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Proof of two conjectures on supercongruences involving central binomial coefficients
No full texthttp://dx.doi.org/10.1017/S000497272000011
On -unfavourable spaces
No full textTo study when a paratopological group becomes a topological group, A.
V. Arhangel'skii et al. introduced the class of (;G)-unfavorable spaces. In
this paper we show that every -complete (resp. normal) (;G)-unfavorable
semitopological group is a topological group. It is proved that the product of
a (;G)-unfavorable space and a strongly Frechet (;G)-favorable space is
(;G)-unfavorable. We also show that continuous closed irreducible mappings
preserve the (;G)-unfavorableness in both directions. Some of other properties
of (;G)-unfavorable spaces are studied
Vanishing coefficients in quotients of theta functions of modulus five
No full texthttp://dx.doi.org/10.1017/S000497272000027
On the arithmetic structure of rational numbers in the Cantor set
No full texthttp://dx.doi.org/10.1017/S000497271200033
Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality
No full textDOI:
10.1017/S000497271900084
On discreteness of subgroups Of quaternionic hyperbolic isometries
No full textDOI:
10.1017/S000497271900087
On the crossing number of the join of the wheel on five vertices with the discrete graph
No full textDOI:
10.1017/S000497271900119