Mertens' theorems — For Mertens theorem on convergence of Cauchy products of series, see Cauchy product#Convergence and Mertens.27 theorem. In number theory, Mertens theorems are three 1874 results related to the density of prime numbers proved by Franz Mertens… … Wikipedia
Mertens function — to n=10,000 Mertens function to n=10,000,000 In … Wikipedia
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
Mertens conjecture — In mathematics, the Mertens conjecture is the incorrect statement that the Mertens function M(n) is bounded by √n, which implies the Riemann hypothesis. It was conjectured by Stieltjes in a 1885 letter to Hermite (reprinted in Stieltjes 1905) and … Wikipedia
Théorème de Mertens — En théorie des nombres, trois théorèmes de Mertens, démontrés en 1874 par Franz Mertens[1], sont reliés à la densité des nombres premiers. Un autre théorème de Mertens, en analyse, porte sur le produit de Cauchy de deux séries. Dans ce qui suit,… … Wikipédia en Français
Meissel–Mertens constant — The Meissel–Mertens constant (named after Ernst Meissel and Franz Mertens), also referred to as Mertens constant, Kronecker s constant, Hadamard–de la Vallée Poussin constant or prime reciprocal constant, is a mathematical constant in number… … Wikipedia
Meissel-Mertens constant — The Meissel Mertens constant, also referred to as Mertens constant, Kronecker s constant, Hadamard de la Vallée Poussin constant or prime reciprocal constant, is a mathematical constant, used mainly in number theory, and is defined as the… … Wikipedia
Cauchy product — In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… … Wikipedia
Hilbert–Schmidt operator — In mathematics, a Hilbert–Schmidt operator is a bounded operator A on a Hilbert space H with finite Hilbert–Schmidt norm, meaning that there exists an orthonormal basis {e i : i in I} of H with the property:sum {iin I} |Ae i|^2 < infty. If this… … Wikipedia
Sequence transformation — In mathematics, a sequence transformation is an operator acting on a given space of sequences. Sequence transformations include linear mappings such as convolution with another sequence, and resummation of a sequence and, more generally, are… … Wikipedia
