logarithmic residue

См. также в других словарях:

• Logarithmic derivative — In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where f ′ is the derivative of f. When f is a function f(x) of a real variable x, and takes real, strictly… …   Wikipedia

• Logarithmic form — Any formula written in terms of logarithms may be said to be in logarithmic form.Logarithmic differential formsIn contexts including complex manifolds and algebraic geometry, a logarithmic differential form is a 1 form that, locally at least, can …   Wikipedia

• Argument principle — In complex analysis, the Argument principle (or Cauchy s argument principle) states that if f ( z ) is a meromorphic function inside and on some closed contour C , with f having no zeros or poles on C , then the following formula holds: oint {C}… …   Wikipedia

• Renato Caccioppoli — (pronounced|katˈtʃɔpːoli) (20 January, 1904 – 8 May, 1959) was a noted Italian mathematician.BiographyBorn in Naples, Italy, he was the son of Giuseppe Caccioppoli (1852 1947), a noted Neapolitan surgeon, and his second wife Sofia Bakunin (1870… …   Wikipedia

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… …   Wikipedia

• Polylogarithm — Not to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or power series: It is in general not an elementary function, unlike …   Wikipedia

• List of complex analysis topics — Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied …   Wikipedia

• Class number formula — In number theory, the class number formula relates many important invariants of a number field to a special value of its Dedekind zeta function Contents 1 General statement of the class number formula 2 Galois extensions of the rationals 3 A …   Wikipedia

• Differential of the first kind — In mathematics, differential of the first kind is a traditional term used in the theories of Riemann surfaces (more generally, complex manifolds) and algebraic curves (more generally, algebraic geometry), for everywhere regular differential 1… …   Wikipedia

• Landau prime ideal theorem — In mathematics, the prime ideal theorem of algebraic number theory is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime ideals of a number field K , with norm at most X …   Wikipedia