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Fourier coefficients of Sp(4) Eisenstein series

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10489819" target="_blank" >RIV/00216208:11320/24:10489819 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=WPQeHP~F_P" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=WPQeHP~F_P</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4064/aa230511-16-1" target="_blank" >10.4064/aa230511-16-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fourier coefficients of Sp(4) Eisenstein series

  • Original language description

    We compute explicit formulae for the constant terms and Fourier coefficients for Eisenstein series on Sp(4, , R), in terms of zeta functions and Whittaker functions. We also develop a generalisation of Ramanujan sums to Sp(4, , Z), which appear as coefficients in the Fourier expansion for the minimal Eisenstein series.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/EF18_053%2F0016976" target="_blank" >EF18_053/0016976: International mobility of research, technical and administrative staff at the Charles University</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2024

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Arithmetica

  • ISSN

    0065-1036

  • e-ISSN

    1730-6264

  • Volume of the periodical

    213

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    46

  • Pages from-to

  • UT code for WoS article

    001215088400001

  • EID of the result in the Scopus database

    2-s2.0-85197426583