4-manifold topology Baker’s theorem Banach ∗-probability spaces C*-algebras Dehn surgeries Gel’fond–Schneider theorem IC-POVMs Kaprekar constants Kaprekar transformation Lucas’ result on the Pascal’s triangle Mathematics & science Miller–Rabin primality test Prime Number Theorem (P.N.T.) Pólya-Hilbert conjecture Research & information: general Riemann interferometer algebraic number asymptotic semicircular laws binary periodical sequences branch coverings branched coverings charge as Hirzebruch defect congruences of binomial expansions fixed points for recursive functions free probability knot theory knots and links limited intervals logarithmic integral estimations modified Sieve procedure