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Results tagged with algebraic-number-theory
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user 123309
Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces
6
votes
1
answer
667
views
Extension of Erdos-Selfridge Theorem
Erdos and Selfridge open their paper "The Product of Consecutive Integers is Never a Power" (1974) with the theorem
$\text{Theorem 1:}$ The product of two or more consecutive positive integers is …
- 39.9k
5
votes
Connection Between Knot Theory and Number Theory
I recommend Chao Li/Charmaine Sia's notes for a brisk and illustrated overview of the ever-growing MKR dictionary detailed in Knots and Primes. The first three or so chapters of the source book is rat …
- 429