Results 121 to 130 of about 3,206 (154)

Roadmap on computational methods in optical imaging and holography [invited]. [PDF]

Appl Phys B
Rosen J, Alford S, Allan B, Anand V, Arnon S, Arockiaraj FG, Art J, Bai B, Balasubramaniam GM, Birnbaum T, Bisht NS, Blinder D, Cao L, Chen Q, Chen Z, Dubey V, Egiazarian K, Ercan M, Forbes A, Gopakumar G, Gao Y, Gigan S, Gocłowski P, Gopinath S, Greenbaum A, Horisaki R, Ierodiaconou D, Juodkazis S, Karmakar T, Katkovnik V, Khonina SN, Kner P, Kravets V, Kumar R, Lai Y, Li C, Li J, Li S, Li Y, Liang J, Manavalan G, Mandal AC, Manisha M, Mann C, Marzejon MJ, Moodley C, Morikawa J, Muniraj I, Narbutis D, Ng SH, Nothlawala F, Oh J, Ozcan A, Park Y, Porfirev AP, Potcoava M, Prabhakar S, Pu J, Rai MR, Rogalski M, Ryu M, Choudhary S, Salla GR, Schelkens P, Şener SF, Shevkunov I, Shimobaba T, Singh RK, Singh RP, Stern A, Sun J, Zhou S, Zuo C, Zurawski Z, Tahara T, Tiwari V, Trusiak M, Vinu RV, Volotovskiy SG, Yılmaz H, De Aguiar HB, Ahluwalia BS, Ahmad A.   +82 more
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Full-field optical coherence microscopy enables high-resolution label-free imaging of the dynamics of live mouse oocytes and early embryos. [PDF]

Commun Biol
Morawiec S, Ajduk A, Stremplewski P, Kennedy BF, Szkulmowski M.   +4 more
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Linnikの問題について (数論 : Diophantine Problem)

Linnikの問題について (数論 : Diophantine Problem)
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Goldbach–Linnik type problems on eight cubes of primes

Rocky Mountain Journal of Mathematics, 2022
A classical result of \textit{L. K. Hua} [Additive theory of prime numbers. Providence, RI: American Mathematical Society (AMS) (1965; Zbl 0192.39304)] states that if \(N\) is a sufficiently large odd integer, then the equation \(N = \sum_{1\leq i\leq 9} p_i^3\) is soluble in primes \(p_1,\dots,p_9\).
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Goldbach–Linnik type problems with mixed powers of primes

The Ramanujan Journal, 2022
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Goldbach–Linnik type problems on cubes of primes

The Ramanujan Journal, 2020
The letters \(p\) and \(\nu \), with or without a subscript, always denote a prime number and a positive integer, respectively. In this paper under review, the author proves the following three Goldbach-Linnik type results. Theorem 1.1. For \(k=658\), the equations \[ \begin{cases} N_1=p_1^3+\cdots +p_8^3+2^{\nu_1}+\cdots+2^{\nu_k}& \\ N_2=p_9^3+\cdots
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Two results on Goldbach–Linnik problems for cubes of primes

Rocky Mountain Journal of Mathematics, 2022
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Cyclicity of elliptic curves modulo p and elliptic curve analogues of Linnik?s problem

Mathematische Annalen, 2004
Let \(E\) be an elliptic curve defined over \(\mathbb Q\) with conductor \(N\), let \(p\) be a prime not dividing \(N\), and let \(\overline {E}\) be the reduction of \(E\) modulo \(p\). The curve \(\overline {E}\) is an elliptic curve defined over the finite field \(\mathbb F_{p}\), and it is known that the group of \(\mathbb F_{p}\)-rational points \(
Cojocaru, Alina Carmen, Murty, M. Ram
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Powers of 2 in two Goldbach-Linnik type problems involving prime cubes

Discrete Mathematics
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Han, Xue, Liu, Huafeng
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Goldbach-Linnik type problems involving unequal powers of primes and powers of 2

Bulletin of the Belgian Mathematical Society - Simon Stevin
The paper under review establishes the following two theorems about simultaneous representations of pairs of positive integers as sums of prime powers and powers of 2. Theorem 1. For \(k_1=34\), the system of equations \[ \begin{split} N_1 &= p_1+p_2^2+p_3^3+p_4^4 +2^{v_1} +2^{v_2} + \cdots +2^{v_{k_1}},\\ N_2 &= p_5+p_6^2+ p_7^3+ p_8^4+2^{v_1}+2^{v_2}
Han, Xue, Liu, Huafeng, Yue, Ruiyang
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