S. Purkait

activity

20122018

most citedHecke operators in half-integral weight

4 citations · 5 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2018

Newforms of half-integral weight: the minus space of S_{k+1/2}(Γ_0(8M))

Ehud Moshe Baruch, Soma Purkait

We compute generators and relations for a certain $2$ -adic Hecke algebra of level $8$ associated with the double cover of $SL_{2}$ and a $2$ -adic Hecke algebra of level $4$ …

math.NT2015★ 1 cited

Hecke algebras, new vectors and new forms on $Γ_{0} (m)$

Ehud Moshe Baruch, Soma Purkait

We characterize the space of new forms for $Γ_{0} (m)$ as a common eigenspace of certain Hecke operators which depend on primes $p$ dividing the level $m$ . To do that we find generato…

math.NT2012★ 4 cited

Hecke operators in half-integral weight

Soma Purkait

In \cite{Shimura}, Shimura introduced modular forms of half-integral weight, their Hecke algebras and their relation to integral weight modular forms via the Shimura correspondence…

Newforms of half-integral weight: the minus space of S_{k+1/2}(Γ_0(8M))

Hecke algebras, new vectors and new forms on Γ0​(m)

Hecke operators in half-integral weight

Hecke algebras, new vectors and new forms on $Γ_{0} (m)$