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A101435 Dimension of a certain space of modular forms of weight 2 and level p^2, where p runs through the primes > 3 that are == 3 mod 4. See reference for precise definition. 1

%I #11 Aug 31 2018 11:40:47

%S 1,1,1,3,3,3,5,5,5,7,7,7,9,9,11,11,11,13,13,15,15,17,17,17,19,19,21,

%T 21,23,23,23,25,27,27,29,31,31,31,33,35,37,37,37,39,39,41,41,41,41,43,

%U 43,45,47,47,49,51,51,51,53,53,55,55,57,57,61,61,61,63,63,65,67,69,69,71,71,73

%N Dimension of a certain space of modular forms of weight 2 and level p^2, where p runs through the primes > 3 that are == 3 mod 4. See reference for precise definition.

%H A. Pacetti and F. Rodriguez Villegas, <a href="https://doi.org/10.1090/S0025-5718-04-01709-0">Computing weight two modular forms of level p^2</a>, Math. Comp. 74 (2004), 1545-1557. See Table 1.

%p with(numtheory); L:=legendre; f:=p->(p+5)/12 + (1-L(-3,p))/3-(1-L(2,p))/2;

%Y Cf. A002143.

%K nonn

%O 1,4

%A _N. J. A. Sloane_, Nov 29 2006

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Last modified April 19 08:45 EDT 2024. Contains 371782 sequences. (Running on oeis4.)