H. Kaneko, Anthropology of Augustine

faculty of psychology and social sciences group of anthropology master thesis in major of anthropology

چکیده پایان نامه (شامل خلاصه، اهداف، روش های اجرا و نتایج به دست آمده): کار جمع آوری گو یش های محلی در سال های اخیر شتاب امیدوار کننده ای به خود گرفته است. شاید از بارزترین اهداف جمع آوری گویش های مختلف، ثبت و ضبط آن، جلوگیری از نابودی و مهمتر از همه حل مشکلات دستوری زبان رسمی باشد. دقت در فرآیند های زبانی گویش های محلی نوع ارتباط مردم نواحی مختلف با پیرامون نشان را به ما نشان خواهد داد. از س...

On Kaneko Congruences

We present a proof of certain congruences modulo powers of an odd prime for the coefficients of a series produced by repeated application of U -operator to a certain weakly holomorphic modular form. This kind of congruences were first observed by Kaneko as a result of numerical experiments, and later proved in a different (but similar) case by Guerzhoy [6]. It is interesting to note that, in ou...

St. Augustine (354-430)

St. Augustine [5] began his life in Algeria, an apt student devoted early to the Church and seeking the Truth. His professors recognized his great skill at philosophizing and writing. As Augustine devoured writings both ancient and of his contemporaries, he fell away from the Church and toward a religious dualism sect known as the Manicheans. His mother, a very devoted Christian (later St. Moni...

On the Honda - Kaneko Congruences

n>0 (1− q) be Dedekind’s eta-function. For a prime p, denote by U Atkin’s Up-operator. We say that a function φ with a Fourier expansion φ = ∑ u(n)q is congruent to zero modulo a power of a prime p, φ = ∑ u(n)q ≡ 0 mod p if all its Fourier expansion coefficients are divisible by this power of the prime; u(n) ≡ 0 mod p for all n. In this paper we prove the following congruences. Theorem 1. (i) I...

The Philosophy of St. Augustine