Deuteronomy 18
"Cease straying, my child, from the words of knowledge, in order that you may hear instruction."
Proverbs 19:27 (NRS)
This passage from Deuteronomy (which is discussed in a related essay) is quoted in the New Testament:
Deuteronomy 18:17 And the LORD said unto me, They have well [spoken that] which they have spoken. [18] I will raise them up a Prophet from among their brethren, like unto thee, and will put my words in his mouth; and he shall speak unto them all that I shall command him. [19] And it shall come to pass, [that] whosoever will not hearken unto my words which he shall speak in my name, I will require [it] of him. (KJV)
The New Testament quotes it here:
Acts 3:22 For Moses truly said unto the fathers, A prophet shall the Lord your G-d raise up unto you of your brethren, like unto me; him shall ye hear in all things whatsoever he shall say unto you. [23] And it shall come to pass, [that] every soul, which will not hear that prophet, shall be destroyed from among the people. (KJV)
If this is talking specifically about Jesus, I think we are entitled to ask for proof other than just the New Testament's say-so. Does that excerpt exclusively point to one single prophet? Could Samuel fit into that passage from Deuteronomy? Could Isaiah? Could Ezekiel, Jeremiah, Hosea, Amos, Zechariah, etc? It would be helpful if this passage from the Torah was read in context. G-d had just forbidden the people of Israel from seeking out fortunetellers, dark mystics, etc. Then He comforts us by telling us that we are not without Supernatural guidance, in that G-d will give us prophets. To say that this passage refers to one person (and there's no reason to think that one person is Jesus in particular) would mean that we were not required to follow the numerous prophets mentioned in the Bible after Moses died.
Jeremiah 1:9 Then the LORD put forth his hand, and touched my mouth. And the LORD said unto me, Behold, I have put my words in thy mouth. (KJV)
We could just as easily say that this is exclusively referring to Jeremiah because the book of Jeremiah quotes that passage from Deuteronomy.
If a prophet arrives, claims he was sent by G-d, gives you a sign or wonder, and that sign or wonder comes true, and preaches nothing but adherence to the Torah, then the Jews are required to follow him. However, if that prophet tells you that any part of the Torah is changed, or that you should worship something that you hadn't been worshiping before then that prophet is automatically proven false, even if his signs and wonders came true.
So, in summation, both Christians and Muslims say this passage from Deuteronomy is about the central person in their religions. Christians say it's about Jesus. Muslims say it's about Mohammed. In reality, it's about every true Jewish prophet, spoken of in the singular. If it weren't plural, then it wouldn't warn about false prophets right afterward. It speaks of false prophets in the singular as well. I'm sure Christians don't think that there was only one single false prophet. And at best, that's all Jesus was.