Results 131 to 140 of about 53,013 (201)

Mixed motives and linear forms in the Catalan constant

open access: yesJournal 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   +2 more
wiley   +1 more source

Three methods for measuring the Earth's magnetic field intensity in Apis mellifera (Hymenoptera: Apidae) drone congregation areas. [PDF]

open access: yesEnviron Entomol
Pulido-Guarín H   +5 more
europepmc   +1 more source

Bordered Floer homology, handlebody detection, and compressing diffeomorphisms

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We show that, up to connected sums with integer homology L$L$‐spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebody or compression body. Using this, we combine ideas of Casson–Long with the theory of train tracks to give an algorithm using bordered Floer homology to detect ...
Akram Alishahi, Robert Lipshitz
wiley   +1 more source

The shifted convolution problem in function fields. [PDF]

open access: yesMath Ann
Florea A, Lalín M, Malik A, Sahay A.
europepmc   +1 more source

Bounded exponential sums with multiplicative coefficients

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley   +1 more source

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

open access: yesMathematika, 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   +2 more
wiley   +1 more source

An effective Bombieri–Vinogradov error term for sifting problems

open access: yesMathematika, 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

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