Results 101 to 110 of about 1,065,609 (199)

Mixed motives and linear forms in the Catalan constant

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari, V. Kumar Murty, Yusuke Nemoto   +2 more
wiley   +1 more source

Zeros of polynomials in derivatives of automorphic L$L$‐functions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu   +2 more
wiley   +1 more source

An effective Bombieri–Vinogradov error term for sifting problems

Mathematika, Volume 72, Issue 4, October 2026.
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Exceptional Antimodes in Multi‐Drive Cavity Magnonics

Advanced Electronic Materials, Volume 12, Issue 18, 21 September 2026.
Driven‐dissipative cavity‐magnonics provides a flexible platform for engineering non‐Hermitian physics such as exceptional points. Here, using a four‐port, three‐mode system with controllable microwave interference, antimodes and coherent perfect extinction (CPE) are realized, enabling active tuning to antimode exceptional points.
Mawgan A. Smith, Ryan D. McKenzie, Alban Joseph, Robert L. Stamps, Rair Macêdo   +4 more
wiley   +1 more source

A Global Prospective Harmonization Framework for Suicidality, Anhedonia, and Obsessive‐Compulsive Symptoms in Psychiatric Genetic Studies: A Cross‐Continental Study Within the Ancestral Population Network

American Journal of Medical Genetics Part B: Neuropsychiatric Genetics, Volume 201, Issue 6, Page 379-395, September 2026.
ABSTRACT This study aims to prospectively collect harmonized, quantitative, and dimensional psychiatric phenotypes (suicidality, anhedonia, and obsessive‐compulsive symptoms) and information on discrimination, stigma, and unfair treatment in up to 27,500 individuals across diverse ancestries and clinical populations for genetic analysis within the NIMH
Ana M. Diaz‐Zuluaga, Jacey L. Anderberg, Ana M. Ramirez‐Diaz, Andrea Horvath Marques, Catherine E. Rast, Daniel Bustamante, Deborah Jonker, Johanna Valencia‐Echeverry, Joseph Kyebuzibwa, Josselyn S. Muñoz, Kristien van der Walt, Mauricio Castaño Ramirez, Olivia Wootton, Renee M. Frederick, Rocky E. Stroud II, Ruben Gur, Sang Jin Rhee, Shaili C. Jha, Stella Gichuru, Susan Service, Victor I. Reus, Akena Dickens, Carlos Lopez‐Jaramillo, Carrie E. Bearden, Dan J. Stein, Ezra S. Susser, James J. Crowley, Jonathan Flint, Kenneth S. Kendler, Lukoye Atwoli, Michele T. Pato, Nelson B. Freimer, Roel A. Ophoff, Yong Min Ahn, Loes Olde Loohuis, Eric A. Storch, Bizu Gelaye   +36 more
wiley   +1 more source

Super-Exponential Approximation of the Riemann–Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods

This paper introduces a Gegenbauer-based fractional approximation (GBFA) method for high-precision approximation of the left Riemann–Liouville fractional integral (RLFI).
Kareem T. Elgindy
core   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

On Evaluation of Riemann Zeta function ζ(s) [PDF]

, 2002
In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core