1988Nagoya Mathematical JournalOpen access

The dimension formula of the space of cusp forms of weight one for Γ0(p)

Yoshio Tanigawa, Hirofumi Ishikawa

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Abstract

The purpose of this paper is to study the dimension formula for cusp forms of weight one, following the series of Hiramatsu [2] and Hiramatsu-Akiyama [3]. We define as usual the subgroup Γ0(N) of SL2(Z) by .

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What this paper is about

The purpose of this paper is to study the dimension formula for cusp forms of weight one, following the series of Hiramatsu [2] and Hiramatsu-Akiyama [3]. We define as usual the subgroup Γ0(N) of SL2(Z) by .

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Available abstract

The purpose of this paper is to study the dimension formula for cusp forms of weight one, following the series of Hiramatsu [2] and Hiramatsu-Akiyama [3]. We define as usual the subgroup Γ0(N) of SL2(Z) by .

Key concepts: Mathematics, Cusp (singularity), Cusp form, Dimension (graph theory), Series (stratigraphy), Space (punctuation), Pure mathematics, Combinatorics

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