Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910580399407104 |
|---|---|
| author | Xu, Peter |
| author_facet | Xu, Peter |
| contents | We find group cochains valued in currents giving explicit representatives for the $\text{GL}_2$-equivariant polylogarithm class of a torus. Based on the construction of weight-$2$ Eisenstein series for $\text{GL}_2$ from this polylogarithm class, we give a geometrically-flavored derivation of the classical formulas for the associated Dedekind-Rademacher homomorphisms, i.e. the periods of $E^2_{α,β}$ for various nonzero torsion sections $(α, β)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus Xu, Peter Number Theory We find group cochains valued in currents giving explicit representatives for the $\text{GL}_2$-equivariant polylogarithm class of a torus. Based on the construction of weight-$2$ Eisenstein series for $\text{GL}_2$ from this polylogarithm class, we give a geometrically-flavored derivation of the classical formulas for the associated Dedekind-Rademacher homomorphisms, i.e. the periods of $E^2_{α,β}$ for various nonzero torsion sections $(α, β)$. |
| title | Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.00962 |