S. Purkait

activity

20122026

most citedOn Shimura's decomposition

8 citations · 23 across the 9 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

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…

math.NT2012★ 1 cited

Explicit application of Waldspurger's Theorem

Soma Purkait

For a given cusp form $ϕ$ of even integral weight satisfying certain hypotheses, Waldspurger's Theorem relates the critical value of the $L$ -function of the $n$ -th quadrat…

math.NT2012★ 8 cited

On Shimura's decomposition

Soma Purkait

Let $k$ be an odd integer $\geq 3$ and $N$ a positive integer such that $4 ∣ N$ . Let $χ$ be an even Dirichlet character modulo $N$ . Shimura decomposes the space of half-integral…