Field theory and polynomials

The 30 problems with a statement whose AMS attribute names 12, Field theory and polynomials, in the Mathematics Subject Classification. A problem with statements in several subjects is listed under each; its article sits in its source folder's part.

Erdős Problem 228 to Tarski's exponential function…

• Erdős Problem 228
• Erdős Problem 477
• Erdős Problem 485
• Erdős Problem 522
• Erdős Problem 990
• Erdős Problem 1114
• Erdős Problem 1150
• Apéry numbers
• Recurrence \(a(n+1) = 2n(n+1)a(n) - n^4 a(n-1)\) and associated polynomials
• Smallest integer \(s > n\) such that \(1 + 2s + 3s^2 + \dots + n s^{n-1}\) is prime
• Undirected circular permutations with adjacent products minus one all prime
• Normality of Irrational Algebraic Numbers
• Bateman-Horn Conjecture
• Open questions regarding the existence of Euler bricks
• Inverse Galois problem
• Local uniformization
• Mean value problem
• Rational_variety
• Sendov's conjecture
• Tarski's exponential function problem

Ben Green's Open Problem 93 to Lam--Litt conjecture

• Ben Green's Open Problem 93
• Casas-Alvero Conjecture
• Kaplansky's problem on the values of the \(u\)-invariant
• Pfister's problem on the Pythagoras number of \(\mathbb{R}(X_1, \dots, X_n)\)
• Mathoverflow 21003
• Mathoverflow 339137
• Schur's theorem on Galois groups of truncated exponential polynomials
• The symbol length of \(K^M_n(\mathbb{C}(x_1, \dots, x_m))/p\)
• Hilbert's 17th problem
• Lam--Litt conjecture

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