On the Class Group Problem for Function Fields
نویسندگان
چکیده
منابع مشابه
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According to a celebrated conjecture of Gauß , there are infinitely many real quadratic fields whose ring of integers is principal. We recall this conjecture in the framework of global fields. If one removes any assumption on the degree, this leads to various related problems for which we give solutions; namely we prove that there are infinite families of principal rings of algebraic functions ...
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Number fields and global function fields have many similar properties. Both have many applications to cryptography and coding theory, and the main computational problems for number fields, such as computing the ring of integers and computing the class group and the unit group, have analogues over function fields. The complexity of the number field problems has been studied extensively and these...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1998
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2225