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Everything about Z function
Mathematical function
In mathematics, the Z function is a function used for studying the Riemann zeta function along the critical line where the argument is one-half. It is also called the RiemannāSiegel Z function, the RiemannāSiegel zeta function, the Hardy function, the Hardy Z function and the Hardy zeta function. It can be defined in terms of the RiemannāSiegel theta function and the Riemann zeta function by Wikipedia ā
š§ Start here: a 6-step reading path
- Read the overview: Z functionA 5-minute orientation
- Skim a recent paper: De novo design of protein structure and function with RFdiffusionInfluential work since 2022
- Pick up a classic book: Z88 ComputingThe most-reprinted book on the subject
- Read the landmark paper: AutoDock Vina: Improving the speed and accuracy of docking with a new scoring function, efficient optimization, and multithreadingCited 35,966 times
- Go sideways: Montgomery's pair correlation conjectureA closely related topic
- Go sideways: Wrapped Cauchy distributionA closely related topic
š Definitions
No dictionary entry for this exact phrase.
šļø The subject at a glance
š Landmark papers (most cited)
AutoDock Vina: Improving the speed and accuracy of docking with a new scoring function, efficient optimization, and multithreading
Effect of the damping function in dispersion corrected density functional theory
Homeostasis model assessment: insulin resistance and ?-cell function from fasting plasma glucose and insulin concentrations in man
Greedy function approximation: A gradient boosting machine.
A Simplex Method for Function Minimization
Hierarchical Grouping to Optimize an Objective Function
The Structure and Function of Complex Networks
Approximation by superpositions of a sigmoidal function
š Influential since 2022
De novo design of protein structure and function with RFdiffusion
Wnt/β-catenin signalling: function, biological mechanisms, and therapeutic opportunities
Histone post-translational modifications ā cause and consequence of genome function
ProteinBERT: a universal deep-learning model of protein sequence and function
New insights into activation and function of the AMPK
š Books worth reading
- šZ88 ComputingIan Robertson Sinclair Ā· 1988
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
š Related topics
- Montgomery's pair correlation conjecture In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery (1973) that the pair correlation between pairs of zerosā¦
- Wrapped Cauchy distribution In probability theory and directional statistics, a wrapped Cauchy distribution is a wrapped probability distribution that results from the "wrapping"ā¦
- Mertens function In number theory, the Mertens function is defined for all positive integers n as M ( n ) = ā k = 1 n μ ( k ) , {\displaystyle M(n)=\sum _{k=1}^{n}\mu (k)ā¦
- Airy zeta function In mathematics, the Airy zeta function, studied by Crandall (1996), is a function analogous to the Riemann zeta function and related to the zeros of theā¦
- Riesz function In mathematics, the Riesz function is an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power seriesā¦
- RiemannāSiegel theta function In mathematics, the RiemannāSiegel theta function is defined in terms of the gamma function as Īø(t)=argā”(Ī(14+it2))ālogā”Ļ2t for real values of t. Hereā¦
- Particular values of the Riemann zeta function In mathematics, the Riemann zeta function is a function in complex analysis, which is also important in number theory. It is often denoted ζ ( s ) {\displaystylā¦
- Barnes G-function In mathematics, the Barnes G-function G ( z ) {\displaystyle G(z)} is a function that is an extension of superfactorials to the complex numbers. It isā¦