János Pintz: On the Density Hypothesis of the Selberg class I

We prove a general zero density theorem on the Selberg class of functions. The result verifies the Density Hypothesis in the strip when the real part of the variable is at least 0.9 under the assumption that the degree of the function does not exceed 2. In the other cases we obtain a density theorem which is weaker than the Density Hypothesis in the whole critical strip.

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