Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I need help with the following :

Jacobi showed that the number of solutions to w2+x2+y2+z2=n (all inetegers) is given by A(n) = 8*sum of divisors of n not divisible by 4

(see sloane's sequence

http://www.research.att.com/~njas/sequences/A000118 [Broken])

Now consider the following :

S(N) = Sigma [k=1,...,N] A(k)/k

When N grows , S(N) grows closer to N*PI^2

Now consider L(N) = S(N)- N*PI^2

From a little model I built on Excel, It looks like

L(N) = K + sum of periodic functions, where K = -0,6102

Can someone help me with finding an expression for K and finding if the spectrum of L(N) is, as I suspect, connected with the Riemann zeta zeros.

Thank you

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sum of 4 squares and Riemann zeros

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for squares Riemann zeros |
---|

I Can we construct a Lie algebra from the squares of SU(1,1) |

I Getting a matrix into row-echelon form, with zero-value pivots |

Least Square basic problem |

B ##AB = I \implies BA = I##, for square matricies ##A,B## |

**Physics Forums | Science Articles, Homework Help, Discussion**