Shaoyun Yi

activity

20202026

most citedAnalogues of Alladi's formula over global function fields

5 citations · 17 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Classical and adelic Eisenstein series

Manami Roy, Ralf Schmidt, Shaoyun Yi

We carry out ``Hecke summation'' for the classical Eisenstein series $E_{k}$ in an adelic setting. The connection between classical and adelic functions is made by explicit calculati…

math.NT2021

Congruences for dimensions of spaces of Siegel cusp forms and $4$ -core partitions

Chiranjit Ray, Manami Roy, Shaoyun Yi

Using the relationship between Siegel cusp forms of degree $2$ and cuspidal automorphic representations of $GSp (4, A_{Q})$ , we derive some congruences inv…

math.NT2021★ 2 cited

Generalizations of Alladi's formula for arithmetical semigroups

Lian Duan, Ning Ma, Shaoyun Yi

In this article, we prove that a general version of Alladi's formula with Dirichlet convolution holds for arithmetical semigroups satisfying Axiom $A$ or Axiom $A^{#}$ . As applica…

Classical and adelic Eisenstein series

Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions

Generalizations of Alladi's formula for arithmetical semigroups

Congruences for dimensions of spaces of Siegel cusp forms and $4$ -core partitions