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This volume probes the nature of gratitude as a virtue and identifies its moral value in the Christian life in order to enhance pastoral effectiveness in ministering to those gripped by sins of desire. Such impulses are explored in terms of the seven deadly sins, which this inquiry regards as distorted desires for the good God provides. Utilizing a method of mutual critical correlation, this volume brings philosophical and psychological claims about gratitude into conversation with the Christian tradition. On the basis of an ontology of communion in which humans are inextricably situated in giving-and-receiving relationships with God, others, and the world, this inquiry defines gratitude as a social response involving asymmetrical, agapic reciprocity, whereby a recipient freely, joyfully, and fittingly salutes a giver for the gift received in order to establish, maintain, or restore a personal and peaceable relationship. Critiquing especially the reductions of gratitude by Aristotle and Jacques Derrida, this inquiry recommends gratitude as a virtue which, when embodied, practiced, and ritualized especially, though not exclusively, in the Eucharist, has potential to repel the destructive idolatries generated by the seven deadly sins and thus function as a crucial ingredient in human social flourishing. Familiarity with the virtue of gratitude as a vital ingredient in moral flourishing therefore equips pastors for greater ministerial effectiveness.

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity. The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general n-th order case is still an open problem today, going back to the end of Hecke's famous treatise of 1923. The Fourier-Analytic Proof of Quadratic Reciprocity provides number theorists interested in analytic methods applied to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota. This work brings together for the first time in a single volume the three existing formulations of the Fourier-analytic proof of quadratic reciprocity. It shows how Weil's groundbreaking representation-theoretic treatment is in fact equivalent to Hecke's classical approach, then goes a step further, presenting Kubota's algebraic reformulation of the Hecke-Weil proof. Extensive commutative diagrams for comparing the Weil and Kubota architectures are also featured. The author clearly demonstrates the value of the analytic approach, incorporating some of the most powerful tools of modern number theory, including adeles, metaplectric groups, and representations. Finally, he points out that the critical common factor among the three proofs is Poisson summation, whose generalization may ultimately provide the resolution for Hecke's open problem.