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Full-Text Articles in Physical Sciences and Mathematics
Zeros Of Cubic Eisenstein Series, Sahak D. Sandragorsian
Zeros Of Cubic Eisenstein Series, Sahak D. Sandragorsian
Theses and Dissertations - UTB/UTPA
This thesis provides a detailed exposition and extension of the work of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of Eisenstein series for SL(2,Z). Exact values of the zeros in special cases will be given in terms of modular functions. Analogous new results on zeros of cubic Eisenstein series will be presented.
Approximate Analysis Solution Of Burgers-Kdv Equation, Hani Aldirawi
Approximate Analysis Solution Of Burgers-Kdv Equation, Hani Aldirawi
Theses and Dissertations - UTB/UTPA
In this thesis, we study the Two-Dimensional Burgers-Kortewege-de Vries(2D-BKdV) equation by analyzing the equivalent Abel equation, which indicates that under some particular conditions, the 2D-BKdV equation has a unique bounded traveling wave solution. By using the theorem of contractive mapping, a traveling wave solution to the 2D-BKdV equation is expressed explicitly.
Balanced Modular Parameterizations, Esteban J. Melendez
Balanced Modular Parameterizations, Esteban J. Melendez
Theses and Dissertations - UTB/UTPA
In this thesis, we show that Classical representations for certain modular forms have symmetric form. These symmetric formulations are interpreted in terms of more general balanced homogeneous polynomial representations resulting from a permutative action of Hecke congruence subgroups on quotients of theta functions. For prime levels between 5 and 19, sets of permuted theta quotients are constructed that generate the corresponding vector spaces of modular forms of weight one.