Sarthak Chimni

collaborators

4 papers

math.NT2020

Counting Ideals in $Z [t] / (f)$

Sarthak Chimni

In this paper we study the growth of ideals in $Z [t] / (f)$ for a monic cubic polynomial $f$ . We also compute the ideal zeta function of $Z [t] / (t^{n})$ for any $n \in…

math.NT2020

Subrings of $Z [t] / (t^{4})$

Sarthak Chimni, Ramin Takloo-Bighash

In this note we study the distribution of the subrings of $Z [t] / (t^{4})$ and prove two results. The first result gives an asymptotic formula for the number of subrings of $\m…

math.NT2020

Cotype zeta function for subrings of $Z [t] / (t^{3})$

Sarthak Chimni, Ramin Takloo-Bighash

In this note we study the cotypes of subrings of $Z [t] / (t^{3})$ using $p$ -adic integration.

math.NT2018

Counting subrings of $Z^{n}$ of non-zero co-rank

Sarthak Chimni, Gautam Chinta, Ramin Takloo-Bighash

In this paper we study subrings of $Z^{n + k}$ of co-rank $k$ .

Counting Ideals in Z[t]/(f)

Subrings of Z[t]/(t4)

Cotype zeta function for subrings of Z[t]/(t3)

Counting subrings of Zn of non-zero co-rank

Counting Ideals in $Z [t] / (f)$

Subrings of $Z [t] / (t^{4})$

Cotype zeta function for subrings of $Z [t] / (t^{3})$

Counting subrings of $Z^{n}$ of non-zero co-rank