ARTICLE
|
doi:10.20944/preprints202312.2327.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sums of consecutive squared integers equal to square integers; Quadratic diophantine equation; Generalized Pell equation; Fundamental solutions; Chebyshev polynomials
Online: 29 December 2023 (15:30:23 CET)
ARTICLE
|
doi:10.20944/preprints201802.0119.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums
Online: 19 February 2018 (14:18:47 CET)
ARTICLE
|
doi:10.20944/preprints202307.0401.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Theta function; Weierstrass Sigma function; Weierstrass Elliptic function; Square sums 5 theorem
Online: 6 July 2023 (08:50:25 CEST)
ARTICLE
|
doi:10.20944/preprints202407.1276.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; prime counting function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; weighted sums; logarithmic weighted sums
Online: 20 August 2024 (08:42:50 CEST)
ARTICLE
|
doi:10.20944/preprints201906.0224.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
harmonic; univalent; convex; partial sums
Online: 22 June 2019 (12:35:50 CEST)
ARTICLE
|
doi:10.20944/preprints201711.0092.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Jacobian q-series; closed form lattice sums
Online: 15 November 2017 (04:17:09 CET)
ARTICLE
|
doi:10.20944/preprints202404.1843.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
heavy tail; light tail; randomly stopped sums; randomly stopped minima; randomly stopped maxima
Online: 28 April 2024 (08:28:24 CEST)
ARTICLE
|
doi:10.20944/preprints202110.0204.v2
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
Discrete; Double Hilbert transform; Circle method; exponential sums; discrete double Hilbert transform; discrete double exponential sums; Newton diagram
Online: 17 November 2021 (11:06:10 CET)
ARTICLE
|
doi:10.20944/preprints201806.0079.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Chebyshev polynomials; sums of finite products; hypergeometric function
Online: 6 June 2018 (09:44:52 CEST)
ARTICLE
|
doi:10.20944/preprints202402.1143.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(finite) Euler sums; symmetric Euler sums; (finite) multiple T-values; symmetric multiple T-values; alternating multiple T-values
Online: 20 February 2024 (14:34:09 CET)
ARTICLE
|
doi:10.20944/preprints201809.0258.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Chebyshev polynomials of second kind; Fibonacci polynomials; sums of finite products; orthogonal polynomials
Online: 14 September 2018 (10:17:50 CEST)
ARTICLE
|
doi:10.20944/preprints202312.1810.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
epidemological model; nonlinear coupled differential equation; infinite sums; analytical solution; Covid-19; SIRV model; virus
Online: 25 December 2023 (10:31:41 CET)
ARTICLE
|
doi:10.20944/preprints202104.0297.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
generalized hyperharmonic numbers, classical Euler sums, binomial coefficients, combinatorial approach, partial fraction approach
Online: 12 April 2021 (12:43:36 CEST)
ARTICLE
|
doi:10.20944/preprints201811.0540.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
sums of finite products; Chebyshev polynomials of the first kind; Lucas polynomials; Chebyshev polynomials of all kinds
Online: 22 November 2018 (06:43:38 CET)
ARTICLE
|
doi:10.20944/preprints202005.0471.v2
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
DNA oligomers; harmonic progression; hyperbolic rules; matrices; tensor product; quantum informatics; oligomer sums method; genomes; genes; viruses; proteins; long Russian texts; phonetic sequences
Online: 21 June 2020 (15:26:04 CEST)
ARTICLE
|
doi:10.20944/preprints202112.0423.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sums over primes; generalized alternating hyperharmonic numbers; asymptotic formula; numbers with $k$-prime factors
Online: 27 December 2021 (11:10:43 CET)
ARTICLE
|
doi:10.20944/preprints201712.0056.v1
Subject:
Medicine And Pharmacology,
Other
Keywords:
nonparametric change point detection; singular spectrum analysis; cumulative sums; ecg; ppg; arrhythmias; cardiac monitoring
Online: 11 December 2017 (06:54:53 CET)
ARTICLE
|
doi:10.20944/preprints201810.0140.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
sums of finite products of chebyshev polynomials of the third and fourth kinds; Hermite; generalized Laguerre; Legendre; Gegenbauer; Jacobi
Online: 8 October 2018 (11:20:20 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0446.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Faulhaber's formula; Faulhaber's theorem; binomial theorem; binomial coefficient; binomial distribution; binomial identities; power sums; finite differences
Online: 22 October 2018 (11:02:08 CEST)
ARTICLE
|
doi:10.20944/preprints202305.0311.v3
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
Formal Calculation; nested sums; Gaussian coefficient; Stirling number; associated Stirling numbers; Eulerian number and polynomial; Wolstenholme theorem
Online: 7 October 2023 (03:26:10 CEST)