where Bn, n ≥ 0, denotes the nth Bernoulli number, and where σν(n) = ∑ d|n d ν . The latter two representations in (1.1) can be established by using the Lipschitz summation formula or Fourier analysis. For these and other basic properties of Eisenstein series, see, for example, R. A. Rankin’s text [41, Chap. 6]. In Ramanujan’s notation, the three most relevant Eisenstein series are defined for ...

Dedicated to my wife, Seonghee Jeong, and my parents iv ACKNOWLEDGEMENTS I wish to thank all people who helped me in many different ways during my graduate school years. First of all, I would like to especially thank Rick Trebino not only for sharing his knowledge and experience since the beginning, but also for his constantly encouraging and motivating me, which could make this thesis possible...

mohammad tâher mirza eskandari est l’un des traducteurs des dernières années du règne de nasser-ed din chah et des premières années de celui de mozaffar-ed din chah. jusqu’avant l’établissement de la constitution en iran la traduction des œuvres d’alexandre dumas était le monopole de mohammad tâher mirza. ses compétences scientifiques et littéraires faisaient que le monarque, son héritier du tr...

During the ?ield trip to Piedmont and Mountainous Daghestan in 2022 authors studied “Delet- Qaburlar” cemetery village of Nizhnii Dzhengutai, which was capital a major local political entity Mekhtulla Khanate had existfrom middle 17 th century 1867. At cemetery, previousl unsearched tombstones last representatives dynasty were found. On these tombstones, names buried, date their death auspiciou...

Abu al-Ma'ani Mirza Abdul Qadir Bidel is one of the greatest mystical poets unity Existence. The use particular terms in a symbolic and way complicates elucidates artistic structure his poetry, limiting making difficult Saud on mountain ridge thought this eloquent mystic. This article seeks to explain what mystery its approach Persian poetry works gnostic mystics, especially Hazrat Abolmaani Bi...

background: non-accidental burns may not be detected unless a complete history of the accident and a detailed physical examination is obtained. self-inflicted burns are a regular source of admission to burn units. case presentation: an 11 year old boy with multiple localized burn injuries was brought to the emergency department of burn hospital by his mother. the lesions were in different symme...

W hile the mathematical side of Dutch graphic artist M. C. Escher (1898– 1972) is often acknowledged, few of his admirers are aware of the mathematical depth of his work. Probably not since the Renaissance has an artist engaged in mathematics to the extent that Escher did, with the sole purpose of understanding mathematical ideas in order to employ them in his art. Escher consulted mathematical...