Unverified50% confidenceFactExact time
The generalized Riemann hypothesis (GRH) asserts that the zeros of all Dirichlet L-functions also all lie on the critical line.
1
Sources
50%
Confidence
Long-term
Relevance
10/27/2026
First Seen
Sources
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Related Claims
UnverifiedThe core statement of the Riemann hypothesis is: all non-trivial zeros of the Riemann zeta function lie on the critical line in the complex plane where the real part is 1/2.76% similarUnverifiedSiegel zeros (Landau-Siegel zeros) refer to possible exceptional zeros of Dirichlet L-functions near the critical line on the real axis; if they exist, they would disrupt the uniform distribution of primes in arithmetic progressions.72% similarUnverifiedThe Hölder ball H_1^s([0,1]^D) requires all seminorms of the function to be at most 1, and is therefore a bounded set of smooth functions.64% similarUnverifiedDirichlet L-functions are generalizations of the Riemann zeta function; given a modulus q, an L-function only "sees" the primes in a certain residue class modulo q.57% similarUnverified导数的数值近似公式为 (f(a+h)-f(a))/h，源自微积分中极限的定义57% similar
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