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- W2949622897 abstract "Let $G_{2n}$ be the Eisenstein series of weight $2n$ for the full modular group $Gamma=SL_2(ZZ)$. It is well-known that the space $M_{2k}$ of modular forms of weight $2k$ on $Gamma$ has a basis ${G_{4}^alpha G_{6}^beta | alpha,betainZZ, alpha,betageq 0, 4alpha+6beta=2k}$. In this paper we will exhibit another (simpler) basis for $M_{2k}$. It is given by ${G_{2k}}cup{G_{4i}G_{2k-4i} | i=1,2,ldots,d_k}$ if $2kequiv 0pmod 4$, and ${G_{2k}}cup{G_{4i+2}G_{2k-4i-2} | i=1,2,ldots,d_k}$ if $2kequiv 2pmod 4$ where $d_k+1=dim_{CC} M_{2k}$." @default.
- W2949622897 created "2019-06-27" @default.
- W2949622897 creator A5063055035 @default.
- W2949622897 date "2010-08-24" @default.
- W2949622897 modified "2023-09-27" @default.
- W2949622897 title "A new basis for the space of modular forms" @default.
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