Zobrazeno 1 - 10
of 2 191
pro vyhledávání: '"A. Hamieh"'
Autor:
Hamieh, Alia, Wong, Peng-Jie
In this article, we study the density conjecture of Katz and Sarnak for $L$-functions of ad\'elic Hilbert modular forms and their convolutions. In particular, under the generalised Riemann hypothesis, we establish several instances supporting the con
Externí odkaz:
http://arxiv.org/abs/2412.03034
This is a list of problems that were collected from participants at the Comparative Prime Number Theory Symposium held at UBC from June 17 to June 21, 2024. Its goal is to stimulate research and future collaborations in this growing field. This event
Externí odkaz:
http://arxiv.org/abs/2407.03530
This is an ongoing list of problems that has resulted from the PIMS (Pacific Institute of Mathematical Sciences) Collaborative Research Group L-functions in Analytic Number Theory: 2022- 2025. The focus of this list is on Moments of $L$-functions and
Externí odkaz:
http://arxiv.org/abs/2405.17800
Vibrations of damaged bearings are manifested as modulations in the amplitude of the generated vibration signal, making envelope analysis an effective approach for discriminating between healthy and abnormal vibration patterns. Motivated by this, we
Externí odkaz:
http://arxiv.org/abs/2405.08919
Given a multiplicative function $f$, we let $S(x,f)=\sum_{n\leq x}f(n)$ be the associated partial sum. In this note, we show that lower bounds on partial sums of divisor-bounded functions result in lower bounds on the partial sums associated to their
Externí odkaz:
http://arxiv.org/abs/2405.00658
In this article, we prove an asymptotic formula for the mean value of long smoothed Dirichlet polynomials with divisor coefficients. Our result has a main term that includes all lower order terms and a power saving error term. This is derived from a
Externí odkaz:
http://arxiv.org/abs/2309.08057
Let $N$ be a fixed positive integer, and let $f\in S_k(N)$ be a primitive cusp form given by the Fourier expansion $f(z)=\sum_{n=1}^{\infty} \lambda_f(n)n^{\frac{k-1}{2}}e(nz)$. We consider the partial sum $S(x,f)=\sum_{n\leq x}\lambda_f(x)$. It is c
Externí odkaz:
http://arxiv.org/abs/2308.06311
We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve over $\mathbb{Q}(i)$, and Suzuki's evaluation of the Fourier-Whittaker c
Externí odkaz:
http://arxiv.org/abs/2306.11875
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-12 (2024)
Abstract The emission of glyphosate and antibiotic residues from human activities threatens the diversity and functioning of the microbial community. This study examines the impact of a glyphosate-based herbicide (GBH) and common antibiotics on Gram-
Externí odkaz:
https://doaj.org/article/bba239a81d7046c5a32d1a301e28073c
Autor:
Tayssir Hamieh, Vladimir Yu Gus'kov
Publikováno v:
Chemistry, Vol 6, Iss 5, Pp 830-851 (2024)
The surface thermodynamic properties of polymers and copolymers modified by supramolecular structures are used in several industrial processes, such as selective adsorption, paints, coatings, colloids, and adhesion applications. Background: Inverse g
Externí odkaz:
https://doaj.org/article/fd56b391d7f648608744973e6c1e06a0