A simple derivation of $\zeta(1-K)=-B_K/K$

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A SIMPLE DERIVATION OF ζ ( 1 − k ) = − Bk / k

We will show that ζK(s, x) extends for all s ∈ C and is analytic everywhere except at s = 1 where it has a simple pole. It turns out that the special values ζK(1 − k, x) can be written as a polynomial in x, thus giving a generalization of the Bernoulli polynomials (in the case K is totally real). This work had its genesis in looking for simple proofs of the well-known formula ζ(1−k) = −Bk/k, wh...

متن کامل

SIMPLE DERIVATION OF FRANCK-CONDON INTEGRALS

The expressions foavibrational overlap integrals of the one-dimensional harmonic wavefunctions (centenxi about different equilibrium positions and having different frequencies) have been derived in a simple and straightforward way.

متن کامل

simple derivation of franck-condon integrals

the expressions foavibrational overlap integrals of the one-dimensional harmonic wavefunctions (centenxi about different equilibrium positions and having different frequencies) have been derived in a simple and straightforward way.

متن کامل

A Simple Derivation of the JIMWLK Equation

A simple derivation of the Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov and Kovner (JIMWLK) equation for the evolution of small-x QCD wavefunctions is given. The derivation makes use of the equivalence between the evolution of a (in general complicated) small x wavefunction with that of the evolution of the (simple) dipole probing the wavefunction in a high energy scattering.

متن کامل

solvmanifolds with a simple Einstein derivation

The structure of a solvable Lie groups admitting an Einstein left-invariant metric is, in a sense, completely determined by the nilradical of its Lie algebra. We give an easy-to-check necessary and sufficient condition for a nilpotent algebra to be an Einstein nilradical whose Einstein derivation has simple eigenvalues. As an application, we classify filiform Einstein nilradicals (modulo known ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici

سال: 2000

ISSN: 0208-6573

DOI: 10.7169/facm/1538186691