Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Vichian Laohakosol"'
Publikováno v:
Turkish Journal of Mathematics. 47:1073-1086
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8c0ee4d815780fd11645dc0dedefe7f
https://doi.org/10.55730/1300-0098.3413
https://doi.org/10.55730/1300-0098.3413
Publikováno v:
Bulletin of the Australian Mathematical Society. :1-7
For a positive integer$r\geq 2$, a natural numbernisr-free if there is no primepsuch that$p^r\mid n$. Asymptotic formulae for the distribution ofr-free integers in the floor function set$S(x):=\{\lfloor x/ n \rfloor :1\leq n\leq x\}$are derived. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec1a6a98a053adfb55b9c427438b51e3
https://doi.org/10.1017/s0004972722001241
https://doi.org/10.1017/s0004972722001241
Publikováno v:
The Journal of Analysis. 31:733-745
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72a46aaae87548c4316dc295b2e3c10b
https://doi.org/10.1007/s41478-022-00471-5
https://doi.org/10.1007/s41478-022-00471-5
Publikováno v:
Aequationes mathematicae. 96:339-347
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5920dde8225460c2ef9f718e4cc6b0e2
https://doi.org/10.1007/s00010-021-00860-4
https://doi.org/10.1007/s00010-021-00860-4
Publikováno v:
Turkish Journal of Mathematics. 46:1565-1579
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13266dcb56ee54863279697d3d74e5d5
https://doi.org/10.55730/1300-0098.3180
https://doi.org/10.55730/1300-0098.3180
Publikováno v:
Turkish Journal of Mathematics. 2021, Vol. 45 Issue 3, p1459-1478. 20p.
Publikováno v:
Bulletin of the Australian Mathematical Society. 105:217-222
Using a method due to Rieger [‘Remark on a paper of Stux concerning squarefree numbers in non-linear sequences’, Pacific J. Math.78(1) (1978), 241–242], we prove that the Piatetski-Shapiro sequence defined by $\{\lfloor n^c \rfloor : n\in \math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26d2c57f0c516540cffcab7be0354950
https://doi.org/10.1017/s0004972721000666
https://doi.org/10.1017/s0004972721000666
Publikováno v:
Notes on Number Theory and Discrete Mathematics. 27:1-11
For a fixed positive integer \kappa, the functional equation \kappa f(m^2 + n^2) = f(\kappa m^2) + \kappa f(n^2), (m,n\in\mathbb{N}) is solved for multiplicative functions f. This complements a 1996 result of Chung [2] which deals with the case \kapp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aaacae7655b8e0f9e3f6bad9e6012a68
https://doi.org/10.7546/nntdm.2021.27.3.1-11
https://doi.org/10.7546/nntdm.2021.27.3.1-11
Publikováno v:
Proceedings - Mathematical Sciences. 132
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a2f1b5d9c11c819b1f9adc4c940361b
https://doi.org/10.1007/s12044-022-00690-7
https://doi.org/10.1007/s12044-022-00690-7
Publikováno v:
Mathematica Slovaca. 71:615-626
A new concept of independence of real numbers, called degree independence, which contains those of linear and algebraic independences, is introduced. A sufficient criterion for such independence is established based on a 1988 result of Bundschuh, whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d184c80b34d15d6ba16b0a33b0654894
https://doi.org/10.1515/ms-2021-0007
https://doi.org/10.1515/ms-2021-0007