Results 91 to 100 of about 1,583,888 (199)

AN ARITHMETIC EQUIVALENCE OF THE RIEMANN HYPOTHESIS

Journal of the Australian Mathematical Society, 2018
Let $h(n)$ denote the largest product of distinct primes whose sum does not exceed $n$ . The main result of this paper is that the property for all $n\geq 1$ , we have $\log h(n)
M. Deléglise, J. Nicolas
semanticscholar   +1 more source

Senegenin regulates the mechanism of insomnia through the Keap1/Nrf2/PINK1/Parkin pathway mediated by GAD67

Journal of Sleep Research, Volume 34, Issue 3, June 2025.
Summary GAD67 impacts insomnia as a key enzyme catalysing the conversion of glutamate (Glu) to gamma‐aminobutyric acid (GABA). Senegenin enhances neuroprotection and is used widely to treat insomnia and other neurological diseases. This study aimed to investigate how senegenin regulates insomnia through a GAD67‐mediated signalling pathway.
Honglin Jia, Xu Chen, Zhengting Liang, Ruining Liang, Jinhong Wu, Yanling Hu, Wenjun Cui, Xingping Zhang   +7 more
wiley   +1 more source

Mellin and Widder–Lambert Transforms with Applications in the Salem Equivalence to the Riemann Hypothesis

Axioms
This paper presents a comprehensive study of Plancherel’s theorem and inversion formulae for the Widder–Lambert transform, extending its scope to Lebesgue integrable functions, compactly supported distributions, and regular distributions with compact ...
Emilio R. Negrín, Jeetendrasingh Maan, Benito J. González   +2 more
doaj   +1 more source

Smartphone application‐delivered cognitive behavioural therapy for insomnia with telephone support for insomnia disorder compared to a waitlist control: a randomised clinical trial

Journal of Sleep Research, Volume 34, Issue 3, June 2025.
Summary Although there have been promising findings for smartphone application (app)‐delivered cognitive behavioural therapy for insomnia (CBT‐I), previous trials have not screened participants rigorously for insomnia disorder and used therapist support.
Markus Jansson‐Fröjmark, Rikard Sunnhed   +1 more
wiley   +1 more source

Predictability of sleep in insomnia: sleep patterns of patients from a sleep psychology clinic

Journal of Sleep Research, Volume 34, Issue 3, June 2025.
Summary The present study aims at identifying sleep patterns in insomnia in a clinical sample using three strategies to define poor nights. Sleep diaries and self‐reported questionnaires were collected from 77 clinical patients with insomnia. The conditional probabilities of observing a poor night after 1, 2, or 3 consecutive poor nights were computed ...
Dave Laroche, Hans Ivers, Celyne H. Bastien, Annie Vallières   +3 more
wiley   +1 more source

Sleep‐related safety behaviours predict insomnia symptoms 1 year later in a sample of university students

Journal of Sleep Research, Volume 34, Issue 3, June 2025.
Summary Several studies have demonstrated the relevance of cognitive factors in the development of insomnia complaints, but very few have investigated how these factors influence the development of insomnia complaints over time. In this study we set out to investigate key factors associated with present insomnia severity and the development of insomnia
Jaap Lancee, Jan Henk Kamphuis
wiley   +1 more source

Short‐term effects of exposure to workplace bullying on objective sleep: an actigraphy diary study

Journal of Sleep Research, EarlyView.
Summary Exposure to bullying behaviours has been associated with a variety of negative health outcomes, such as sleep complaints. However, the current state of the knowledge is limited regarding the association with objective sleep. The present study investigated the short‐term effects of workplace bullying on objective sleep patterns using an ...
Alfredo Rodríguez‐Muñoz, Mirko Antino, Alejandro Díaz‐Guerra, Ana Isabel Sanz‐Vergel, Arnold B. Bakker   +4 more
wiley   +1 more source

Subjective sleep quality, but not objective sleep measures, mediates the relationship between pre‐sleep worrying and affective wellbeing

Journal of Sleep Research, EarlyView.
Summary Pre‐sleep worrying is associated with sleep disturbance, which in turn is associated with impaired affective wellbeing. However, studies examining the fine‐grained temporal order of these variables are still lacking. In particular, within‐person mediation of the association between pre‐sleep worrying and the following day's affective wellbeing ...
Anika Werner, Justin Hachenberger, Kai Spiegelhalder, Jana‐Elisa Rueth, Angelika A. Schlarb, Arnold Lohaus, Sakari Lemola   +6 more
wiley   +1 more source

Harmonic numbers, harmonic series and zeta function

Moroccan Journal of Pure and Applied Analysis, 2018
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
doaj   +1 more source

Approximate functional approximations and the Riemann hypothesis [PDF]

, 1966
Robert Spira
openalex   +1 more source