5,636 reputation
11756
bio website math.haifa.ac.il/~seva
location Israel
age 52
visits member for 4 years, 2 months
seen 7 hours ago
.

17h
revised Cardinality of the prime divisor set of a k-power sum
added 8 characters in body
17h
answered Cardinality of the prime divisor set of a k-power sum
Dec
14
awarded  Nice Answer
Dec
4
revised The divisors of $p-1$ and high-degree residues modulo $p$
tag added
Dec
4
comment The divisors of $p-1$ and high-degree residues modulo $p$
Greg: No such reasons - but I'd be equally happy with a not-so-nice proof!
Dec
4
asked The divisors of $p-1$ and high-degree residues modulo $p$
Nov
30
revised Sets of coprime numbers
edited body; edited tags
Nov
27
comment Biquadratic reciprocity for $p\equiv 1\pmod 4$ and $q\equiv 3\pmod 4$
@Lucia: I see, thanks!
Nov
26
comment Does this function have any exponential growth?
For $a$ and $x$ given, what is the maximum of $x^n\exp(-a^n/x)/n!$ over all $n$?
Nov
26
comment Does this function have any exponential growth?
Have you optimized by $n$? What is the largest term of this series for $a$ and $x$ given?
Nov
23
comment Biquadratic reciprocity for $p\equiv 1\pmod 4$ and $q\equiv 3\pmod 4$
@Lucia: How about $q=3$, $p=13=3^2+2^2$, $\sigma=1$, in which case $b=2$ and $q\mid b+1$? Also, is it implicitly assumed that $p\equiv 1\pmod 8$ (this condition is mentioned a couple of lines above the equality in question)?
Nov
23
comment Biquadratic reciprocity for $p\equiv 1\pmod 4$ and $q\equiv 3\pmod 4$
@Lucia: I noticed this, but there seems to be a problem with this assertion as if, say, $p\equiv 1\pmod q$, then one can choose both $\sigma=1$ and $\sigma=-1$, while I cannot see any reason for $\left(\frac{b+1}q\right)$ and $\left(\frac{-(b-1)}q\right)$ to be equal to each other. I do not have Lemmermeyer's book handy to check the assertion.
Nov
23
revised Biquadratic reciprocity for $p\equiv 1\pmod 4$ and $q\equiv 3\pmod 4$
added 89 characters in body
Nov
23
asked Biquadratic reciprocity for $p\equiv 1\pmod 4$ and $q\equiv 3\pmod 4$
Nov
11
answered Existence of arithmetic function satisfying a certain property
Nov
11
revised Is ${\rm lcm}\{{\rm ord}_p(q)\colon q\mid p-1,\ q>2\}>\sqrt p\ \,$?
added 70 characters in body; edited title
Nov
10
awarded  Nice Question
Nov
10
asked Is ${\rm lcm}\{{\rm ord}_p(q)\colon q\mid p-1,\ q>2\}>\sqrt p\ \,$?
Nov
9
awarded  Enlightened
Nov
9
awarded  Nice Answer