Shingo Sugiyama

activity

20132026

most citedAsymptotic behaviors of means of central values of automorphic

L

-functions for GL(2)

10 citations · 30 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 1 cited

Optimal estimates for an average of Hurwitz class numbers

Shingo Sugiyama, Masao Tsuzuki

In this paper, we give an optimal estimate of an average of Hurwitz class numbers. As an application, we give an equidistribution result of the family $\{\frac{t}{2q^{ν/2}} \ | \ ν…

math.NT2018★ 3 cited

Quantitative non-vanishing of central values of certain $L$ -functions on $GL (2) \times GL (3)$

Shingo Sugiyama, Masao Tsuzuki

Let $ϕ$ be an even Hecke-Maass cusp form on $SL_{2} (Z)$ whose $L$ -function does not vanish at the center of the functional equation. In this article, we obtain an exac…

math.RT2018★ 2 cited

A quantum probabilistic approach to Hecke algebras for $p$ -adic $PGL_{2}$

Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1

The subject of the present paper is an application of quantum probability to $p$ -adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for ${\…

Optimal estimates for an average of Hurwitz class numbers

Quantitative non-vanishing of central values of certain L-functions on GL(2)×GL(3)

A quantum probabilistic approach to Hecke algebras for p-adic PGL2​

Quantitative non-vanishing of central values of certain $L$ -functions on $GL (2) \times GL (3)$

A quantum probabilistic approach to Hecke algebras for $p$ -adic $PGL_{2}$