A family of super congruences involving multiple harmonic sums

A family of super congruences involving multiple harmonic sums

In recent years, the congruence ∑i+j+k=pi,j,k>01ijk≡−2Bp−3(mod p), first discovered by the last author has been generalized by either increasing the number of indices and considering the corresponding super congruences, or by considering the alternating version of multiple harmonic sums. In t...

書目詳細資料
Main Authors:	McCoy, M, Thielen, K, Wang, L, Zhao, J
格式:	Journal article
語言:	English
出版:	World Scientific Publishing 2016

相似書籍

Congruences Involving Special Sums of Triple Reciprocals
由: Zhongyan Shen
出版: (2024-01-01)

Families of skew linear harmonic Euler sums involving some parameters
由: Anthony Sofo
出版: (2024-04-01)

Two congruences for Appell–Lerch sums
由: Chan, Song Heng, et al.
出版: (2013)

Two problems of binomial sums involving harmonic numbers
由: Nadia N. Li, et al.
出版: (2021-04-01)

Algorithmic and combinatoric aspects of multiple harmonic sums
由: Christian Costermans, et al.
出版: (2005-01-01)

Asymptotic expansion of a finite sum involving harmonic numbers
由: Ling Zhu
出版: (2021-01-01)

Small solutions of quadratic congruences, and character sums with binary quadratic forms
由: Heath-Brown, R
出版: (2016)

A remark for Gauss sums of order 3 and some applications for cubic congruence equations
由: Wenxu Ge, et al.
出版: (2022-03-01)

On a Sum Involving the Sum-of-Divisors Function
由: Feng Zhao, et al.
出版: (2021-01-01)

Congruences involving generalized Frobenius partitions
由: James Sellers
出版: (1993-01-01)

Congruences involving F-partition functions
由: James Sellers
出版: (1994-01-01)

A GPU implementation of the harmonic sum algorithm
由: Adámek, K, et al.
出版: (2019)

Some Results on Harmonic Type Sums
由: Doğa Can Sertbaş, et al.
出版: (2020-01-01)

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals
由: G.A. Yessenbayeva, et al.
出版: (2021-09-01)

Some congruences related to harmonic numbers and the terms of the second order sequences
由: Omur Nese, et al.
出版: (2016-01-01)

On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals
由: Gulsim A. Yessenbayeva, et al.
出版: (2021-09-01)

On a congruence involving $q$-Catalan numbers
由: Liu, Ji-Cai
出版: (2020-06-01)

Congruences involving generalized Catalan numbers and Bernoulli numbers
由: Jizhen Yang, et al.
出版: (2023-08-01)

Summing curious, slowly convergent, harmonic subseries
由: Schmelzer, T, et al.
出版: (2006)

Reflection Identities of Harmonic Sums of Weight Four
由: Alexander Prygarin
出版: (2019-03-01)

Analytic continuation of harmonic sums: Dispersion representation
由: V.N. Velizhanin
出版: (2022-11-01)

BFKL eigenvalue and maximal alternation of harmonic sums
由: Alex Prygarin
出版: (2019-10-01)

Some results on q-harmonic number sums
由: Xin Si
出版: (2018-01-01)

A novel greedy approach to harmonic summing using GPUs
由: Adámek, K, et al.
出版: (2022)

On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
由: Di Han, et al.
出版: (2013-01-01)

Sum of the generalized harmonic series with even natural exponent
由: Stefano Patrì
出版: (2013-01-01)

Congruence Extensions in Congruence–Modular Varieties
由: George Georgescu, et al.
出版: (2024-11-01)

Parameter robust preconditioning by congruence for multiple-network poroelasticity
由: Piersanti, E, et al.
出版: (2021)

On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
由: Xiaoling Xu
出版: (2021-01-01)

Retinal Vessel Segmentation: A Comparative Study of Fuzzy C-Means and Sum Entropy Information on Phase Congruency
由: Temitope Mapayi, et al.
出版: (2015-09-01)

SUPER-HARMONIC VIBRATIONS OF MODEL-SCALE RISER PIPES
由: McSherry, R, et al.
出版: (2008)

Multiple Receptor Subtypes for the CGRP Super-Family
由: R. Quirion, et al.
出版: (2001-01-01)

Spectral inequalities involving the sums and products of functions
由: Chong, K.-M.
出版: (1982)

A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
由: Jianghua Li, et al.
出版: (2014-01-01)

Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order
由: Takao Komatsu, et al.
出版: (2025-01-01)

Logarithmic mean and weighted sum of geometric and anti-harmonic means
由: Mira Cristiana Anisiu, et al.
出版: (2012-08-01)

Logarithmic mean and weighted sum of geometric and anti-harmonic means
由: Mira Cristiana Anisiu, et al.
出版: (2012-08-01)

Characterizations of matrix equalities involving the sums and products of multiple matrices and their generalized inverse
由: Yongge Tian
出版: (2023-08-01)

Some Identities Involving Certain Hardy Sums and General Kloosterman Sums
由: Huifang Zhang, et al.
出版: (2020-01-01)

A survey of radiative and physical properties of North Atlantic mesoscale cloud morphologies from multiple identification methodologies
由: R. Eastman, et al.
出版: (2024-06-01)