The weak Gram law for Hecke $$ L $$ -functions
Tóm tắt
We generalize a theorem by Titchmarsh about the mean value of Hardy’s
$$Z$$
-function at the Gram points to the Hecke
$$L$$
-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.
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