Recovering short generators of principal ideals in cyclotomic rings
A handful of recent cryptographic proposals rely on the conjectured hardness of the
following problem in the ring of integers of a cyclotomic number field: given a basis of a …
following problem in the ring of integers of a cyclotomic number field: given a basis of a …
Fourier optimization and prime gaps
E Carneiro, MB Milinovich… - Commentarii Mathematici …, 2019 - ems.press
Fourier optimization and prime gaps Page 1 Comment. Math. Helv. 94 (2019), 533–568 DOI
10.4171/CMH/467 Commentarii Mathematici Helvetici © Swiss Mathematical Society Fourier …
10.4171/CMH/467 Commentarii Mathematici Helvetici © Swiss Mathematical Society Fourier …
Conditional estimates for the logarithmic derivative of Dirichlet L-functions
Abstract Assuming the Generalized Riemann Hypothesis, we establish explicit bounds in the
q-aspect for the logarithmic derivative L′/L σ, χ of Dirichlet L-functions, where χ is a …
q-aspect for the logarithmic derivative L′/L σ, χ of Dirichlet L-functions, where χ is a …
[图书][B] An illustrated theory of numbers
MH Weissman - 2020 - books.google.com
News about this title:—Author Marty Weissman has been awarded a Guggenheim
Fellowship for 2020.(Learn more here.)—Selected as a 2018 CHOICE Outstanding …
Fellowship for 2020.(Learn more here.)—Selected as a 2018 CHOICE Outstanding …
The distribution of values of zeta and L-functions
K Soundararajan - Proc. Int. Cong. Math, 2022 - content.ems.press
The distribution of values of zeta and L-functions Page 701 The distribution of values of zeta
and L-functions Kannan Soundararajan Abstract We survey recent progress on understanding …
and L-functions Kannan Soundararajan Abstract We survey recent progress on understanding …
An explicit bound for the least prime ideal in the Chebotarev density theorem
We prove an explicit version of Weiss' bound on the least norm of a prime ideal in the
Chebotarev density theorem, which is a significant improvement on the work of Lagarias …
Chebotarev density theorem, which is a significant improvement on the work of Lagarias …
CM elliptic curves: volcanoes, reality and applications
PL Clark - arXiv preprint arXiv:2212.13316, 2022 - arxiv.org
For positive integers $ M\mid N $ and an order of discriminant $\Delta $ in an imaginary
quadratic field $ K $ with discriminant $\Delta_K<-4$, we determine the fiber of the …
quadratic field $ K $ with discriminant $\Delta_K<-4$, we determine the fiber of the …
Kitaoka's Conjecture for quadratic fields
We prove that there are at most 13 real quadratic fields that admit a ternary universal
quadratic lattice, thus establishing a strong version of Kitaoka's Conjecture for quadratic …
quadratic lattice, thus establishing a strong version of Kitaoka's Conjecture for quadratic …
Uniform effective estimates for| L (1, χ)|
A Languasco, TS Trudgian - Journal of Number Theory, 2022 - Elsevier
Let L (s, χ) be the Dirichlet L-function associated to a non-principal primitive Dirichlet
character χ defined mod q, where q≥ 3. We prove, under the assumption of the Generalised …
character χ defined mod q, where q≥ 3. We prove, under the assumption of the Generalised …
An explicit upper bound for| ζ (1+ it)|
D Patel - Indagationes Mathematicae, 2022 - Elsevier
An explicit upper bound for |ζ(1+it)| - ScienceDirect Skip to main contentSkip to article
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