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Brun–Titchmarsh theorem — In analytic number theory, the Brun–Titchmarsh theorem is an upper bound on the distribution of primes in arithmetic progression. It states that, if pi(x;a,q) counts the number of primes p congruent to a modulo q with p ≤ x , then:pi(x;a,q) le… … Wikipedia
Titchmarsh convolution theorem — The Titchmarsh convolution theoremis named after Edward Charles Titchmarsh.The theorem describes the properties of the support of the convolutionof two functions. Titchmarsh convolution theorem E.C. Titchmarshproved the following theorem in 1926 … Wikipedia
Edward Charles Titchmarsh — Naissance 1er juin 1899 Newbury (Berkshire) (Angleterre) Décès 18 janvier 1963 (à 63 ans) Oxford (Angleterre) Nationalité … Wikipédia en Français
Edward Charles Titchmarsh — Infobox Scientist name = Edward Charles Titchmarsh box width = image width = caption = birth date = birth date|1899|06|01 birth place = Newbury, Berkshire, England death date = death date and age|1963|01|18|1899|06|01 death place = Oxford,… … Wikipedia
Dirichlet's theorem on arithmetic progressions — In number theory, Dirichlet s theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n ≥ 0. In other… … Wikipedia
Hurwitz's theorem — In mathematics, Hurwitz s theorem is any of at least five different results named after Adolf Hurwitz. Hurwitz s theorem in complex analysis In complex analysis, Hurwitz s theorem roughly states that, under certain conditions, if a sequence of… … Wikipedia
Carlson's theorem — In mathematics, in the area of complex analysis, Carlson s theorem is a uniqueness theorem about a summable expansion of an analytic function. It is typically invoked to defend the uniqueness of a Newton series expansion. Carlson s theorem has… … Wikipedia
Hadamard three-circle theorem — In complex analysis, a branch of mathematics, the Hadamard three circle theorem is a result about the behavior of holomorphic functions.Let f(z) be a holomorphic function on the annulus :r 1leqleft| z ight| leq r 3. Let M(r) be the maximum of… … Wikipedia
Mellin inversion theorem — In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two sided Laplace transform, are defined and recover the transformed function. If… … Wikipedia
Borel–Carathéodory theorem — In mathematics, the Borel–Carathéodory theorem in complex analysis shows that an analytic function may be bounded by its real part. It is an application of the maximum modulus principle. It is named for Émile Borel and Constantin Carathéodory.… … Wikipedia
