Hilbert's ninth problem, from the list of 23 Hilbert's problems (1900), asked to find the most general reciprocity law for the norm residues of k-th order ...

Hilbert's ninth problem is on algebraic number fields, extensions of the rational numbers to include, say, √2 or certain complex numbers.

6 мая 2020 г. · 9. RECIPROCITY LAWS AND ALGEBRAIC NUMBER FIELDS. Hilbert's ninth problem is on algebraic number fields, extensions of the rational numbers to ...

Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time.

What I suggest is that, at the min- imum, Peirce did have Hilbert's ninth and tenth problem. And, assuming that the dating of the manuscript is correct, he ...

18 мар. 2018 г. · D. Hilbert presented a list of open problems. The published version [a18] contains 23 problems, though at the meeting Hilbert discussed but ten of them.

The following article by Tate focuses on Hilbert's ninth problem asking for the most general reciprocity law. After discussing the history, Tate studies ...

9. Construct generalizations of the reciprocity theorem of number theory. 10. Does there exist a universal algorithm for solving Diophantine equations? The ...

4 сент. 2019 г. · Hilbert is asking not how to find an integral solution, but how to determine if such a solution exists. (Analogue: it is known that 2214 + 1 is ...

9. Proof of the most general law of reciprocity in any number field. For any field of numbers the law of reciprocity is to be proved for the residues of the l- ...