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Thesis (J.D.)--Columbia University, 1930. / Vita. Published also without thesis note. "Table of cases": p. 335-359.

Thesis (J.D.)--Columbia University, 1930. / Vita. Published also without thesis note. "Table of cases": p. 335-359.

Thesis (Ph. D.)--University of Texas at Austin, 2005. / Supervisor: Fernando Rodriguez-Villegas. Vita. Includes bibliographical references.

Thesis (M.S.)--Brigham Young University. Dept of Mathematics, 2006. / Includes bibliographical references (p. 94-96).

This thesis reports the development by the author of a job order system for a maintenance department in a Burnaby petroleum refinery during the summer of 1952. The requirements of this system are (1) to provide a practical channel of communication for the planning and control of all maintenance department work, (2) to provide an adequate description and estimate of the work requested, (3) to provide information necessary for scheduling requested work, (4) to ensure the proper approval authorities for all expenditures, (5) to provide information necessary for costing all work done, and (6) to measure the overall efficiency of the maintenance department. These requirements have been fulfilled partially by (1) the establishment of approval authority limits, (2) the introduction of job order and job order memo forms, and (3) the employment of a job order clerk. At present, however, expenditures are controlled only by maximum approval authority limits. It is recommended, therefore, that the services of a qualified estimator be sought in order that costs may be controlled more closely by means of accurate job cost estimates. This method of control, in turn, will provide satisfactory measures of the overall efficiency of the maintenance department. / Business, Sauder School of / Graduate

published_or_final_version / Mathematics / Master / Master of Philosophy

published_or_final_version / Industrial and Manufacturing Systems Engineering / Master / Master of Philosophy

In this dissertation, we introduce the notion of Drinfeld modular forms with A-expansions, where instead of the usual Fourier expansion in tⁿ (t being the uniformizer at infinity), parametrized by n ∈ N, we look at expansions in tₐ, parametrized by a ∈ A = F(q)[T]. We construct an infinite family of such eigenforms. Drinfeld modular forms with A-expansions have many desirable properties that allow us to explicitly compute the Hecke action. The applications of our results include: (i) various congruences between Drinfeld eigenforms; (ii) interesting relations between the usual Fourier expansions and A-expansions, and resulting recursive relations for special families of forms with A-expansions; (iii) the computation of the eigensystems of Drinfeld modular forms with A-expansions; (iv) many examples of failure of multiplicity one result, as well as a restrictive multiplicity one result for Drinfeld modular forms with A-expansions; (v) the proof of diagonalizability of the Hecke action in 'non-trivial' cases; (vi) examples of eigenforms that can be represented as non-trivial' products of eigenforms; (vii) an extension of a result of Böckle and Pink concerning the Hecke properties of the space of cuspidal modulo double cuspidal forms for Γ₁(T) to the groups GL₂(F(q)[T]) and Γ₀(T).

No description available.