Results 171 to 180 of about 562 (207)

Quantitative modeling of the emergence of macroscopic grid-like representations. [PDF]

Elife
Bin Khalid I, Reifenstein ET, Auer N, Kunz L, Kempter R.   +4 more
europepmc   +1 more source

Evaluating isogenies in polylogarithmic time.

IACR Cryptol. ePrint Arch., 2022
openaire   +2 more sources

Effective Gluon Interactions from Superstring Disk Amplitudes [PDF]

, 2006
Oprisa, Dan
core  

New integral representations of the polylogarithm function

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2007
Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function and the frequently used generalizations of the dilogarithm, the most important among them being the polylogarithm function Li-s(z).
Djurdje Cvijovic
exaly   +2 more sources

Convex Families of q-Derivative Meromorphic Functions Involving the Polylogarithm Function

Symmetry, 2023
The aim of this research study is to establish a novel subclass of meromorphic functions in the mean of q-derivatives in combination with the well-known polylogarithm function. Two additional subfamilies for this class are also defined.
Dr. khadeejah Alhindi
exaly   +2 more sources

The Hodge realization of the polylogarithm on the product of multiplicative groups [PDF]

Mathematische Zeitschrift, 2020
The purpose of this article is to describe explicitly the polylogarithm class in absolute Hodge cohomology of a product of multiplicative groups, in terms of the Bloch-Wigner-Ramakrishnan polylogarithm functions.
Shuji Yamamoto, Kenichi Bannai
exaly   +2 more sources

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Polylogarithmic inapproximability

Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, 2003
We provide the first hardness result of a polylogarithmic approximation ratio for a natural NP-hard optimization problem. We show that for every fixed e>0, the GROUP-STEINER-TREE problem admits no efficient log2-e k approximation, where k denotes the number of groups (or, alternatively, the input size), unless NP has quasi polynomial Las-Vegas ...
Eran Halperin, Robert Krauthgamer
openaire   +2 more sources

Polylogarithms

Oberwolfach Reports, 2005
The k -th polylogarithm function is defined on |z|<1 by Li_k(z) = \sum_{n\geq 1} \
Spencer Bloch, Guido Kings, Jörg Wildeshaus   +2 more
openaire   +1 more source

On a Certain Subclass of Analytic Functions Involving Integral Operator Defined by Polylogarithm Function

Mathematics, 2019
In the present paper, we have introduced a new subclass of analytic functions involving integral operator defined by polylogarithm function. Necessary and sufficient conditions are obtained for this class.
Danyal Soybaş
exaly   +2 more sources