“Linnik's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Linnik's Theorem

释义

Linnik's Theorem

Let be the smallest Prime in the arithmetic progression for an Integer . Let

such that

and

. Then there exists a

and an

such that

for all

is known as Linnik's Constant.

References

Linnik, U. V. ``On the Least Prime in an Arithmetic Progression. I. The Basic Theorem.'' Mat. Sbornik N. S. 15 (57), 139-178, 1944.

Linnik, U. V. ``On the Least Prime in an Arithmetic Progression. II. The Deuring-Heilbronn Phenomenon'' Mat. Sbornik N. S. 15 (57), 347-368, 1944.

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