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Penelope
  • Member for 8 years, 3 months
  • Last seen this week
19 votes
3 answers
2k views

why is Terence Tao's definition 3.3 of set intersection so complicated?

16 votes
3 answers
3k views

Proof of Infinitude of Primes by Euler's Product Formula is Circular?

8 votes
5 answers
793 views

Convergence of infinite products flaw in this derivation of Euler product formula?

7 votes
4 answers
2k views

Why are zeros of functions so important?

7 votes
4 answers
495 views

Terminology - domain, codomain, image, and why no "pre-image". [duplicate]

5 votes
1 answer
240 views

Why does infinite sum of finite summands converge in this proof $\sum 1/p$ converge?

5 votes
1 answer
454 views

Validity of simple intuition for $\sum 1/p \sim \log \log n$ work?

5 votes
4 answers
266 views

unexplained inequalities from Niven's 1971 proof $\sum 1/p$ diverges

4 votes
1 answer
124 views

easiest proof of the Prime Number Theorem to study and teach?

4 votes
1 answer
197 views

PNT can't be applied Legendre's Conjecture as it can be to Bertrand's Postulate?

4 votes
1 answer
1k views

What is a polynomial with integer coefficients called?

4 votes
2 answers
90 views

Show that $f(A) \setminus f(B) \subseteq f(A \setminus B)$ - difficulty with quantifiers.

4 votes
2 answers
125 views

Difference between Axiom and Definition? [duplicate]

4 votes
1 answer
718 views

How to show Riemann zeta function $\zeta(s)$ is holomorphic (except at s=1)?

3 votes
1 answer
223 views

Easy proof that $\zeta(s)$ has zeros in $0 < \Re(s) <1$? (Existence, not location)

3 votes
0 answers
111 views

does complex analysis entirely depend on the strong definition of complex derivative?

3 votes
0 answers
89 views

Confusion over $\iff$ and $\implies$ in basic set theory definitions of union and intersection.

3 votes
1 answer
137 views

Popular escape condition for calculating Mandelbrot Set, $|z|>2$, is incomplete?

3 votes
3 answers
175 views

Why does $ x \in (A \cap B)^c \implies x \in A^c \cup B^c $?

3 votes
2 answers
129 views

Why is $g(A) \cap g(B) \subseteq g(A \cap B)$ not true?

3 votes
2 answers
273 views

Correct way to do logical negation? (cf inverse, opposite, contrapositive)

3 votes
1 answer
504 views

factor of Riemann Zeta product formula must be zero?

3 votes
1 answer
225 views

Distribution of prime gaps - is it an unsolved problem?

3 votes
0 answers
182 views

Proof that alternating series form for Riemann zeta function can be zero.

3 votes
1 answer
237 views

Validity of proof $\zeta(s) \neq 0$ for $\sigma\gt1$, where $\sigma$ is the real part of $s$

3 votes
1 answer
258 views

Non-Zeros of Euler Product Shouldn't Imply $\zeta(s)>0$ for $\sigma>1$

3 votes
1 answer
144 views

Show $f^{-1}(f(S))=S$ if and only if $f$ is injective. (stuck on how injectivity helps) [closed]

3 votes
1 answer
93 views

Gap in my proof of $f$ is injective $\implies f^{-1}(f(S))=S$.

3 votes
1 answer
107 views

Unsure of rigorous use of Axiom of Union - example exercise is Tao's Analysis I 3.5.1

2 votes
1 answer
123 views

$n$-tuples as functions - why do they need to be surjective?

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