# Man suffers serious injuries after being stabbed during 'large scale disturbance' in Glasgow

Police are treating the attack on the 30-year-old in Maryhill last night as attempted murder.
[07-17] #entirely #scotland Man critical after large scale disturbance in Glasgow
[07-17] Men shot in large scale disturbance at play park #Glasgow
[07-17] Man, 23, dies in hospital after being shot during large-scale disturbance in #Glasgow
[07-17] #Scotland News - Man critical after large scale disturbance in Glasgow
[07-17] Attempted Murder - #Castlemilk, #Glasgow: Officers are investigating large scale disturbance, 6 men were injured.
[07-17] Man critical after large scale disturbance in Glasgow #Glasgow
[07-17] #entirely #scotland Man stabbed after disturbance outside bar in Glasgow
[07-17] #Scotland News - Man stabbed after disturbance outside bar in Glasgow
[07-17] Man stabbed after disturbance outside bar in Glasgow #Glasgow
[08-17] @Glasgow_Live #Glasgow could be a hub for murals and large scale public art. I desperately hope this happens. #art #scotland
[07-17]
[07-17] Man shot dead in Glasgow play park disturbance #glasgow #disturbance
[07-17] Birmingham: Motorist suffers serious injuries in horror crash which saw car flip over on road #birmingham
[08-17] Police are dealing with "large disturbance" in #Lambeth, south #London. Officers have been attacked with items includi…
[08-17] Police are dealing with "large disturbance" in #Lambeth, south #London. Officers have been attacked with items including f…
[08-17] Last night Police dealt with "large disturbance" in #Lambeth, south #London. Officers were attacked with items including f…
[08-17] Last night Police dealt with "large disturbance" in #Lambeth, south #London. Officers were attacked with items including fireworks
[08-17] #Lambeth RT @lbcbreaking Police are dealing with "large disturbance" in #Lambeth, south #London. Officers have been attacked…
[08-17] #Lambeth RT @lbcbreaking Police are dealing with "large disturbance" in #Lambeth, south #London. Officers have been attacked with items
Lucked out with some gorgeous weather in Glasgow. #glasgow #scotland #glasgownecropolis (at Glasgow Necropolis)
Let $p \equiv 3 \pmod{4}$ be prime, and define $$f(p)=\sum_{m=1}^{\frac{p-1}{2}}\sum_{n=1}^{\frac{p-1}{2}}\left(\frac{m+n-\frac{p+1}{4}}{p}\right),$$ where $\left(\frac{a}{p}\right)$ denotes the Legendre symbol (i.e. +1,-1,0, depending on whether $a$ is a quadratic residue/non-residue/zero). The construction of $f(p)$ is admittedly artificial and was essentially done by trial-and-error to create a "large" f(p). What I'm interested in showing (which I'm not even sure is true) is that $$f(p) = \Theta(p \sqrt{p}).$$ Now, I've programmatically computed $f(p)$ for all $p < 50000$, and it is from this that I'm conjecturing $$\frac{p \sqrt{p}}{6} \le f(p) \le \frac{p \sqrt{p}}{4}.$$ In particular, it is the lower bound that I'm actually interested in (though the upper bound might also be interesting in its own way), since I would have expected $f(p)$ to be close to zero. More generally, are there any papers that research something similar to this? The closest things I can find are related to clique numbers of Paley graphs, or the smallest quadratic non-residue, but neither of these seem to relate directly to this question.