Cover Image

A new trigonometric identity with applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sun, Zhi-Wei, Pan, Hao
Format:	Preprint
Published:	2019
Subjects:	Combinatorics Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Supercongruences for central trinomial coefficients
by: Pan, Hao, et al.
Published: (2020)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

A generalization of Franklin's partition identity and a Beck-type companion identity
by: Gray, Gabriel, et al.
Published: (2024)

Vinogradov three prime theorem with Piatetski-Shapiro primes
by: Sun, Yu-Chen, et al.
Published: (2019)

Tribonacci properties of identities, matrices, and determinants
by: Komatsu, Takao, et al.
Published: (2026)

Hodge-Newton indecomposability and a combinatorial identity
by: Lim, Dong Gyu
Published: (2023)

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

A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra
by: Barman, Rupam, et al.
Published: (2026)

The restricted sumsets in finite abelian groups
by: Du, Shanshan, et al.
Published: (2024)

Large sum-free subsets of sets of integers via $L^1$-estimates for trigonometric series
by: Bedert, Benjamin
Published: (2025)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

An identity relating $n$-nacci numbers, partitions, and products of binomial coefficients
by: Dragutinović, Dušan
Published: (2026)

Touchard's identity and a detailed determination of the radius of convergence of the Catalan series
by: Pain, Jean-Christophe
Published: (2026)

$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
by: Ghosh, Alapan, et al.
Published: (2026)

A new construction of permutation polynomials over $\mathbb{F}_{q^3}$
by: Ding, Zhiguo, et al.
Published: (2026)

An example of $A_2$ Rogers-Ramanujan bipartition identities of level 3
by: Tsuchioka, Shunsuke
Published: (2022)

Combinatorial identities from an inhomogeneous Ising chain
by: Jay, Jessica, et al.
Published: (2024)

On series identities involving $\binom{4k}k$ and harmonic numbers
by: Jiang, Bo, et al.
Published: (2026)

Control and its applications in additive combinatorics
by: Bloom, Thomas F.
Published: (2025)

Relations between Chebyshev, Fibonacci and Lucas polynomials via trigonometric sums
by: Smajlović, Lejla, et al.
Published: (2024)

Distribution of boundary points of expansion and application to the lonely runner conjecture
by: Agama, Theophilus
Published: (2019)

Spherical designs for finite quaternionic unit groups and their applications to modular forms
by: Hirao, Masatake, et al.
Published: (2025)

New bounds for Szemeredi's theorem, II: A new bound for $r_4(N)$
by: Green, Ben, et al.
Published: (2006)

Higher level $q$-multiple zeta values with applications to quasimodular forms and partitions
by: Craig, William
Published: (2024)

Various conjectural series identities
by: Sun, Zhi-Wei
Published: (2026)

On a formula of the $q$-series $_{2k+4}ϕ_{2k+3}$ and its applications
by: Andrews, George E., et al.
Published: (2025)

The set of minimal distances of the monoid of plus-minus weighted zero-sum sequences and applications to the characterization problem
by: Merito, Kamil, et al.
Published: (2025)

New proofs of the septic Rogers-Ramanujan identities
by: Rosengren, Hjalmar
Published: (2023)

The geometry of intersecting codes and applications to additive combinatorics and factorization theory
by: Borello, Martino, et al.
Published: (2024)

$q$-Supercongruences for multidimensional series modulo the sixth power of a cyclotomic polynomial
by: Wei, Chuanan
Published: (2024)

The Diophantine Frobenius Problem revisited
by: Ding, Yuchen, et al.
Published: (2025)

Two Proofs of a Conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series and a new Representation for $E_2(q)$
by: Cui, Su-Ping, et al.
Published: (2026)

Cyclotomic Matrices and Power Difference Sets
by: Sun, Wei-Liang
Published: (2025)

Amending the Lonely Runner Spectrum Conjecture
by: Fan, Ho Tin, et al.
Published: (2023)

Linear equations in Piatetski-Shapiro primes
by: Shao, Xuancheng, et al.
Published: (2026)

Bailey pairs and quantum $q$-series identites. I. The classical identities
by: Dousse, Jehanne, et al.
Published: (2025)

The new combinatorial identities of symmetric functions
by: Bouzeraib, Meryem, et al.
Published: (2025)

On new identities of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2025)

Some identities on degenerate trigonometric functions
by: Kim, Taekyun, et al.
Published: (2024)

Some ergodic theorems involving Omega function and their applications
by: Xiao, Rongzhong
Published: (2024)