%0 Generic %1 Manin2008 %A Manin, Yu I. %D 2008 %K maass modular symbols wave %T Remarks on modular symbols for Maass wave forms %U http://arxiv.org/abs/0803.3270 %X In this paper I introduce modular symbols for Maass wave cusp forms. They appear in the guise of finitely additive functions on the Boolean algebra generated by intervals with non--positive rational ends, with values in analytic functions (pseudo--measures in the sense of MaMar2). After explaining the basic issues and analogies in the extended Introduction, I construct modular symbols in the sec. 1 and the related Lévy--Mellin transforms in the sec. 2. The whole paper is an extended footnote to the Lewis--Zagier fundamental study LZ2.

@misc{Manin2008, abstract = { In this paper I introduce modular symbols for Maass wave cusp forms. They appear in the guise of finitely additive functions on the Boolean algebra generated by intervals with non--positive rational ends, with values in analytic functions (pseudo--measures in the sense of [MaMar2]). After explaining the basic issues and analogies in the extended Introduction, I construct modular symbols in the sec. 1 and the related L\'evy--Mellin transforms in the sec. 2. The whole paper is an extended footnote to the Lewis--Zagier fundamental study [LZ2]. }, added-at = {2010-11-29T17:58:32.000+0100}, author = {Manin, Yu I.}, biburl = {https://www.bibsonomy.org/bibtex/216303d735a2fc6b0f27de33eb9337ec7/uludag}, description = {Remarks on modular symbols for Maass wave forms}, interhash = {d0a004ed5b91a3a44d281fd2b49eae6b}, intrahash = {16303d735a2fc6b0f27de33eb9337ec7}, keywords = {maass modular symbols wave}, note = {cite arxiv:0803.3270 Comment: 25 pages. Typos fixed, a dedication to F. Hirzebruch added}, timestamp = {2010-11-29T17:58:32.000+0100}, title = {Remarks on modular symbols for Maass wave forms}, url = {http://arxiv.org/abs/0803.3270}, year = 2008 }