# Somabha Mukherjee

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bio website location age 22 member for 3 years seen Dec 3 at 15:16 profile views 153

A college student and a lover of Number Theory

# 31 Questions

 6 Limit inferior of the quotient of two consecutive primes 6 A “prime-mapping” polynomial 5 $0 \leq a^2 + b^2 - abc \leq c \implies a^2 + b^2 - abc$ is a perfect square 3 Symmetric Borel sets in the plane 3 On the gaps between consecutive primes

# 762 Reputation

 +5 Is a Riemann integrable function always measurable? +15 Prove that $E(\mathbf{u}|\mathbf{X})=\mathbf{0}$ implies $Cov(\mathbf{x},\mathbf{u})=0$ +5 Is sigma-finiteness required? +15 Bernoulli Trial Help!

 5 A strange-looking identity 4 If a function $f:\mathbb R\to\mathbb R$ is proper, then it tends to infinity as $x\to \infty$ 4 Find the equation of a line which is perpendicular to a given vector and passing through a known point 4 How many numbers $\in [1 .. 10^9]$ that are not of the form $x^2, x^3$ or $x^5$? 2 Prove that $\langle , \rangle$ is an inner product iff $A$ is a positive definite, symmetrix matrix.

# 40 Tags

 8 linear-algebra × 9 4 limits × 2 6 general-topology × 7 4 vector-analysis 5 real-analysis × 7 4 combinatorics 5 calculus × 2 4 discrete-mathematics 5 integration 1 number-theory × 5

# 3 Accounts

 Mathematics 762 rep 211 MathOverflow 122 rep 6 Cross Validated 101 rep 1