Browsing by Author "Kable, Anthony"
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Asymptotics of class number and genus for abelian extensions of an algebraic function field
Ward, Kenneth (2012-05)Among abelian extensions of a congruence function field, an asymptotic relation of class number and genus is established. The proof is completely classical, employing well-known results from congruence function field theory. -
Generalizing the theorem of Nakagawa on binary cubic forms to number fields
Dioses, Jorge (2012-07)The goal of this thesis is to study possible generalizations of a theorem of Nakagawa, first stated as a conjecture by Ohno, that gives a relationship between cubic fields of positive and negative discriminant. This theorem ... -
Investigation into the development of a quantitatively based summation conception of the definite integral
Simmons, Courtney R. (2021-07)Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. ... -
Relationship between differential intertwining operators on the indefinite orthogonal and unitary groups
Hader, Scott (2022-05)In this thesis, we will analyze degenerate principal series representations realized as smooth induced representations for the indefinite orthogonal and unitary groups G=SO_0(2p,2q) and H=U(p,q). We will induce from smooth ... -
Uncrumpled: A scheme for bounding the pinch points on a variety of projected surfaces
Cartisano, Adam (2023-05)Let X be a smooth surface and let phi be a finitely ramified map from X to P^N with N at least 4, which is birational onto its image Y = phi(X), and with Y non-degenerate in P^N. In this paper, we produce a lower bound for ...