On Mordell's theorem
The simplest proof of Vandiver's theorem
On representations of numbers by sums of squares and quadratic fields
Leudesdorf's theorem and Bernoulli numbers
For , , it is proved the relations between the sums and Bernoulli numbers. The result supplements the known theorems of C. Leudesdorf, N. Rama Rao and others. As the application it is obtained some connections between the sums and Agoh’s functions, Wilson quotients, the indices irregularity of Bernoulli numbers.
К оценке регулятора алгебраического поля
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