I have sent you the email vs I have sent you an email

Some examples from the web:

• Sir, I have sent no emails.
• Because the man who sent you the email was killed two hours ago.
• Trouble is, if you say you're the only one who ever used that means you must have sent the emails for him.
• Yes, this is the email I sent you about Edgar Miller and the casein and...
• Anyway, I have sent an email telling everyone that we have class today and I would like you to attend.
• Diddles' time of death was pegged right after he sent the email.
• She sent the email three minutes ago.
• I was mad when I sent the email.
• The colonel that Odelle Ballard sent the email to.
• Or was when she sent the email.
• I have sent you all an email - initially in German, but the English and French versions will follow - in which I make a statement in this regard, and I will also duly reject the accusation.
• I have the directions in the email you sent.
• - Anna, you're the only one who could have sent the email.
• Look, when I sent you those emails...
• - I sent you an email.
• You claimed to have sent emails, asking for help, asking for a reduction in your caseload.
• Uncle Jack, I haven't heard from you since you sent that email from Prince Albert's boat in the Maldives.
• Which leads us back to the email Gale sent Jason Tedrow.
• It seems the emails are sent from cyber cafés.
• I kept going over the email I sent to Sally, announcing my surprise visit.

Some examples from the web:

• I have sent you all an email - initially in German, but the English and French versions will follow - in which I make a statement in this regard, and I will also duly reject the accusation.
• Anyway, I have sent an email telling everyone that we have class today and I would like you to attend.
• - I sent you an email.
• Sir, I have sent no emails.
• Jay Carney or someone's office would have sent us an email saying reportable.
• Looks like Phoenix sent you an email.
• You should know I sent you an email.
• I sent you an email, Dr. Rosen.
• He sent an email to everyone in his address book.
• You sent an email last night.
• Admissions sent an email confirmation, and it's just orientation.
• Mr. Possibilities just sent an email, ten minutes ago.
• Bailey sent an email, all right.
• I haven't told anyone yet, but he sent me an email saying he has cold feet and wants to take some more time before meeting me.
• You sent an email to the heads of household requesting to be put in charge of this Sanctuary.
• Like a good, dedicated employee, she sent an email to C.E.O. James Hemmings.
• I've sent an email already to quite a few of you.
• Another journalist had sent an email with a link to the website of the Swedish newspaper Expressen.
• Sergeant Odelle Ballard sent an email to an officer at Africom 14 hours after she was reported dead by the U.S. military.
• - For instance, there was the time you sent an email - to 138,000 people.