A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

On constant terms of Eisenstein series

Volume 200 / 2021

Samit Dasgupta, Mahesh Kakde Acta Arithmetica 200 (2021), 119-147 MSC: Primary 11F41; Secondary 11F30. DOI: 10.4064/aa200621-24-2 Published online: 6 October 2021

Abstract

We calculate the constant terms of certain Hilbert modular Eisenstein series at all cusps. Our formula relates these constant terms to special values of Hecke $L$-series. This builds on previous work of Ozawa, in which a restricted class of Eisenstein series were studied. Our results have direct arithmetic applications—in separate work we apply these formulas to prove the Brumer–Stark conjecture away from $p=2$ and to give an exact analytic formula for Brumer–Stark units.

Authors

  • Samit DasguptaDepartment of Mathematics
    Duke University
    Durham, NC 27708-0320, U.S.A.
    e-mail
  • Mahesh KakdeDepartment of Mathematics
    Indian Institute of Science
    Bangalore 560012, India
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image