#zerodensityestimate — Public Fediverse posts

@tao , following the Guth-Maynard result discussed here, I have been working on a possible refinement of the 30/13 zero-density coefficient for the Riemann zeta-function.

My current manuscript obtains the coefficient 24000/10451 < 30/13. The main idea is to preserve the centered frequency Gram structure through the physical determinant-line decomposition, rather than scalarizing it prematurely.

I would be very grateful for expert scrutiny, especially of the centered physical-transfer and shell-local moment arguments.

Preprint: https://www.researchgate.net/publication/412304924_A_Zero-Density_Estimate_with_Coefficient_2400010451_3013_for_the_Riemann_Zeta-Function

#numbertheory #AnalyticNumberTheory #RiemannZeta #ZetaFunction #ZeroDensityEstimate #ZeroDensity #LFunctions #PrimeNumbers

@tao , following the Guth-Maynard result discussed here, I have been working on a possible refinement of the 30/13 zero-density coefficient for the Riemann zeta-function.

My current manuscript obtains the coefficient 24000/10451 < 30/13. The main idea is to preserve the centered frequency Gram structure through the physical determinant-line decomposition, rather than scalarizing it prematurely.

I would be very grateful for expert scrutiny, especially of the centered physical-transfer and shell-local moment arguments.

Preprint: https://www.researchgate.net/publication/412304924_A_Zero-Density_Estimate_with_Coefficient_2400010451_3013_for_the_Riemann_Zeta-Function

#numbertheory #AnalyticNumberTheory #RiemannZeta #ZetaFunction #ZeroDensityEstimate #ZeroDensity #LFunctions #PrimeNumbers

@tao , following the Guth-Maynard result discussed here, I have been working on a possible refinement of the 30/13 zero-density coefficient for the Riemann zeta-function.

My current manuscript obtains the coefficient 24000/10451 < 30/13. The main idea is to preserve the centered frequency Gram structure through the physical determinant-line decomposition, rather than scalarizing it prematurely.

I would be very grateful for expert scrutiny, especially of the centered physical-transfer and shell-local moment arguments.

Preprint: https://www.researchgate.net/publication/412304924_A_Zero-Density_Estimate_with_Coefficient_2400010451_3013_for_the_Riemann_Zeta-Function

#numbertheory #AnalyticNumberTheory #RiemannZeta #ZetaFunction #ZeroDensityEstimate #ZeroDensity #LFunctions #PrimeNumbers

@tao , following the Guth-Maynard result discussed here, I have been working on a possible refinement of the 30/13 zero-density coefficient for the Riemann zeta-function.

My current manuscript obtains the coefficient 24000/10451 < 30/13. The main idea is to preserve the centered frequency Gram structure through the physical determinant-line decomposition, rather than scalarizing it prematurely.

I would be very grateful for expert scrutiny, especially of the centered physical-transfer and shell-local moment arguments.

Preprint: https://www.researchgate.net/publication/412304924_A_Zero-Density_Estimate_with_Coefficient_2400010451_3013_for_the_Riemann_Zeta-Function

#numbertheory #AnalyticNumberTheory #RiemannZeta #ZetaFunction #ZeroDensityEstimate #ZeroDensity #LFunctions #PrimeNumbers

@tao , following the Guth-Maynard result discussed here, I have been working on a possible refinement of the 30/13 zero-density coefficient for the Riemann zeta-function.

My current manuscript obtains the coefficient 24000/10451 < 30/13. The main idea is to preserve the centered frequency Gram structure through the physical determinant-line decomposition, rather than scalarizing it prematurely.

I would be very grateful for expert scrutiny, especially of the centered physical-transfer and shell-local moment arguments.

Preprint: https://www.researchgate.net/publication/412304924_A_Zero-Density_Estimate_with_Coefficient_2400010451_3013_for_the_Riemann_Zeta-Function

#numbertheory #AnalyticNumberTheory #RiemannZeta #ZetaFunction #ZeroDensityEstimate #ZeroDensity #LFunctions #PrimeNumbers