ALGEBRAICITY AND TRANSCENDENCY OF BASIC SPECIAL VALUES OF SHINTANI’S DOUBLE SINE FUNCTIONS

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...

Division Values of Multiple Sine Functions

We refine a formula on values of multiple sine functions at division points. As applications we prove a formula on a sum of reciprocal trigonometric values, and obtain multiple modularity of a three variable modular function, which concerns a generalization of the Dedekind η function.

Periods and Special Values of L-functions

Introduction 1 1. Modular forms, congruences and the adjoint L-function 2 2. Quaternion algebras and the Jacquet-Langlands correspondence 6 3. Integral period relations for quaternion algebras over Q 8 4. The theta correspondence 12 5. Arithmetic of the Shimizu lift and Waldspurger’s formula 16 6. Hilbert modular forms, Shimura’s conjecture and a refined version 19 7. Unitary groups and Harris’...

Interpolation of entire functions, product formula for basic sine function

Special Values of Anticyclotomic L-functions

The purpose of the paper is to extend and refine earlier results of the author on nonvanishing of the L-functions associated to modular forms in the anticyclotomic tower of conductor p over an imaginary quadratic field. While the author’s previous work proved that such L-functions are generically nonzero at the center of the critical strip, provided that the sign in the functional equation is +...