theory, a Landau–Siegel zero or simply Siegel zero, also known as exceptional zero), named after Edmund Landau and Carl Ludwig Siegel, is a type of potential...

contributions to the Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, Siegel's lemma and the Siegel mass formula for quadratic...

class number 1 problem The 1935 result on the Siegel zero The Siegel–Walfisz theorem based on the Siegel zero. The concrete information that was left theoretically...

rower Brauer–Siegel theorem Gelfand–Naimark–Segal construction Siegel modular form Segal space Newell–Whitehead–Segel equation Siegel zero Chagall (disambiguation)...

subject had not changed since. Zhang, Yitang (2007). "On the Landau-Siegel Zeros Conjecture". arXiv:0705.4306 [math.NT]. Zhang, Yitang (2014). "Bounded...

powers. The L-function L(s, χd) formed with the Legendre symbol, has no Siegel zero, given a uniform version of the abc conjecture in number fields, not...

conjecture that all the non-trivial zeros lie on the critical line Re(s) = 1/2. Up to the possible existence of a Siegel zero, zero-free regions including and...

Dirichlet L-functions. In particular it implies the conjecture that Siegel zeros (zeros of L-functions between 1/2 and 1) do not exist. The extended Riemann...

global L-functions should be automorphic. The Siegel zero, conjectured not to exist, is a possible real zero of a Dirichlet L-series, rather near s = 1....

constant De Bruijn–Newman constant Dirichlet character Dirichlet L-series Siegel zero Dirichlet's theorem on arithmetic progressions Linnik's theorem Elliott–Halberstam...

the argument is one-half. It is also called the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function...

there is an infinite number of twin primes, as would the existence of Siegel zeroes. In 1940, Paul Erdős showed that there is a constant c < 1 and infinitely...

one variable. He has also made contributions to the understanding of Siegel zeroes, to the ABC conjecture, to modular forms on GL ⁡ ( n ) {\displaystyle...

In mathematics, Siegel's theorem on integral points states that a curve of genus greater than zero has only finitely many integral points over any given...

Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly...

Superman is a superhero created by writer Jerry Siegel and artist Joe Shuster, which first appeared in the comic book Action Comics #1, published in the...

doi:10.2307/2118638 with P. Lockhart Coefficients of Maass forms and the Siegel zero, Annals of Mathematics, vol. 140, 1994, pp. 161–181 doi:10.2307/2118543...

specific case of the Piltz divisor problem for k = 1 {\displaystyle k=1} Do Siegel zeros exist? Find the value of the De Bruijn–Newman constant. Can integer factorization...

books. By using a theorem by Carl Ludwig Siegel providing an upper bound for the real zeros (see Siegel zero) of Dirichlet L-functions formed with real...

In mathematics, the Riemann–Siegel theta function is defined in terms of the gamma function as θ ( t ) = arg ⁡ ( Γ ( 1 4 + i t 2 ) ) − log ⁡ π 2 t {\displaystyle...

the hypothetical Siegel zero near s = 1. While numerical results for small cases had indicated that there were few such real zeroes, further analysis...

In mathematics, Roth's theorem or Thue–Siegel–Roth theorem is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative...

Tau Zero is a hard science fiction novel by American writer Poul Anderson. The novel was based upon the short story "To Outlive Eternity" appearing in...

In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic...

Harman, and Pintz estimates for the Legendre conjecture and better Siegel zeros free regions could also be expected among others. The Riemann zeta function...

Games |". Mathenchant.wordpress.com. 2015-08-12. Retrieved 2019-01-09. Siegel, Aaron (20 November 2023). Combinatorial Game Theory. American Mathematical...

acquaintance: (1) Is zero an even number? ... Many couples disagree..." Wilden & Hammer 1987, p. 104 Snow 2001; Morgan 2001 Steinberg 1999; Siegel 1999; Stingl...

probability e−μ/2 at zero; thus it is a mixture of discrete and continuous distributions Siegel, A. F. (1979), "The noncentral chi-squared distribution with zero degrees...

to E-functions is the Siegel–Shidlovsky theorem (also known as the Siegel and Shidlovsky theorem), named after Carl Ludwig Siegel and Andrei Borisovich...

The test was popularized by Sidney Siegel (1956) in his influential textbook on non-parametric statistics. Siegel used the symbol T for the test statistic...