supported by the National Key Research and Development Program ofChina(2019YFA0802600,2022YFC2702600);Research Funds of Center for Advanced Interdisciplinary Science and Biomedicine of IHM"(QYPY20230032);the National Natural Science Foundation of China(31970793,32170856 and 32300711);the Anhui Provincial Natural Science Foundation grant(2408085jJ016);the Reproductive and Genetic Hospital of CITIC-XIANGYA(YNXM-202211);the Hunan Provincial Grant for Innovative Province Construction(2019SK4012);the Hundred Youth Talents Program of Hunan Province.
Male fertility is built on the proper proliferation and differentiation of germline cells within the seminiferous epithelium in the testis,which continuously produces millions of sperm per day in mammals[1].RNA modifi...
Supported by NSFC(Nos.12301006,12471009,12071238,11901566,12001047,11971476);Beijing Natural Science Foundation(No.1242003)。
Suppose thatλ_(1),λ_(2),λ_(3),λ_(4),λ_(5)are nonzero real numbers,not all of the same sign,andλ_(1)/λ_(2)is irrational and algebraic.Let V be a well-spaced sequence,δ>0.In this paper,it is proved that,for any...
Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli ...
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
supported by National Research Foundation of Korea Grants 2022R1A2C2006898(to C.-W.H.);2020R1A4A2002691(to H.K.J.,J.-S.B.,and C.-W.H.);2020R1C1C1012729(to J.-H.J.);2021H1D3A2A01099688(to S.S.);Biomedical Research Institute Grant from Kyungpook National University Hospital(2018)and the Korean Health Industry Development Institute(KHIDI);funded by the Ministry of Health and Welfare,Republic of Korea(to J.-H.J.and C.-W.H.).
Neutrophils are primed for neutrophil extracellular trap(NET)formation during diabetes,and excessive NET formation from primed neutrophils compromises wound healing in patients with diabetes.Here,we demonstrate that t...
supported by the National Natural Science Foundation of China(32320103009,31970579);the National Youth Talent Support Program。
Dear Editor,Polycomb group proteins,conserved epigenetic transcriptional repressors,are crucial for orchestrating diverse developmental gene expression programs(Schuettengruber et al.,2017).The polycomb repressive com...
The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit form...
Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers...
This work presents a different approach to twin primes, an approach from the perspective of the Tesla numbers and gives a refresh and new observation of twin primes that could lead us to an answer to the Twin Prime Co...
An elementary formula to know the number of primes in the interval (x, 2x) close to the exact figure for a fixed x is given here. A new elementary equation is derived (a relation between prime numbers and composite nu...