Osburn, RobertRobertOsburnStraub, ArminArminStraub2024-05-152024-05-152021 Sprin2019-01-31978-3-030-04479-40943-853Xhttp://hdl.handle.net/10197/25947Recently, Zagier expressed an interpolated version of the Apéry numbers for 𝜁(3) in terms of a critical L-value of a modular form of weight 4. We extend this evaluation in two directions. We first prove that interpolations of Zagier’s six sporadic sequences are essentially critical L-values of modular forms of weight 3. We then establish an infinite family of evaluations between interpolations of leading coefficients of Brown’s cellular integrals and critical L-values of modular forms of odd weight.enThe final publication is available at www.springerlink.com.Apéry numbersL-valuesBrown’s cellular integralsJournal Article10.1007/978-3-030-04480-0_142021-02-02https://creativecommons.org/licenses/by-nc-nd/3.0/ie/