On the uniform distribution of the zero ordinates of the $L-$function associated with $\theta(z)^{-3}\,\eta(2z)^{12}$

Pedro Ribeiro

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arXiv · 2407.14173

On the uniform distribution of the zero ordinates of the $L-$function associated with $\theta(z)^{-3}\,\eta(2z)^{12}$

Pedro Ribeiro

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Abstract

We show that the ordinates of the nontrivial zeros of certain $L-$functions attached to half-integral weight cusp forms are uniformly distributed modulo one.

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Pedro Ribeiro. 2024-07-19. On the uniform distribution of the zero ordinates of the $L-$function associated with $\theta(z)^{-3}\,\eta(2z)^{12}$. https://arxiv.org/abs/2407.14173

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