M. Kulkarni

activity

20062024

f (X) - g (Y)

3 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2024

Integral Basis for quartic Kummer extensions over $Z [ι]$

S. Venkataraman, Manisha V. Kulkarni

Let $K = Q [ι]$ and $N = K [4 α]$ , $α \in Z [ι]$ , $a l p ha = f g^{2} h^{3}$ , $f$ , $g$ , $h \in Z [ι]$ are pairwise coprime and square free. Let $O_{N}$ be the ri…

math.NT2014★ 1 cited

l-Class groups of cyclic extensions of prime degree l

Manisha Kulkarni, Dipramit Majumdar, Balasubramanian Sury

Let K/F be a cyclic extension of prime degree l over a number field F. If F has class number coprime to l, we study the structure of the l-Sylow subgroup of the class group of K. I…

math.NT2014

Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves

Manisha Kulkarni, Vijay M. Patankar, C. S. Rajan

We show that a two dimensional $ℓ$ -adic representation of the absolute Galois group of a number field which is locally potentially equivalent to a $G L (2)$ - $ℓ$ -adic represent…

math.NT2006★ 3 cited

Quadratic Factors of $f (X) - g (Y)$

Manisha Kulkarni, Peter Müller, B. Sury

We classify the pairs of polynomials $f, g$ over a field $K$ , such that $f (X) - g (Y)$ has a factor of total degree at most 2. This was done by Y. Bilu for characteristic 0 fields $K$ .…

Integral Basis for quartic Kummer extensions over Z[ι]

l-Class groups of cyclic extensions of prime degree l

Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves

Quadratic Factors of f(X)−g(Y)

Integral Basis for quartic Kummer extensions over $Z [ι]$

Quadratic Factors of $f (X) - g (Y)$