S. Purkait

activity

20122026

most citedHecke operators in half-integral weight

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

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math.NT2026

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $\SL_2(\mathbb Q_p)$

Ehud Moshe Baruch, Markos Karameris, Soma Purkait

We determine an explicit compact Hecke subalgebra for the metaplectic double cover of $\SL_2(\mathbb Q_p)$ at the congruence subgroup $K_{0} (p^{n})$ , for odd $p$ , and use it to study l…

math.NT2023

A variant of the congruent number problem

Jerome T. Dimabayao, Soma Purkait

A positive integer $n$ is called a $θ$ -congruent number if there is a triangle with sides $a, b$ and $c$ for which the angle between $a$ and $b$ is equal to $θ$ and its area is $n\s…

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…

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $\SL_2(\mathbb Q_p)$

A variant of the congruent number problem

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 $Γ_{0} (m)$