GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II
GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II
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二次数域的 DEDEKIND ZETA 函数的零点之间的间隙。
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
C. Turnage
中科院分区：
文献类型：
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作者：
H. Bui;Winston Heap;C. Turnage
设$K$是一个二次数域，$zeta_K（s）$是相应的Dedekind zeta函数。我们证明了在临界线上zeta_K（s）的连续零点之间存在无穷多个归一化间隙，它们大于平均间距的2.866倍。
Let $K$ be a quadratic number field and $zeta_K(s)$ be the associated Dedekind zeta-function. We show that there are infinitely many normalized gaps between consecutive zeros of $zeta_K(s)$ on the critical line which are greater than $2.866$ times the average spacing.