Results 91 to 100 of about 5,153,606 (196)

The polylogarithm in algebraic number fields [PDF]

, 1985
Based on Kummer's 2-variable functional equations for the second through fifth orders of the polylogarithm function, certain linear combinations, with rational coefficients, of polylogarithms of powers of an algebraic base were discovered to possess ...
Lewin, L, Abouzahra, M
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A construction of the polylogarithm motive [PDF]

Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation.
Clément Dupont, Javier Fresán
core   +1 more source

Moduli spaces and multiple polylogarithm motives [PDF]

, 2005
In this paper, we give a natural construction of mixed Tate motives whose periods are a class of iterated integrals which include the multiple polylogarithm functions.
Wang, Qingxue, Qingxue Wang
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Linear Combination of Order Statistics Moments from Log-Extended Exponential Geometric Distribution with Applications to Entropy

Mathematics
Moments of order statistics (OSs) characterize the Weibull–geometric and half-logistic families of distributions, of which the extended exponential–geometric (EEG) distribution is a particular case. The EEG distribution is used to create the log-extended
Fatimah E. Almuhayfith, Mahfooz Alam, Hassan S. Bakouch, Sudeep R. Bapat, Olayan Albalawi   +4 more
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A new generalization of the Riemann zeta function and its difference equation

Advances in Difference Equations, 2011
We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar, Tassaddiq Asifa, Chaudhry Muhammad   +2 more
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A note on polylogarithms and incomplete gamma function

Applicable Analysis and Discrete Mathematics, 2020
In this paper, we firstly introduce the polylogarithms and incomplete gamma function. Then, we claim that there is a relation between polylogarithms and a generalization of incomplete gamma function. Secondly, we give a formula related to polylogarithms. Also, we obtain a relation between incomplete gamma function and the derivatives of polylogarithms.
openaire   +1 more source

Extended Wang sum and associated products. [PDF]

PLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

An enhancement of Zagier’s polylogarithm conjecture

, 2019
Let m ≥ 2 m\geq 2 be a natural number and let A \mathcal {A} be an ideal class of an imaginary quadratic number field. Zagier and Gangl constructed C
Nobuo Sato
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Ramaswami type translation formulae for the polylogarithm functions

The Ramanujan Journal
In 1934, Ramaswami proved a number of curious translation formulae satisfied by the Riemann zeta function. Such translation formulae, in turn give the meromorphic extension of the Riemann zeta function. In 1954, Apostol extended those identities to establish a family of such similar translation formulae.
Pawan Singh Mehta, Biswajyoti Saha
openaire   +2 more sources

Identities in the spirit of Euler

Extracta Mathematicae, 2020
In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p + 2, for p an odd integer, but with a non unitary argument of the harmonic numbers.
A. Sofo
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