Sharpenings of Li's Criterion for the Riemann Hypothesis [PDF]
, 2006 André Voros
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A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
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The Effect of the Density of Square-Free ωp-numbers on the Bounds of Beurling Counting Function
Zanco Journal of Pure and Applied SciencesPrimitive weird numbers are weird numbers which are not a multiple of any smaller weird numbers. The goal of this work is to use a square-free primitive weird number x=ab where b be an increasing sequence of prime numbers such that q1 is greater than ∏
Sarah Al-Ebrahimy, Eman F. Mohommed
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Riemann hypothesis for period polynomials of modular forms. [PDF]
Proc Natl Acad Sci U S A, 2016 Jin S, Ma W, Ono K, Soundararajan K.
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
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A new class of solutions to the van Dantzig problem, the Lee-Yang property, and the Riemann hypothesis [PDF]
, 2022 T. Konstantopoulos, P. Patie, R. Sarkar
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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Möbius convolutions and the Riemann hypothesis
International Journal of Mathematics and Mathematical Sciences, 2005 Luis Báez-Duarte
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Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz
Forum of Mathematics, SigmaSchubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
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Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi +3 more
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