caa a22 4500 463178068 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s11139-007-9033-9 doi (NATIONALLICENCE)springer-10.1007/s11139-007-9033-9 Kilbourn Timothy Department of Mathematics, University of Illinois, 61801, Urbana, IL, USA aut Differential automorphisms for modular forms on Γ0(4) [Elektronische Daten] [Timothy Kilbourn] If $k\in\frac{1}{2}\mathbb{N}$ , then let M k (Γ0(4)) be the usual space of half integral weight modular forms. Ono constructed differential endomorphisms of M k (Γ0(4)) by using the usual differential operator. Here we construct a similar set of differential endomorphisms using a linear combination of the differential operator and the quasi-modular forms E 2, E 2|V 2, and E 2|V 4. We compute a full set of eigenforms with eigenvalues, and we prove that these endomorphisms are in fact automorphisms. Springer Science+Business Media, LLC, 2007 Modular forms nationallicence Differential operators nationallicence The Ramanujan Journal Springer US; http://www.springer-ny.com 14/2(2007-10-01), 329-337 1382-4090 14:2<329 2007 14 11139 https://doi.org/10.1007/s11139-007-9033-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-007-9033-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kilbourn Timothy Department of Mathematics, University of Illinois, 61801, Urbana, IL, USA aut NATIONALLICENCE 773 0- The Ramanujan Journal Springer US; http://www.springer-ny.com 14/2(2007-10-01), 329-337 1382-4090 14:2<329 2007 14 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer