Y. Manin. (2008)cite arxiv:0803.3270
Comment: 25 pages. Typos fixed, a dedication to F. Hirzebruch added.
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 Lévy--Mellin
transforms in the sec. 2. The whole paper is an extended footnote to the
Lewis--Zagier fundamental study LZ2.
%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
}