Nijay K. Gupta has published a helpful bibliography on the use of the Old Testament in the New Testament. I copy below the portion of his bibliography on Paul’s use of the Old Testament. You can find the complete bibliography and additional resources on his website by CLICKING HERE.

Paul’s Use of the Old Testament in the New Testament (Background, Hermeneutics, etc…)

Aageson, J.W. Written Also for Our Sake: Paul and the Art of Biblical Interpretation. Louisville: JK, 1993.

Ellis, E.E. Paul’s Use of the Old Testament. Grand Rapids: Baker, 1981 [original printing 1957].

Evans, C.A. and J.A. Sanders, Paul and the Scriptures of Israel. Sheffield: JSOT, 1994.

Hanson, A.T. Studies on Paul’s Technique and Theology. Grand Rapids: Eerdmans, 1974.

Hays, R.B. Echoes of Scripture in the Letters of Paul. New Haven: Yale UP, 1989.

_______. Conversion of the Imagination. Grand Rapids: Eerdmans, 2005.

Koch, D.A. Die Schrift als Zeuge des Evangeloums: Untersuchungen zur Verwendung und zum Verstandnis der Schrift bei Paulus. Tuebingen: Mohr Siebeck, 1986.

Silva, M. ‘Old Testament in Paul’. In Dictionary of Paul and His Letters. Edited by G.F. Hawthorne, R.P. Martin and D.G. Reid, 630-42. Downer’s Grove, Ill.: IVP, 1993.

Stanley, C.D. Paul and the Language of Scripture: Citation Technique in the Pauline Epistles and Contemporary Literature. Cambridge: UP, 1993.

Watson, F. Paul and the Hermeneutics of Faith. London: T & T Clark, 2004.