Results 121 to 130 of about 1,483,300 (312)
The Bombieri–Vinogradov theorem for exponential sums over primes [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we revisit Lemma 18 from [2], which concerns a Bombieri–Vinogradov type theorem for exponential sums over primes. We provide a corrected version of the lemma, clarify the original arguments, and address certain inaccuracies present in the ...
Stoyan Dimitrov
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Advanced Engineering Materials, EarlyView.Curvature‐tuned auxetic lattices are designed, fabricated, and mechanically characterized to reveal how geometric curvature governs stretchability, stress redistribution, and Poisson's ratio evolution. Photoelastic experiments visualize stress pathways, while hyperelastic simulations quantify deformation mechanics.
Shuvodeep De +3 more
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Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
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A Novel Integral Equation for the Riemann Zeta Function and Large t-Asymptotics
Mathematics, 2019 Based on the new approach to Lindelöf hypothesis recently introduced by one of the authors, we first derive a novel integral equation for the square of the absolute value of the Riemann zeta function.
Konstantinos Kalimeris +1 more
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On values of exponential sums [PDF]
Proceedings of the American Mathematical Society, 1975 An exponential sum is defined by \[ G ( F , φ , α ) = ∑ γ ϵ ( Z / q Z )
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Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
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Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
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On the non-hyperbolicity of a class of exponential polynomials
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we have constructed a class of non-hyperbolic exponential polynomials that contains all the partial sums of the Riemann zeta function. An exponential polynomial been also defined to illustrate the complexity of the structure of the set ...
Gaspar Mora
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, 2006 Let $k$ be a finite field of characteristic $p$, $l$ a prime number distinct to $p$, $ :k\to \bar {\bf Q}_l^\ast$ a nontrivial additive character, and $ :{k^\ast}^n\to \bar{\bf Q}_l^\ast$ a character on ${k^\ast}^n$. Then $ $ defines an Artin-Schreier sheaf ${\cal L}_ $ on the affine line ${\bf A}_k^1$, and $ $ defines a Kummer sheaf ${\cal K}_ $
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Homogeneous weights and exponential sums
Finite Fields and Their Applications, 2003 Let \({\mathbb F}_{q}\) be a finite field of characteristic \(p\) with \(q=p^{ \mu}\) elements, and \(W_{l}({\mathbb F}_{q})\) the ring of Witt vectors of length \(l\) over \({\mathbb F}_{q}\). The ring \(W_{l}({\mathbb F}_{q})\) is a finite local ring with \(q^{l}\) elements. The maximal ideal of \(W_{l}({\mathbb F}_{q})\) is generated by \(p\), and \(
Voloch, José Felipe, Walker, Judy L.
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