Linear relations for certain modular forms
โ Scribed by J. H. van Lint
- Publisher
- John Wiley and Sons
- Year
- 1959
- Tongue
- English
- Weight
- 187 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We confirm a conjecture of L. Merel (H. Darmon and L. Merel, J. Reine Angew. Math. 490 (1997), 81-100) describing a certain relation between the jacobians of various quotients of X p in terms of specific correspondences. The method of proof involves reducing this conjecture to a question about certa
We attempt to obtain new modular relations for the Gรถllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Gรถllnitz-Gordon functions which have
## Abstract In this paper we study linear fractional relations defined in the following way. Let โ๏ธ~__i__~ and โ๏ธ~__i__~ ^โฒ^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from โ๏ธ~__j__~ to โ๏ธ~__i__~ ^โฒ^ by __L__ (โ๏ธ~__j__~ , โ๏ธ~__i__~ ^โฒ^). Let __T__ โ
Let G be a connected semisimple Lie group with finite center, and suppose G contains a compact Cartan subgroup T. Certain irreducible unitary representations of G arise as spaces of harmonic forms associated to Dolbeault cohomology of line bundles over the complex homogeneous space GรT. In this work