Browsing by Author "Bekele, Berhanu"
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Item Graduate Seminar Report on Regular Rings(Addis Ababa University, 1998-06) Bekele, Berhanu; Gemeda, Dr. DemissuItem A Hecke Correspondence for Automorphic Integrals With in_Nitely Many Poles(Addis Ababa University, 2017-05-17) Ebrahim, Haider; Bekele, BerhanuIn 1936 Hecke proved a correspondence theorem between Dirichlet series with functional equations and automorphic forms with certain growth conditions. In this correspondence, the Dirichlet series has at most simple poles at 0 and k: Since Hecke's original paper, many authors have generalized the correspondence theorem in di_erent directions. Among the generalizations, we shall be interested in is the one by Salomon Bochner in 1951. In Bochner's version, the correspondence is between automorphic integrals with _nite log{polynomial sum and Dirichlet series with a functional equation. The most important feature of this generalization is the presence of the log{polynomial sum. Here a logpolynomial sum is a sum of the form q(z) = Pn l=1 z_l Pm(l) j=0 _(l; j)(log z)j ; the coe_cients, _(l; j) and _l are complex numbers, n; l; m(l); and j are non negative integers. In Bochner's version, the Dirichlet series has a pole of order m(l) + 1 at _l: Austin Daughton in 2012, extended Bochner's result to the Dirichlet series with in_nitely many poles for the theta group and for weight k _ 0: This thesis will extend the Bochner correspondence theorem between automorphic integrals with in_nite log-polynomial period function and of _ weight arbitrary real k on Hecke group which is generated by S_ = : The theta group correspond to _ = 2: We will deal with the cases when _ > 2 and _ = 2 cos _=p; p 2 Z and p _ 3:Item The Portrayal of Women in Folktales and Popular Sayings of the Oromo of East Wollega(Addis Ababa Universiy, 2008-06) Bekele, BerhanuMany scholars have revealed that various elements of folklore have emerged out of the age long human experiences. Folktales and popular sayings belong to the verbal aspects of fo lklore and are believed to reflect a given society's mode of thinking, traditi on, attitudes, ways of life and so on. Research indicates that through the study of such forms of oral li te rature, it is possible to learn the political, cultural and social ideals as well as the economic realities of a given society. The present study is aimed at exploring how women have been portrayed in some folktales and popular sayings of the Oromo of East Wollega. It has been found out that women and the femin ine attributes have been portrayed negati.v ely in most of the tales and sayings widely told in the area. In most tales and sayings, women characters in both genres are depicted as unfaithful, adulterous, cruel, ignorant, foo li sh and the like. However, in very few tales and sayings, women particul arly one's mothers and wives are depicted as lovable, generous, wise and tactful. Most of the folktales and popular sayings in which men and women are characterized seem to have been used for maintaining arid validating patriarchy. Women's role and status in the society seem to have been di mi ni shed to such a very great extent. As the finding indicates, the society seems to have a wrong perception about women. The paper has four chapters. In the firs~ chapter an attempt was made to state and describe the background of the study, statement of the problem, objectives of the study and signi ficances of the study. Besides, areas of the study, methodology and the sociocultural background of the people under focus have been included here. In the second \ ch apter, an attempt has been made to review the works of many schol ars on oral li terature in general and folktales and popular sayings in particul ar. The third chapter deals wi th the analysis of the folktales and popular sayings coll ected from the area under focus . • Finally, an attempt was made to conclude what has been discussed under the preceding chapters. The li st of informants and the tales and sayings selected for analysis has also been appended at the end.