Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
Fuente:
arXiv
Saved in:
| Main Author: | Au, Kam Cheong |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023)
by: Au, Kam Cheong
Published: (2023)
On single-variable Witten zeta functions of rank two and three
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
Linear relations between $L$-values of newforms and moments of elliptic $K$ integral
by: Au, Kam Cheong
Published: (2025)
by: Au, Kam Cheong
Published: (2025)
Multiple zeta values, WZ-pairs and infinite sums computations
by: Au, Kam Cheong
Published: (2022)
by: Au, Kam Cheong
Published: (2022)
$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
by: Dixit, Atul, et al.
Published: (2024)
by: Dixit, Atul, et al.
Published: (2024)
Iterated Integrals and Multiple Polylogarithm at Algebraic Arguments
by: Au, Kam Cheong
Published: (2022)
by: Au, Kam Cheong
Published: (2022)
Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$
by: Dixit, Atul, et al.
Published: (2023)
by: Dixit, Atul, et al.
Published: (2023)
Discovering hypergeometric series with harmonic numbers via Wilf-Zeilberger seeds
by: Au, Kam Cheong
Published: (2026)
by: Au, Kam Cheong
Published: (2026)
Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities
by: Charge, Shashank, et al.
Published: (2024)
by: Charge, Shashank, et al.
Published: (2024)
Creative telescoping and generating functions of (variants of) multiple zeta values
by: Au, Kam Cheong, et al.
Published: (2024)
by: Au, Kam Cheong, et al.
Published: (2024)
A divisor function of Wigert and higher degree forms
by: Banerjee, Debika, et al.
Published: (2026)
by: Banerjee, Debika, et al.
Published: (2026)
Derivatives of Srivastava's hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)
by: Shehata, Ayman, et al.
Published: (2021)
Expansion formulas for elliptic hypergeometric series
by: Bhatnagar, Gaurav, et al.
Published: (2024)
by: Bhatnagar, Gaurav, et al.
Published: (2024)
On cellular rational approximations to $ζ(5)$
by: Brown, Francis, et al.
Published: (2022)
by: Brown, Francis, et al.
Published: (2022)
Series over Bessel functions as series in terms of Riemann's zeta function
by: Tričković, Slobodan B., et al.
Published: (2024)
by: Tričković, Slobodan B., et al.
Published: (2024)
On closed forms of some trigonometric series
by: Tričković, Slobodan B., et al.
Published: (2024)
by: Tričković, Slobodan B., et al.
Published: (2024)
The singularities of Selberg- and Dotsenko-Fateev-like integrals
by: Sussman, Ethan
Published: (2023)
by: Sussman, Ethan
Published: (2023)
On certain Gram matrices and their associated series
by: Ehm, Werner
Published: (2024)
by: Ehm, Werner
Published: (2024)
A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
by: Sanford, Chance
Published: (2024)
by: Sanford, Chance
Published: (2024)
On a function of Ramanujan twisted by a logarithm
by: Dixit, Atul, et al.
Published: (2025)
by: Dixit, Atul, et al.
Published: (2025)
An Apéry-like difference equation for Catalan's constant
by: Zudilin, Wadim
Published: (2002)
by: Zudilin, Wadim
Published: (2002)
An explicit Galois descent for multiple $t$-values of maximal height
by: Charlton, Steven, et al.
Published: (2026)
by: Charlton, Steven, et al.
Published: (2026)
Abel's problem, Gauss and Cartier congruences over number fields
by: Delaygue, Éric, et al.
Published: (2025)
by: Delaygue, Éric, et al.
Published: (2025)
A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
by: Yang, Zhejun
Published: (2025)
by: Yang, Zhejun
Published: (2025)
A few identities and integrals involving Pochhammer symbols, Jacobi polynomials, and the generalized hypergeometric function
by: Szabłowski, Paweł J.
Published: (2025)
by: Szabłowski, Paweł J.
Published: (2025)
Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$
by: Sun, Zhi-Wei, et al.
Published: (2024)
by: Sun, Zhi-Wei, et al.
Published: (2024)
The evaluation of a definite integral by the method of brackets illustrating its flexibility
by: Gonzalez, Ivan, et al.
Published: (2023)
by: Gonzalez, Ivan, et al.
Published: (2023)
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values
by: Campbell, John M., et al.
Published: (2024)
by: Campbell, John M., et al.
Published: (2024)
Pólya's conjecture for Euclidean balls
by: Filonov, Nikolay, et al.
Published: (2022)
by: Filonov, Nikolay, et al.
Published: (2022)
Expressing the difference of two Hurwitz zeta functions by a linear combination of the Gauss hypergeometric functions
by: Qi, Feng
Published: (2025)
by: Qi, Feng
Published: (2025)
Truncated Hypergeometric Functions and Discretized Integrals
by: Yamamoto, Shuji
Published: (2025)
by: Yamamoto, Shuji
Published: (2025)
Linear independence measures for Chowla--Selberg periods
by: Zudilin, Wadim
Published: (2025)
by: Zudilin, Wadim
Published: (2025)
Ninth degree analogue of Ramanujan's septic theta function identity
by: Kim, Sun, et al.
Published: (2025)
by: Kim, Sun, et al.
Published: (2025)
Hyperasymptotics for linear difference equations with an irregular singularity of rank one: Polynomial coefficients
by: Nemes, Gergő
Published: (2025)
by: Nemes, Gergő
Published: (2025)
Asymptotic evaluations of generalized Bessel function of order zero related to the p-circle lattice point problem
by: Kitajima, Masaya
Published: (2024)
by: Kitajima, Masaya
Published: (2024)
Sums of infinite series involving the Dirichlet lambda function
by: Hu, Su, et al.
Published: (2025)
by: Hu, Su, et al.
Published: (2025)
Uniqueness of $H$-harmonic Moebius invariant inner products on the ball
by: Blaschke, Petr, et al.
Published: (2024)
by: Blaschke, Petr, et al.
Published: (2024)
Asymptotics of the optimal values of potentials generated by greedy energy sequences on the unit circle
by: López-García, Abey, et al.
Published: (2023)
by: López-García, Abey, et al.
Published: (2023)
Higher-order asymptotics for the energy of greedy sequences on the unit circle
by: López-García, Abey, et al.
Published: (2026)
by: López-García, Abey, et al.
Published: (2026)
Similar Items
-
Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023) -
On single-variable Witten zeta functions of rank two and three
by: Au, Kam Cheong
Published: (2024) -
Linear relations between $L$-values of newforms and moments of elliptic $K$ integral
by: Au, Kam Cheong
Published: (2025) -
Multiple zeta values, WZ-pairs and infinite sums computations
by: Au, Kam Cheong
Published: (2022) -
$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
by: Au, Kam Cheong
Published: (2024)