- electrodynamics,
polylogarithms of
positive integer order arise in the
calculation of
processes represented by higher-order
Feynman diagrams. The
polylogarithm function...
- In mathematics, the
incomplete polylogarithm function is
related to the
polylogarithm function. It is
sometimes known as the
incomplete Fermi–Dirac integral...
- {z^{k}}{k^{n}}}} The
following is a
useful property to
calculate low-integer-order
polylogarithms recursively in
closed form: d d z Li n ( z ) = Li n − 1 ( z ) z...
- _{n}(-z)\right].} Lewin, Leonard, ed. (1991),
Structural Properties of
Polylogarithms, Providence, RI:
American Mathematical Society, ISBN 0-8218-4532-2....
- MR 0239733.
Leonard Lewin, (Ed.).
Structural Properties of
Polylogarithms (1991)
American Mathematical Society, Providence, RI. ISBN 0-8218-4532-2...
- at the 1994
International Congress of
Mathematicians and gave a talk
Polylogarithms in
arithmetic and geometry. In 2019,
Goncharov was
appointed the Philip...
- Bk
appearing in the
series for tanh x are the
Bernoulli numbers. The
polylogarithms have
these defining identities: Li 2 ( x ) = ∑ n = 1 ∞ 1 n 2 x n Li...
- 1007/978-1-4612-0457-2_18. ISBN 978-1-4612-6769-0. Zagier, Don (1991). "
Polylogarithms,
Dedekind Zeta Functions, and the
Algebraic K-Theory of Fields". Arithmetic...
-
algebraic geometry as
differential forms with
logarithmic poles. The
polylogarithm is the
function defined by Li s ( z ) = ∑ k = 1 ∞ z k k s . {\displaystyle...
- imq}}{m^{s}}}=\operatorname {Li} _{s}\left(e^{2\pi iq}\right)}
where Lis(z) is the
polylogarithm. It
obeys the
duplication formula 2 1 − s F ( s ; q ) = F ( s , q 2...
