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The zeros of the eta function include all the zeros of the zeta function: the negative even integers (real equidistant simple zeros); the zeros along the critical line, none of which are known to be multiple and over 40% of which have been proven to be simple, and the hypothetical zeros in the critical strip but not on the critical line, which if they do exist must occur at the vertices of ...
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
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In mathematics, eta function may refer to: The Dirichlet eta function η(s), a Dirichlet series; The Dedekind eta function η(τ), a modular form; The Weierstrass eta function η(w) of a lattice vector; The eta function η(s) used to define the eta invariant
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Eta in the function of /h/ on the ostrakon of Megacles, son of Hippocrates, 487 BC. Inscription: ΜΕΓΑΚLES HIΠΠΟΚRATOS. On display in the Ancient Agora Museum in Athens, housed in the Stoa of Attalus. Eta in the function of /h/ on an Attic red-figured calyx-krater, 515 BC. Amongst the depicted figures are Hermes and Hypnos.
Variable names and many symbols look very different with raw HTML and the other display methods. This may be confusing in the common case where several methods are used in the same article. Moreover, mathematicians who are used to reading and writing texts written with LaTeX often find the raw HTML rendering awful.
In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics.