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In the topological setting, this group of torsion elements occurs as the kernel of a properly discontinuous action.. This theorem was proved in several steps, where the first step
In the modern Number theory, the problems, concerning representation of natural numbers as a sum of two summands of a special type, are of interest... The sums Γ 2 and Γ 3 can
Upon combining these two entries, he also noted that it was not officially a theorem (that the product of the Fibonacci and Pell numbers was always equal to the number of domino
To prove this, we use the same idea as in the proof of the theorem of Bichteler–Dellacherie–Mokobodzki which consists in the following: the continuity of the functional J and
The proof of Lemma 9 is based on the well-known Besicovitch theorem on possible values of upper and lower derivative numbers (see [1], Ch.IV,.. § 3) and is carried out analogously
The question of the rep- resentation of natural numbers by the direct sum of some binary quadratic forms was for the first time considered by Petersson [1]... These
In particular, we obtain an algebraic estimate for the index of a quasi-homogeneous vector field (Theorem 1) in terms of analogues of the so-called Petrovsky numbers [1].. This
The singularity of the Cayley numbers was also proved: a theorem due to Bruck and Kleinfeld (1957) asserts that an alternative division ring is neces- sarily a division algebra
