barnes zeta function造句

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barnes zeta function The special case when " k " = 1 is the Barnes zeta function.
alternating zeta function An equivalent relationship had been conjectured by Euler over a hundred years earlier, in 1749, for the Dirichlet eta function ( alternating zeta function ): This Dirichlet series is the a...
complex network zeta function Algorithms to calculate the complex network zeta function have been presented. The complex network zeta function and the graph surface function were introduced to characterize large graphs...
congruence zeta function Ihara received his PhD at the University of Tokyo in 1967 with thesis " Hecke polynomials as congruence zeta functions in elliptic modular case ".
dedekind zeta function The extended Riemann hypothesis extends the Riemann hypothesis to all Dedekind zeta functions of algebraic number fields. He later formulated a general conjecture giving formulas for speci...
hurwitz zeta function Hurwitz zeta function corresponding to q = 1 / 3. This operator also has a continuous spectrum consisting of the Hurwitz zeta function. This representation can be written more compactly in...
ihara zeta function In the 1960s he introduced the eponymous Ihara zeta function. As observed by Toshikazu Sunada, a regular graph is Ramanujan if and only if its Ihara zeta function satisfies an analog of th...
local zeta function For those, the definition of local zeta function can be recovered in terms of the characteristic polynomial of This fact can be understood and proven with the help of some general theory; ...
matsumoto zeta function He is mostly recognized for the Matsumoto zeta function, a zeta function named after him.
motivic zeta function If S is a smooth surface over an algebraically closed field of characteristic 0, then the generating function for the motives of the Hilbert schemes of S can be expressed in terms of the m...
multiple zeta function PSLQ has also helped find new identities involving multiple zeta functions and their appearance in quantum field theory; and in identifying bifurcation points of the logistic map. The stan...
periodic zeta function The Bernoulli polynomials may be obtained as a limiting case of the periodic zeta function, taking " s " to be an integer, and thus the multiplication theorem there can be derived from the...
reimann zeta function "It is remarkable that such simple physical system as harmonic oscillator is related to so significant mathematical object as the Reimann zeta function " . is given by the Riemann zeta fun...
riemann zeta function Here denotes the Riemann zeta function and ? the imaginary unit. He proved that Euler product formula for the Riemann zeta function. I'm proud of the Riemann zeta functions, though. A fund...
selberg zeta function They are encoded analytically by the Selberg zeta function. Also, there is a Selberg zeta function which is formally similar to the usual Riemann zeta function and shares many of its prope...
spectral zeta function The zeta function may also be expressible as a "'spectral zeta function "'in terms of the eigenvalues \ lambda _ i of the operator \ mathcal O by
weierstrass zeta function This relation can be proved by integrating the Weierstrass zeta function about the boundary of a fundamental region and applying Cauchy's residue theorem. Two important classes of algebrai...
weil zeta function where the product and the coefficients a _ n are defined in Hasse Weil zeta function. The description of the Hasse Weil zeta function " up to finitely many factors of its Euler product "...
zeta function where is the th Bernoulli number and is the Riemann zeta function. This shows that the zeta function is a rational function of t. A fundamental property of the Riemann zeta function is its...
zeta function regularization The implementation of this strategy is called zeta function regularization. So for such operators one can define the determinant using zeta function regularization. The most popular of whi...
zeta function regulator The general series is discussed in greater detail in the article on spectral asymmetry, whereas methods used to sum it are discussed in the articles on regularization and, in particular, t...
barnes and barnes The first Barnes and Barnes album, " Voobaha, " is being reissued from Rhino Records. Kircher was found guilty of demolition by neglect, and first Barnes and Barnes and then Beal Propertie...
function group function grouping Function group function grouping
function of function Minivans are supposed to be spacious, dummy-proof and practical, their success a function of function, not fashion. Using this idea, differentiation becomes a function of functions : The d...
alpha lambda zeta Membership in Alpha Lambda Zeta is not exclusive to women of a particular race or age. "' Alpha Lambda Zeta "'( "'??? "') a LGBT Greek-Lettered Organization, is a national non-collegiate s...