Gaps between the Zeros of Epstein’s Zeta-functions on the Critical Line
نویسندگان
چکیده
It is proved that Epstein’s zeta-function ζQ(s) related to a positive definite integral binary quadratic form has a zero 1 2 + iγ with T ≤ γ ≤ T + T 5/11+ε for sufficiently large positive numbers T . This improves a classical result of H. S. A. Potter and E. C. Titchmarsh. To Professor K. Ramachandra on his seventieth birthday
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