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Questions on advanced topics - beyond those in typical introductory courses: higher degree algebraic number and function fields, Diophantine equations, geometry of numbers / lattices, quadratic forms, discontinuous groups and and automorphic forms, Diophantine approximation, transcendental numbers, elliptic curves and arithmetic algebraic geometry, exponential and character sums, Zeta and L-functions, multiplicative and additive number theory, etc.

2 votes
0 answers
75 views

Why is the additive identity different to the multiplicative and exponential?

The additive identity is 0. The multiplicative and exponential identities are 1. Exponentiation is repeated multiplication, and multiplication is repeated addition. If you go up a further level, to …
RoadieRich's user avatar
0 votes
1 answer
88 views

More irrational than the Golden Ratio?

According to this video, $\varphi$ is the most irrational number, due to its continued fraction form having $1$, the smallest natural number, in the denominators. Is it not possible to construct a "m …
RoadieRich's user avatar