Results 21 to 30 of about 75 (72)

q‐Analogue of a binomial coefficient congruence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 197-200, 1995., 1995
We establish a q‐analogue of the congruence where p is a prime and a and b are positive integers.
W. Edwin Clark
wiley   +1 more source

Calibration of high voltages at the ppm level by the difference of $^{83\mathrm{m}}$Kr conversion electron lines at the KATRIN experiment [PDF]

open access: yes, 2018
International audienceThe neutrino mass experiment KATRIN requires a stability of 3 ppm for the retarding potential at − 18.6 kV of the main spectrometer.
Poon, A.   +424 more
core   +2 more sources

Congruences involving F‐partition functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 187-188, 1994., 1994
The primary goal of this note is to prove the congruence ϕ3(3n + 2) ≡ 0(mod3), where ϕ3(n) denotes the number of F‐partitions of n with at most 3 repetitions. Secondarily, we conjecture a new family of congruences involving cϕ2(n), the number of F‐partitions of n with 2 colors.
James Sellers
wiley   +1 more source

A new class of infinite products, and Euler′s totient

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 417-422, 1994., 1993
We introduce some new infinite products, the simplest being where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q ≠ 1. The idea of a q‐analogue for the Euler totient function is suggested.
Geoffrey B. Campbell
wiley   +1 more source

Use of a Cytobrush for Sampling the Ear Canal of Dogs With Otitis Externa

open access: yesVeterinary Dermatology, Volume 37, Issue 2, Page 227-235, April 2026.
Cytological examination of the ear canal is essential for evaluating dogs with otitis externa (OE). The conventional sampling method uses a swab. However, the cytobrush (gynaecological cervical brush), already used for cytological collection from other anatomical sites, has not been adequately investigated for this purpose in dogs with OE.
Nicoly Radaeli Atanasio   +3 more
wiley   +1 more source

© Hindawi Publishing Corp. A COMBINATORIAL PROOF OF A PARTITION IDENTITY OF ANDREWS AND STANLEY [PDF]

open access: yes, 2004
In his paper, “On a partition function of Richard Stanley, ” George Andrews proves a certain partition identity analytically and asks for a combinatorial proof. This paper provides the requested combinatorial proof.
Andrew V. Sills
core  

A note on λ-analogue of Lah numbers and λ-analogue of r-Lah numbers

open access: yesDemonstratio Mathematica
In this study, we introduce the λ\lambda -analogue of Lah numbers and λ\lambda -analogue of rr-Lah numbers in the view of degenerate version, respectively.
Kim Taekyun, Kim Hye Kyung
doaj   +1 more source

On the proportion of derangements in affine classical groups

open access: yesForum of Mathematics, Sigma
We derive exact formulas for the proportions of derangements and of derangements of p-power order in the affine classical groups $\operatorname {\mathrm {AU}}_m(q)$ , $\operatorname {\mathrm {ASp}}_{2m}(q)$ , $\operatorname {\mathrm {AO ...
Jessica Anzanello
doaj   +1 more source

The Number of Parts of Given Multiplicity in a Random Integer Partition [PDF]

open access: yes, 2007
2000 Mathematics Subject Classification: 05A16, 05A17.Let Xm,n denote the number of parts of multiplicity m in a random partition of the positive integer n.
Kamenov, Emil
core  

Measures and generalizations of dual Littlewood identities

open access: yesForum of Mathematics, Sigma
We introduce three families of vectors |λ―so⟩ $|\underline {\lambda }^{so}\rangle $ vertical bar lamda underbar Superscript s o Baseline right angle bracket , |λ―sp⟩ $|\underline {\lambda }^{sp}\rangle $ vertical bar lamda underbar Superscript s
Zhongren Cai   +4 more
doaj   +1 more source

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