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...

書誌詳細
主要な著者:	McCoy, M, Thielen, K, Wang, L, Zhao, J
フォーマット:	Journal article
言語:	English
出版事項:	World Scientific Publishing 2016

類似資料

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

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

Two congruences for Appell–Lerch sums
著者:: Chan, Song Heng, 等
出版事項: (2013)

Two problems of binomial sums involving harmonic numbers
著者:: Nadia N. Li, 等
出版事項: (2021-04-01)

Algorithmic and combinatoric aspects of multiple harmonic sums
著者:: Christian Costermans, 等
出版事項: (2005-01-01)

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

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

A remark for Gauss sums of order 3 and some applications for cubic congruence equations
著者:: Wenxu Ge, 等
出版事項: (2022-03-01)

On a Sum Involving the Sum-of-Divisors Function
著者:: Feng Zhao, 等
出版事項: (2021-01-01)

Congruences involving generalized Frobenius partitions
著者:: James Sellers
出版事項: (1993-01-01)

Congruences involving F-partition functions
著者:: James Sellers
出版事項: (1994-01-01)

A GPU implementation of the harmonic sum algorithm
著者:: Adámek, K, 等
出版事項: (2019)

Some Results on Harmonic Type Sums
著者:: Doğa Can Sertbaş, 等
出版事項: (2020-01-01)

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

Some congruences related to harmonic numbers and the terms of the second order sequences
著者:: Omur Nese, 等
出版事項: (2016-01-01)

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

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

Congruences involving generalized Catalan numbers and Bernoulli numbers
著者:: Jizhen Yang, 等
出版事項: (2023-08-01)

Summing curious, slowly convergent, harmonic subseries
著者:: Schmelzer, T, 等
出版事項: (2006)

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

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

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

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

A novel greedy approach to harmonic summing using GPUs
著者:: Adámek, K, 等
出版事項: (2022)

On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
著者:: Di Han, 等
出版事項: (2013-01-01)

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

Congruence Extensions in Congruence–Modular Varieties
著者:: George Georgescu, 等
出版事項: (2024-11-01)

Parameter robust preconditioning by congruence for multiple-network poroelasticity
著者:: Piersanti, E, 等
出版事項: (2021)

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

Retinal Vessel Segmentation: A Comparative Study of Fuzzy C-Means and Sum Entropy Information on Phase Congruency
著者:: Temitope Mapayi, 等
出版事項: (2015-09-01)

SUPER-HARMONIC VIBRATIONS OF MODEL-SCALE RISER PIPES
著者:: McSherry, R, 等
出版事項: (2008)

Multiple Receptor Subtypes for the CGRP Super-Family
著者:: R. Quirion, 等
出版事項: (2001-01-01)

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

A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
著者:: Jianghua Li, 等
出版事項: (2014-01-01)

Polynomial Identities for Binomial Sums of Harmonic Numbers of Higher Order
著者:: Takao Komatsu, 等
出版事項: (2025-01-01)

Logarithmic mean and weighted sum of geometric and anti-harmonic means
著者:: Mira Cristiana Anisiu, 等
出版事項: (2012-08-01)

Logarithmic mean and weighted sum of geometric and anti-harmonic means
著者:: Mira Cristiana Anisiu, 等
出版事項: (2012-08-01)

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

Some Identities Involving Certain Hardy Sums and General Kloosterman Sums
著者:: Huifang Zhang, 等
出版事項: (2020-01-01)

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