Congruences for sums of binomial coefficients

Zhi‐Wei Sun, Roberto Tauraso

Type: Article

Publication Date: 2007-02-07

Citations: 12

DOI: https://doi.org/10.1016/j.jnt.2007.01.002

View Publication

Download PDF

Locations

Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Congruences for sums of binomial coefficients	2005	Zhi‐Wei Sun Roberto Tauraso
+	Congruences of Power Sums	2018	Nicholas J. Newsome Maria Nogin Adnan H. Sabuwala
+	Minimum Periods of Binomial Coefficients Modulo M	1989	Y. H. Harris Kwong
+ PDF Chat	A note on the congruences with sums of powers of binomial coefficients	2017	Tianxin Cai Zhongyan Shen
+ PDF Chat	Congruences for sums of powers of an integer	2023	Leif Jacob Burkhard Külshammer
+	Congruences involving binomial coefficients and Apery-like numbers	2020	Zhi-Hong Sun
+	Congruences for certain sums of products of binomial coefficients	2020	René Gy
+	Sums of Powers of Numbers Having a Given Period Modulo m	1955	John E. Maxfield Margaret W. Maxfield
+ PDF Chat	Combinatorial congruences and Stirling numbers	2007	Zhi‐Wei Sun
+	Combinatorial congruences and Stirling numbers	2005	Zhi‐Wei Sun
+	Congruences for sums of powers of an integer	2022	Leif Jacob Burkhard Külshammer
+ PDF Chat	Congruences for q-Binomial Coefficients	2019	Wadim Zudilin
+	Super congruences concerning binomial coefficients and Apéry-like numbers	2020	Zhi-Hong Sun
+	Congruences for certain lacunary sums of products of binomial coefficients	2020	René Gy
+	Congruence classes for modular forms over small sets	2023	Subham Bhakta S. Krishnamoorthy R. Muneeswaran
+	Proof of a congruence on sums of powers of $q$-binomial coefficients	2015	Victor J. W. Guo Ji-Cai Liu
+	Congruences with q-harmonic numbers and q-binomial coefficients	2023	Laid Elkhiri Sibel Koparal Neşe Ömür
+	Some congruences for generalized harmonic numbers and binomial coefficients with roots of unity	2021	Walid Kehila
+ PDF Chat	Note on a Congruence Involving Products of Binomial Coefficients	2007	Wei Xu Haozhi Pan
+	Some $q$-congruences involving central $q$-binomial coefficients	2021	He-Xia Ni

Works That Cite This (12)

Action	Title	Year	Authors
+ PDF Chat	Combinatorial congruences and Stirling numbers	2007	Zhi‐Wei Sun
+ PDF Chat	Automata and the susceptibility of the square lattice Ising model modulo powers of primes	2015	A J Guttmann J.-M. Maillard
+	Hamming weights of symmetric Boolean functions	2016	Thomas W. Cusick
+ PDF Chat	Partial sums of binomials, intersecting numbers, and the excess bound in Rosenbloom–Tsfasman space	2019	André Guerino Castoldi Emerson L. Monte Carmelo Robson da Silva
+	Some Elementary Congruences for the Number of Weighted Integer Compositions	2015	Steffen Eger
+ PDF Chat	Binomial Coefficients, Roots of Unity and Powers of Prime Numbers	2022	Piotr Miska
+	Congruences for certain lacunary sums of products of binomial coefficients	2020	René Gy
+	On sums of binomial coefficients and their applications	2007	Zhi‐Wei Sun
+	Binomial Transform and Dold Sequences	2015	Klaudiusz Wójcik Krakow Poland
+	On the $$p$$-Adic Properties of $$2$$-Sected Sums Involving Binomial Coefficients	2023	Tamás Lengyel

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Values of Bernoulli polynomials	1996	Andrew Granville Zhi‐Wei Sun
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen
+ PDF Chat	A congruence for primes	1995	Zhi Wei Sun
+	History of the Theory of Numbers	1919	L. E. Dickson
+ PDF Chat	It is easy to determine whether a given integer is prime	2004	Andrew Granville
+	On the sum Σ k≡r(modm) ( k n ) and related congruencesand related congruences	2002	Zhi‐Wei Sun
+ PDF Chat	A special congruence	1953	L. Carlitz
+	Congruences for Bernoulli numbers and Bernoulli polynomials	1997	Zhi-Hong Sun
+	General congruences for Bernoulli polynomials	2003	Zhi‐Wei Sun
+ PDF Chat	PRIMES is in P	2004	Manindra Agrawal Neeraj Kayal Nitin Saxena