Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Teerapat Srichan"'
Autor:
Teerapat Srichan
Publikováno v:
Discrete Mathematics Letters, Vol 10, Pp 107-111 (2022)
Externí odkaz:
https://doaj.org/article/844f757cc3be426084ea3276c8899f0b
Autor:
Teerapat Srichan
Publikováno v:
Mathematics, Vol 11, Iss 11, p 2507 (2023)
Using the exponent pair method, a bound is derived for the sum ∑manb≤xχ1a(m)χ2b(n), where a,b are fixed positive integers, χ1,χ2 are primitive Dirichlet characters modulo q1 and q2, respectively, and χ1a,χ2b are not principal characters. As
Externí odkaz:
https://doaj.org/article/1fa7b41b35964949b55980c94ca29db2
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:
Czechoslovak Mathematical Journal. 73:197-212
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3c0388678920fdec64dae035272a215
https://doi.org/10.21136/cmj.2022.0044-22
https://doi.org/10.21136/cmj.2022.0044-22
Autor:
Teerapat Srichan
Publikováno v:
Mathematica Slovaca. 72:1145-1150
Let f k ( n ) := ∑ d k ∣ n Φ ( d ) , $$ f_k(n):=\sum\limits_{d^k \mid n} \Phi(d), $$ where Φ(d) is a multiplicative function, Φ(d) = O(dε ). We study asymptotic behaviour of the sum T f k c ( N ) := ∑ n ≤ N f k n c , 1 < c < 2 , $$ T_{f_k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f1af39a96793bebc5d9b92bf40a0859
https://doi.org/10.1515/ms-2022-0078
https://doi.org/10.1515/ms-2022-0078
Publikováno v:
The Journal of Analysis. 31:733-745
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72a46aaae87548c4316dc295b2e3c10b
https://doi.org/10.1007/s41478-022-00471-5
https://doi.org/10.1007/s41478-022-00471-5
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 29
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::438ec1c44a97cea11a21775bc69a04c7
https://doi.org/10.1007/s40590-022-00482-z
https://doi.org/10.1007/s40590-022-00482-z
Publikováno v:
Czechoslovak Mathematical Journal. 72:149-163
Let a and $$b \in \mathbb{N}$$ . Denote by Ra,b the set of all integers n > 1 whose canonical prime representation $$n = p_1^{{\alpha _1}}p_2^{{\alpha _2}} \ldots p_r^{{\alpha _r}}$$ has all exponents αi (1 ⩽ i ⩽ r) being a multiple of a or belo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a91a3ec3a8ce88bf1f39f563411d57d
https://doi.org/10.21136/cmj.2021.0362-20
https://doi.org/10.21136/cmj.2021.0362-20
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:
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