Fermat's last theorem and the second factor in the cyclotomic class number
نویسندگان
چکیده
منابع مشابه
Fermat's Last Theorem and T H E Second Factor in T H E Cyclotomic Class Number
where / is an odd prime and x, y, z are rational integers prime to each other and none zero, we shall refer to the case where xyz is prime to / as case I ; if xyz = 0 (mod I) then we call this case II . I now give a sketch of a proof of a theorem which appears to be the principal result I have so far found concerning the first case of the last theorem. THEOREM 1. If (1) is possible in case I, t...
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The Class Number of the Cyclotomic Field.
1. Let g denote any odd prime and h = h(g) the class number of the cyclotomic field R(r), where r is the primitive gth root of unity, R the rational numbers. It is known that we can write: h = h1h2, where hi and h2 (both integers) are the so-called first and second factors of the class number; in fact h2 is the class number of the real field of degree 2 under R(r), namely the field R(D + D-). K...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1934
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1934-05820-8