caa a22 4500 463178009 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s11139-007-9034-8 doi (NATIONALLICENCE)springer-10.1007/s11139-007-9034-8 Values of L -functions at integers outside thecriticalstrip [Elektronische Daten] [YoungJu Choie, Nikolaos Diamantis] We incorporate the non-critical values of L-functions of cusp forms into a cohomological set-up analogous to the one of Eichler, Manin and Shimura. We use the 1-cocycles we associate in this way to non-critical values to prove an expression for such values which is similar in structure to Manin's formula for the critical value of the L-function of a weight 2 cusp form. Springer Science+Business Media, LLC, 2007 Non-critical values nationallicence L -functions nationallicence Periods nationallicence 1-cocycles nationallicence Hecke operators nationallicence Choie YoungJu Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Kyungbuk, Republic of Korea aut Diamantis Nikolaos School of Mathematical Sciences, University of Nottingham, NG7 2RD, Nottingham, UK aut The Ramanujan Journal Springer US; http://www.springer-ny.com 14/3(2007-12-01), 339-350 1382-4090 14:3<339 2007 14 11139 https://doi.org/10.1007/s11139-007-9034-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-007-9034-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Choie YoungJu Department of Mathematics, Pohang University of Science and Technology, 790-784, Pohang, Kyungbuk, Republic of Korea aut NATIONALLICENCE 700 1- Diamantis Nikolaos School of Mathematical Sciences, University of Nottingham, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 773 0- The Ramanujan Journal Springer US; http://www.springer-ny.com 14/3(2007-12-01), 339-350 1382-4090 14:3<339 2007 14 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer