“Hasse Principle”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hasse Principle

释义

Hasse Principle

A collection of equations satisfies the Hasse principle if, whenever one of the equations has solutions in andall the , then the equations have solutions in the Rationals . Examples include the set of equations

with

, and

Integers, and the set of equations

for

rational. The trivial solution

is usually not taken into account when deciding if a collection ofhomogeneous equations satisfies the Hasse principle. The Hasse principle is sometimes called theLocal-Global Principle.

See also Local Field

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