Hasil untuk "math.NT"

Gabriele Nebe

We show that the second minimum of the Barnes-Wall lattices is a least $3/2$ of the minimum.

Giacomo Bortolussi

We prove asymptotics for the average error term in Bateman-Horn's conjecture in the exponential range.

Tomoki Mihara

We formulate a $p$-adic optimisation problem on matrix factorisation, and investigate a heuristic method for it analogous to PCA.

Umberto Zannier

We prove an improved form of an expectation of Polya and discuss several related questions

Anju Yokoi

The sum formula for $q$-multiple zeta values is a well-known relation. In this paper, we present its generalization for the $q$-multiple zeta function.

Daria Maksimova

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

Tanmay Khale

We establish the first explicit form of the Vinogradov--Korobov zero-free region for Dirichlet $L$-functions.

Léo Poyeton

In this note, we define the notion of $F$-analytic $B$-pairs and we prove that its category is equivalent to the one of $F$-analytic $(\varphi_q,Γ_K)$-modules.

Ala'a Al-Kateeb

In this note, we prove that there is no number with the Lehmer property in the sequences of Jaconsthsl or Jacobsthal-Lucas numbers.

Arkadii Slinko

This is a survey article outlining what is known about absolute primes.

Ritabrata Munshi

In this paper we obtain a sub-Weyl bound for $L(1/2+it,f)$ for $f$ a Hecke modular form.

Eric Saias

We exhibit a family of linear operators related to the almost-periodic approach for the generalized Riemann hypothesis.

Franz Lemmermeyer

We study elements of small norm in quadratic fields of Riachaud-Degert type.

Yoichi Motohashi

We show a new large sieve version of the Brun-Titchmarsh theorem.

Jean Bourgain

In the paper, the occurrence of zeros and ones in the binary expansion of the primes is studied. In particular the statement in the title is established. The proof is unconditional.

Timothy Foo

This is an expository article on relating the Chebotarev Density Theorem to the Bateman-Horn constant.

Hui-Qin Cao, Hao Pan

We prove several congruences for trinomial coefficients.

Taekyun Kim

In this paper we derive the analogue of Lebesque-Radon Nikody theorem with respect to fermionic p-adic invariant measures on Zp

Yuqing Zhang

We study multiplicative Diophantine approximation property of vectors and compute Diophantine exponents of hyperplanes via dynamics.

Michael West

The development of teamworking and multidisciplinary communication across organizational settings, and particularly in healthcare, reflects a growing awareness of the benefits to be derived from this way of working. These benefits, in the form of improved healthcare delivery and better member well-being, are described by reference to research evidence. However, it is pointed out that the greatest barrier to effective teamwork and communication is the organisational context, and the appropriate supports and integration systems to achieve this are identified. The importance of effective team processes and, above all, the team's capacity for reflexivity (reflecting on and adapting objectives, strategies, processes and context) is emphasized.