Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Science::Mathematics::Number theory [DRNTU]"'
Let Δ be the line graph of PG(n –1,2), Alt(n,2) be the graph of the n-dimensional alternating forms over GF(2), n ≥ 4. Let Γ be a connected locally Δ graph such that 1. the number of common neighbours of any pair of vertices at distance two is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ca024934972c1a63c74e0cf6c340550
https://ora.ox.ac.uk/objects/uuid:41717140-06f0-4295-bde0-f9350b837626
https://ora.ox.ac.uk/objects/uuid:41717140-06f0-4295-bde0-f9350b837626
Autor:
Stephan Baier, Liangyi Zhao
Publikováno v:
Acta Arithmetica. 125:187-201
In this paper, we establish theorems of Bombieri-Vinogradov type and Barban-Davenport-Halberstam type for sparse sets of moduli. As an application, we prove that there exist infinitely many primes of the form $p=am^2+1$ such that $a\leq p^{5/9+\epsil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f53938291a516a81e7192ead74912978
https://doi.org/10.4064/aa125-2-5
https://doi.org/10.4064/aa125-2-5
Autor:
Liangyi Zhao
Publikováno v:
Acta Arithmetica. 112:297-308
In this paper, we developed a a large sieve type inequality with characters to square moduli. One expects that the result should be weaker than the classical inequality, but, conjecturally at least, not by much. The method is generalizable to higher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::657da3084134d7e1e2da9fc7a18f74b2
https://doi.org/10.4064/aa112-3-5
https://doi.org/10.4064/aa112-3-5
Autor:
Tan, Ming Ming
This dissertation is devoted to the study of relative difference sets and circulant weighing matrices using algebraic tools. We are mainly interested in answering the existence problems for these objects: For what values of $v$ and $n$, does a circul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1392::0f5442a008d079b90374f032fac2cb17
http://hdl.handle.net/10356/62325
http://hdl.handle.net/10356/62325
Autor:
Ma, Liming
In this thesis, we first give a characterization of fixed fields under subgroups of the decomposition group $\mathcal{A}(P_\infty)$ of the Deligne--Lusztig function fields. More specifically, we give a characterization of subgroups in the decompositi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1392::63aa351d72ecdd892daac48acd40775e
http://hdl.handle.net/10356/55282
http://hdl.handle.net/10356/55282
Autor:
Shao Ying Huang, Bae-Ian Wu, Baile Zhang, Yee Hui Lee, Mordechai Rothschild, Vladimir Liberman
In studies of surface-enhanced Raman scattering (SERS), individual metal nanoparticle and particle assemblies introduce enhancement of electromagnetic fields. However, the contributions to enhancement due to the substrate supporting the particles are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae329dd6af5ff50fc58ba96e5b6a0cdf
http://hdl.handle.net/10220/8804
http://hdl.handle.net/10220/8804
Autor:
Liangyi Zhao, Stephan Baier
Let $\lambda(n)$ be the normalized n-th Fourier coefficient of a holomorphic cusp form for the full modular group. We show that for some constant $C > 0$ depending on the cusp form and every fixed $c$ in the range $1 < c < 8/7$, the mean value of $\l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5c43225baa73ca5315e8fb2cd97ed54
http://arxiv.org/abs/0808.1756
http://arxiv.org/abs/0808.1756
Autor:
Stephan Baier, Liangyi Zhao
In this paper, we obtain an unconditional density theorem concerning the low-lying zeros of Hasse-Weil L-functions for a family of elliptic curves. From this together with the Riemann hypothesis for these L-functions, we infer the majorant of 27/14 (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::603da52fe694bfda7b853da411b824f8
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rft.object_id=954922644001&sfx.request_id=186124&sfx.ctx_obj_item=1
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rft.object_id=954922644001&sfx.request_id=186124&sfx.ctx_obj_item=1
Autor:
Liangyi Zhao
In this paper, we develop a large sieve type inequality with quadratic amplitude. We use the double large sieve to establish non-trivial bounds. Accepted version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::967b0bd96e543c6828999ec1339b64b5
http://hdl.handle.net/10220/4559
http://hdl.handle.net/10220/4559
Autor:
Stephan Baier, Liangyi Zhao
We verify the Hardy-Littlewood conjecture on primes in quadratic progressions on average. The results in the present paper significantly improve those of a previous paper of the authors(arXiv:math.NT/0605563).
Comment: Fourteen(14) pages, minor
Comment: Fourteen(14) pages, minor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c673b5419c883bbfef2e9b4ce0fec19