Number Theory and Symmetry

Number Theory and Symmetry


English[eng]


quantum computation||IC-POVMs||knot theory||three-manifolds||branch coverings||Dehn surgeries||zeta function||Pólya-Hilbert conjecture||Riemann interferometer||prime numbers||Prime Number Theorem (P.N.T.)||modified Sieve procedure||binary periodical sequences||prime number function||prime characteristic function||limited intervals||logarithmic integral estimations||twin prime numbers||free probability||p-adic number fields ℚp||Banach ∗-probability spaces||C*-algebras||semicircular elements||the semicircular law||asymptotic semicircular laws||Kaprekar constants||Kaprekar transformation||fixed points for recursive functions||Baker’s theorem||Gel’fond–Schneider theorem||algebraic number||transcendental number||standard model of elementary particles||4-manifold topology||particles as 3-Braids||branched coverings||knots and links||charge as Hirzebruch defect||umbral moonshine||number of generations||the pe-Pascal’s triangle||Lucas’ result on the Pascal’s triangle||congruences of binomial expansions||primality test||Miller–Rabin primality test||strong pseudoprimes||primality witnesses