinct non-zero elements of an integral domain $A$ and $γ$ is a common multiple of the $α_{i}$ in $A$ we obtain, by means of a sim…