A zero of an L-function is dangerous because its reciprocal blows up there. This Short sketches a proposed way to turn that danger into a contradiction using a cubic theta sum.
#analyticnumbertheory #thetasums #poissonsummation #lfunctions
A zero of an L-function is dangerous because its reciprocal blows up there. This Short sketches a proposed way to turn that danger into a contradiction using a cubic theta sum.
#analyticnumbertheory #thetasums #poissonsummation #lfunctions
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis
Invert a function and its zeros become singularities. If an L-function L(s, χ) vanishes at a point, then 1/L(s, χ) blows up there: the zero becomes a pole.
#riemannzeta #lfunctions #mobiusfunction #complexanalysis
Follow for the equations hiding behind the news.
#numbertheory #riemannzeta #lfunctions #mathematics
Follow for the equations hiding behind the news.
#numbertheory #riemannzeta #lfunctions #mathematics
Follow for the equations hiding behind the news.
#numbertheory #riemannzeta #lfunctions #lean
Follow for the equations hiding behind the news.
#numbertheory #riemannzeta #lfunctions #lean