Imagen de Portada

Integrals involving arbitrary powers of the arcsine, with applications to infinite series

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Dilcher, Karl, Vignat, Christophe
Formato:	Preprint
Publicado:	2025
Materias:	Number Theory Functional Analysis
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Powers of the arcsine and infinite classes of series involving central binomial coefficients
por: Dilcher, Karl, et al.
Publicado: (2025)

Further Classes of Series Involving Central Binomial Coefficients
por: Dilcher, Karl, et al.
Publicado: (2025)

On the abscissas of a Dirichlet series and its subseries supported on prime factorization
por: Sahu, Chaman Kumar
Publicado: (2025)

Fourier transform of BV functions and applications
por: Beretti, Thomas, et al.
Publicado: (2024)

A note on Bohr's theorem for Beurling integer systems
por: Broucke, Frederik, et al.
Publicado: (2023)

Une caractérisation de $\mathbb{B}_{\mathrm{dR}}^+$ et $\mathcal{O}\mathbb{B}_{\mathrm{dR}}^+$
por: Colmez, Pierre
Publicado: (2025)

Cohomology of Jacobi forms
por: Zuevsky, A.
Publicado: (2021)

Zero-free half-planes of the ζ-function via spaces of analytic functions
por: Ghosh, Aditya, et al.
Publicado: (2022)

Diffraction of the primes and other sets of zero density
por: Humeniuk, Adam, et al.
Publicado: (2024)

The standard $L$-function attached to a vector valued modular form
por: Stein, Oliver
Publicado: (2024)

Pluckerians twisted with linear forms and Druzkowski maps
por: Chen, Li
Publicado: (2024)

The single equality $A^{*n}A^n = (A^*A)^n$ does not imply the quasinormality of weighted shifts on rootless directed trees
por: Pietrzycki, Paweł
Publicado: (2015)

Cohomology of Fuchsian groups and Fourier interpolation
por: Gerbelli-Gauthier, Mathilde, et al.
Publicado: (2024)

Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
por: Mihara, Tomoki
Publicado: (2026)

Partial sums of random multiplicative functions with supercritical divisor twists
por: Hamdan, Jad
Publicado: (2026)

Sums of infinite series involving the Dirichlet lambda function
por: Hu, Su, et al.
Publicado: (2025)

Errata Corrige to Theorems A and B for Dagger Quasi-Stein Spaces
por: Bambozzi, Federico, et al.
Publicado: (2025)

Topological Vector Spaces
por: Colmez, Pierre, et al.
Publicado: (2025)

Duality of analytic Hopf algebras and the Amice transform
por: Collauto, Luca
Publicado: (2026)

Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groups
por: Aniello, Paolo, et al.
Publicado: (2023)

The tempered disk and the tempered cohomology
por: Bambozzi, Federico, et al.
Publicado: (2024)

On the Sheafyness Property of Spectra of Banach Rings
por: Bambozzi, Federico, et al.
Publicado: (2020)

Closing the gap around the essential minimum of height functions with linear programming
por: Gil, José Burgos, et al.
Publicado: (2026)

SIC-POVMs from Stark Units: Dimensions n^2+3=4p, p prime
por: Bengtsson, Ingemar, et al.
Publicado: (2024)

Characterising the Haar measure on the $p$-adic rotation groups via inverse limits of measure spaces
por: Aniello, Paolo, et al.
Publicado: (2024)

A trigonometric approach to an identity by Ramanujan
por: Vignat, C.
Publicado: (2026)

On the limiting distribution of sums of random multiplicative functions
por: Gorodetsky, Ofir, et al.
Publicado: (2025)

Sums of the floor function related to class numbers of imaginary quadratic fields
por: Chamberland, Marc, et al.
Publicado: (2025)

Numeral systems with non-zero redundancy and their applications in the theory of locally complex functions
por: Vaskevych, S. O., et al.
Publicado: (2026)

Factoring determinants and applications to number theory
por: Basor, Estelle, et al.
Publicado: (2023)

Colored base-3 partitions, sequences of polynomials, and perfect numbers
por: Dilcher, Karl, et al.
Publicado: (2025)

A class of Tribin functions related to $s$-symbol encodings of numbers with a zero redundancy
por: Pratsiovytyi, Mykola, et al.
Publicado: (2026)

Helson's conjecture for smooth numbers
por: Hardy, Seth, et al.
Publicado: (2025)

Effective pair correlations of fractional powers of integers
por: Sayous, Rafael
Publicado: (2023)

Non-Archimedean Kelvin Transformation
por: Antoniouk, Alexandra V., et al.
Publicado: (2025)

Non-Archimedean Tarski-Maligranda Inequalities
por: Krishna, K. Mahesh
Publicado: (2026)

Spectral theory of infinite dimensional dissipative Hamiltonian systems
por: Mehl, Christian, et al.
Publicado: (2024)

The Composite Gamma Function: Analytical Framework, Critical Trench, and Prime Distribution Linkage
por: Medford, Zach
Publicado: (2025)

The joy of multisection: elementary approaches to Ramanujan's lacunary identities for Bernoulli numbers
por: Chavan, Parth, et al.
Publicado: (2025)

A quick distributional way to reproduce some results of the Riemann zeta function
por: Deng, Junfa, et al.
Publicado: (2026)