Tau conjecture information

the tau conjecture may refer to one of Lehmer's conjecture on the non-vanishing of the Ramanujan tau function The Ramanujan–Petersson conjecture on the...

The Ramanujan tau function, studied by Ramanujan (1916), is the function τ : N → Z {\displaystyle \tau :\mathbb {N} \rightarrow \mathbb {Z} } defined by...

theorem (formerly called the Taniyama–Shimura conjecture, Taniyama-Shimura-Weil conjecture or modularity conjecture for elliptic curves) states that elliptic...

In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by...

allowing physics to form a bridge between two mathematical areas. The conjectures made by Conway and Norton were proven by Richard Borcherds for the moonshine...

Tau Ceti, Latinized from τ Ceti, is a single star in the constellation Cetus that is spectrally similar to the Sun, although it has only about 78% of...

In mathematics, the Weil conjectures were highly influential proposals by André Weil (1949). They led to a successful multi-decade program to prove them...

decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found. For thousands of years, mathematicians have attempted...

Tau Ceti f is a confirmed exoplanet that is a potential super-Earth or mini-Neptune orbiting Tau Ceti that was discovered in 2012 by statistical analyses...

{:}}\tau \to \tau '\to \tau ''.\lambda y{\mathbin {:}}\tau \to \tau '.\lambda z{\mathbin {:}}\tau .xz(yz):(\tau \to \tau '\to \tau '')\to (\tau \to \tau ')\to...

tau )&=q^{-1/168}F_{1}(q)+R_{7,1}(\tau )\\[4pt]M_{2}(\tau )&=-q^{-25/168}F_{2}(q)+R_{7,2}(\tau )\\[4pt]M_{3}(\tau )&=q^{47/168}F_{3}(q)+R_{7,3}(\tau )\end{aligned}}}...

equivalent to the following long standing problems: Kirchberg's QWEP conjecture in C*-algebra theory Tsirelson's problem in quantum information theory...

prove the remaining cases of the Langlands conjectures for GL2. Laurent Lafforgue proved the Langlands conjectures for GLn of a function field by studying...

In mathematics, the Tamagawa number τ ( G ) {\displaystyle \tau (G)} of a semisimple algebraic group defined over a global field k is the measure of G...

investigated the topic. Divisor function J. Zelinsky, "Tau Numbers: A Partial Proof of a Conjecture and Other Results," Journal of Integer Sequences, Vol...

geometry opened up new areas of research. That Ramanujan conjecture is an assertion on the size of the tau-function, which has a generating function as the discriminant...

{\textstyle M(p)=\lim _{\tau \to 0}\|p\|_{\tau }} where ‖ p ‖ τ = ( ∫ 0 1 | p ( e 2 π i θ ) | τ d θ ) 1 / τ {\textstyle \,\|p\|_{\tau }=\left(\int _{0}^{1}|p(e^{2\pi...

cannot be approximated up to a factor smaller than 2 if the unique games conjecture is true. On the other hand, it has several simple 2-factor approximations...

modular curve. The modularity theorem, also known as the Taniyama–Shimura conjecture, asserts that every elliptic curve defined over the rational numbers is...

dimensions; this duality is now known as the Hodge star operator. He further conjectured that each cohomology class should have a distinguished representative...