We study two rather different problems,one arising from Diophantine Geometry and other from Fourier Analysis,which lead to very similar questions,namely the study of the ranks of matrices with entries either zero or((xy/q)),0<=x,y<q,where ((u))=u-[u]-1/2 denotes the "centered" fractional part of x.These ranks, in turn,are closely connected with the non vanishing of the Dirichlet L-functions at s=1.
Two problems related to the non-vanishing of $L(1,\chi)$
CODECA', Paolo;
1998
Abstract
We study two rather different problems,one arising from Diophantine Geometry and other from Fourier Analysis,which lead to very similar questions,namely the study of the ranks of matrices with entries either zero or((xy/q)),0<=x,yFile in questo prodotto:
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