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CUSP FORMS WITH CHARACTERS OF THE LEVEL P4
- Authors: Voskresenskaya G.V.1
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Affiliations:
- Department of Algebra and Geometry, Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian Federation.
- Issue: Vol 22, No 1-2 (2016)
- Pages: 18-26
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4261
- DOI: https://doi.org/10.18287/2541-7525-2016-22-1-2-18-26
- ID: 4261
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Abstract
In the article we prove structure theorems for spaces of cusp forms with characters of a level p. The spaces are decomposed in the direct sum of three subspaces. The first subspace is essencial. The eta-quotions play an important role in the investigations. The divisor of the functions is concentrated in cusps. The theorem about the structure of spaces of modular forms with characters is proved. We discuss the question about generators of these spaces and K.Ono’s problem. Dimensions of spaces are calculated by the Cohen — Oesterle formula, the orders in cusps are calculated by the Biagioli formula.
About the authors
G. V. Voskresenskaya
Department of Algebra and Geometry,Samara University, 34, Moskovskoye Shosse, Samara, 443086, Russian Federation.
Author for correspondence.
Email: morenov.sv@ssau.ru
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