Bava Batra 15A

ועל ידי שלשה בני קרח.

and by the 3 sons of Korah.

ירמיה כתב ספרו וספר מלכים וקינות. חזקיה וסיעתו כתבו (ימשק סימן:) ישעיה, משלי, שיר השירים וקהלת. אנשי כנסת הגדולה כתבו (קנדג סימן:) יחזקאל ושנים עשר, דניאל ומגילת אסתר. עזרא כתב ספרו, ויחס של דברי הימים עד לו.

Jeremiah wrote his own book, and the book of Kings, and Lamentations. Hezekiah and his colleagues wrote the following, and a mnemonic to remember which books they wrote is yod, mem, shin, kuf: Isaiah [Yeshaya], Proverbs [Mishlei], Song of Songs [Shir HaShirim], and Ecclesiastes [Kohelet]. The members of the Great Assembly wrote the following, and a mnemonic to remember these books is kuf, nun, dalet, gimmel: Ezekiel [Yeḥezkel ], and the 12 Prophets [Sheneim Asar], Daniel [Daniel ], and the Scroll of Esther [Megillat Ester]. Ezra wrote his own book and the genealogy of the book of Chronicles until his period.

מסייעא ליה לרב, דאמר רב יהודה אמר רב: לא עלה עזרא מבבל, עד שיחס עצמו ועלה. ומאן אסקיה? נחמיה בן חכליה.

The Talmud comments: This supports Rav, as Rav Yehuda says that Rav says: Ezra did not ascend from Babylonia to Eretz Yisrael until he established his own genealogy, and after that he ascended. This genealogy is what is written in the book of Chronicles. And who completed the book of Chronicles for the generations following Ezra? Nehemiah, son of Hacaliah.

אמר מר: יהושע כתב ספרו ושמונה פסוקים שבתורה. תניא כמאן דאמר: שמונה פסוקים שבתורה יהושע כתבן. דתניא ״וימת שם משה עבד ה׳״⁠ – אפשר משה מת, וכתב: ״וימת שם משה״?! אלא עד כאן כתב משה, מכאן ואילך כתב יהושע; דברי רבי יהודה, ואמרי לה רבי נחמיה.

The Talmud elaborates on the particulars of this baraita: The Master said above that Joshua wrote his own book and 8 verses of the Torah. The Talmud comments: This baraita is taught in accordance with the one who says that it was Joshua who wrote the last 8 verses in the Torah. This point is subject to a tannaitic dispute, as it is taught in another baraita: “And Moses the servant of YHWH died there” (Deuteronomy 34:5); is it possible that after Moses died, he himself wrote “And Moses died there”? Rather, Moses wrote the entire Torah until this point, and Joshua wrote from this point forward; this is the statement of R' Yehuda. And some say that R' Neḥemya stated this opinion.