Estimates for smooth Weyl sums on minor arcs
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 657-668, March 2025.Abstract We provide new estimates for smooth Weyl sums on minor arcs and explore their consequences for the distribution of the fractional parts of αnk$\alpha n^k$. In particular, when k⩾6$k\geqslant 6$ and ρ(k)$\rho (k)$ is defined via the relation ρ(k)−1=k(logk+8.02113)$\rho (k)^{-1}=k(\log k+8.02113)$, then for all large numbers N$N$ there is an ...
Jörg Brüdern, Trevor D. Wooley
wiley +1 more source
The singular series of a cubic form in many variables and a new proof of Davenport's Shrinking Lemma
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 681-691, March 2025.Abstract We study the singular series associated to a cubic form with integer coefficients. If the number of variables is at least 10, we prove the absolute convergence (and hence positivity) under the assumption of Davenport's Geometric Condition, improving on a result of Heath‐Brown. For the case of nine variables, we give a conditional treatment. We
Christian Bernert
wiley +1 more source
Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences. [PDF]
Entropy (Basel), 2023 Horváth L.
europepmc +1 more source
Finite-time and fixed-time stabilization of multiple memristive neural networks with nonlinear coupling. [PDF]
Cogn Neurodyn, 2022 Yang C, Liu Y, Huang L.
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Applications of some exponential sums on prime powers: a survey
, 2016 A survey paper on some recent results on additive problems with prime ...
Languasco, Alessandro
core
A surprising formula for Sobolev norms. [PDF]
Proc Natl Acad Sci U S A, 2021 Brezis H, Van Schaftingen J, Yung PL.
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
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From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
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A machine learning approach to quantify gender bias in collaboration practices of mathematicians. [PDF]
Front Big Data, 2022 Steinfeldt C, Mihaljević H.
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Optimal vaccination: various (counter) intuitive examples. [PDF]
J Math Biol, 2023 Delmas JF, Dronnier D, Zitt PA.
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