In number theory, Tunnell's theorem gives a partial resolution to the congruent number problem, and under the Birch and Swinnerton-Dyer conjecture, a...

{\displaystyle L(\rho ,s)} we obtain the Chebotarev density theorem as a generalization of Dirichlet's theorem on arithmetic progressions. Artin L-functions satisfy...

Thue's theorem (Diophantine equation) Thue–Siegel–Roth theorem (Diophantine approximation) Tijdeman's theorem (Diophantine equations) Tunnell's theorem (number...

Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be...

triplets satisfying 2x2 + y2 + 32z2 = n. This statement, due to Tunnell's theorem (Tunnell 1983), is related to the fact that n is a congruent number if...

problem (a corollary to Birch and Swinnerton-Dyer conjecture, per Tunnell's theorem): determine precisely what rational numbers are congruent numbers...

problem, a finite testing procedure is known only conjecturally, via Tunnell's theorem, under the assumption that the Birch and Swinnerton-Dyer conjecture...

later became a key component in the proof of Fermat's Last Theorem. He proved Tunnell's theorem in 1983, which gives a partial unconditional solution to...

2019[update], this problem has not been brought to a successful resolution. Tunnell's theorem provides an easily testable criterion for determining whether a number...

Nigerian comedian, actor, and writer. Jerrold B. Tunnell, 71, American mathematician (Tunnell's theorem), traffic collision. Roland White, 83, American...

geometry) Modularity theorem Moduli stack of elliptic curves Nagell–Lutz theorem Riemann–Hurwitz formula Wiles's proof of Fermat's Last Theorem Sarli, J. (2012)...

finite fields was carried out by Taira Honda and Tate (the Honda–Tate theorem). The Tate conjectures are the equivalent for étale cohomology of the Hodge...

by Langlands and Tunnell) was the starting point of Andrew Wiles' attack on the Taniyama–Shimura conjecture and Fermat's Last Theorem. In the mid-1980s...

simplified key ingredients used in the proof of the Bombieri–Vinogradov theorem. He also applied the large sieve to study the asymptotics of Galois groups...

dimension 0 and E contains K then ε(ρ, s, ψE) = ε(IndE/Kρ, s, ψK) Brauer's theorem on induced characters implies that these three properties characterize...