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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
196
views
Primality test for $N=4p+1$
Can you prove or disprove the following claim:
Let $N=4p+1$ where $p$ is an odd prime number , let $T_n(x)$ be the nth Chebyshev polynomial of the first kind and let $F_n(x)$ denote an irreducible fa …
4
votes
1
answer
110
views
Primality test for specific class of natural numbers using factors of Lucas polynomials
This question is related to my previous question.
Can you prove or disprove the following claim:
Let $N=2n+1$ where $n$ is an odd natural number greater than one , let $L_m(x)$ be the mth Lucas polyn …