Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Ade Irma Suriajaya"'
Publikováno v:
Indagationes Mathematicae. 33:1236-1262
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45768a8c2b6a0282fc5f3c520af19b6e
https://doi.org/10.1016/j.indag.2022.08.002
https://doi.org/10.1016/j.indag.2022.08.002
Autor:
Ade Irma Suriajaya (Chacha)
Publikováno v:
数理解析研究所講究録. 2222:113-127
280年前にゴールドバッハは4より大きい偶数が必ず二つの奇素数の和として書き表せると予想した。その予想が成り立てば、9以上の奇数が三つの奇素数の和として書き表せることが従う
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::7635564af0ac00b8fc3c5159a2705173
http://hdl.handle.net/2433/277184
http://hdl.handle.net/2433/277184
Publikováno v:
Acta Arithmetica. 204:97-113
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbc9edf15ca8a61ce9e459c4e7a923b1
https://doi.org/10.4064/aa210111-13-4
https://doi.org/10.4064/aa210111-13-4
Autor:
Ade Irma Suriajaya, Daniel A. Goldston
Publikováno v:
Journal of Number Theory. 227:144-157
We show that the error term in the asymptotic formula for the Ces{\`a}ro mean of the singular series in the Goldbach and the Hardy-Littlewood prime-pair conjectures cannot be too small and oscillates.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a308f7f879e1c14ef64a3f078c76af84
https://doi.org/10.1016/j.jnt.2021.03.004
https://doi.org/10.1016/j.jnt.2021.03.004
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 314:248-274
Класс рядов Дирихле, соответствующих периодическим арифметическим функциям $f$, включает в себя дзета-функцию Римана и $L$-функции характ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21a2d2811275d350ec91ff2ccace869a
https://doi.org/10.4213/tm4188
https://doi.org/10.4213/tm4188
Autor:
D. A. Goldston, Ade Irma Suriajaya
Publikováno v:
Research in Number Theory. 8
We prove that the error in the prime number theorem can be quantitatively improved beyond the Riemann Hypothesis bound by using versions of Montgomery's conjecture for the pair correlation of zeros of the Riemann zeta-function which are uniform in lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02d37964bc1edfd7a1f624b7d89796ac
https://doi.org/10.1007/s40993-022-00371-4
https://doi.org/10.1007/s40993-022-00371-4
Autor:
Shingo Sugiyama, Ade Irma Suriajaya
Publikováno v:
Research in Number Theory. 8
In this paper, we compute the one-level density of low-lying zeros of Dirichlet $L$-functions in a family weighted by special values of Dirichlet $L$-functions at a fixed $s \in [1/2, 1)$. We verify both Fazzari's conjecture and the first author's co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b90630d363ba7e4dc0e166141d13acb9
https://doi.org/10.1007/s40993-022-00359-0
https://doi.org/10.1007/s40993-022-00359-0
Publikováno v:
The Ramanujan Journal
Let f be an arithmetic function and let $${\mathcal {S}}^\#$$ S # denote the extended Selberg class. We denote by $${\mathcal {L}}(s) = \sum _{n = 1}^{\infty }\frac{f(n)}{n^s}$$ L ( s ) = ∑ n = 1 ∞ f ( n ) n s the Dirichlet series attached to f.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0082838a3857abb03fa1c97fba075cda
http://europepmc.org/articles/PMC8549975
http://europepmc.org/articles/PMC8549975
Autor:
Ade Irma Suriajaya
Publikováno v:
数理解析研究所講究録. 2162:42-53
A. Speiser (1935年)はリーマンゼータ関数S(s)の一階導関数S'(s)がRe(s)< 1/2で実数でない零点を持たないことがリーマン予想と同値であることを示した. この結果はS(s)の零点分布とその導閲数の
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::1f82467f932df10c5e335ec6e868e152
http://hdl.handle.net/2433/261414
http://hdl.handle.net/2433/261414
Autor:
Fan Ge, Ade Irma Suriajaya
Publikováno v:
The Ramanujan Journal. 55:661-672
Assuming the Riemann hypothesis, we prove that $$ N_k(T) = \frac{T}{2\pi}\log \frac{T}{4\pi e} + O_k\left(\frac{\log{T}}{\log\log{T}}\right), $$ where $N_k(T)$ is the number of zeros of $\zeta^{(k)}(s)$ in the region $0
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca268f23883c8de8ed676ae4dece56ae
https://doi.org/10.1007/s11139-019-00219-z
https://doi.org/10.1007/s11139-019-00219-z