This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto- morphic ...
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This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto- morphic forms of integral dimensions belonging to SL(2, Z). The theory is developed first via the Riemann mapping theorem and then again with the help of Eisenstein series. An investigation of the subgroups of SL(2, Z) and the introduction of automorphic functions and forms belonging to these groups folIows. Special attention is given to the subgroups of finite index in SL (2, Z) and, among these, to the so-called congruence groups. The decisive role in this setting is assumed by the Riemann-Roch theorem. Since its proof may be found in the literature, only the pertinent basic concepts are outlined. For the extension of the theory, special fields of modular functions- in particular the transformation fields of order n-are studied. Eisen- stein series of higher level are introduced which, in case of the dimension - 2, allow the construction of integrals of the 3 rd kind. The properties of these integrals are discussed at length.
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Add this copy of Elliptic Modular Functions: an Introduction to cart. $50.00, very good condition, Sold by Grey Matter Books rated 4.0 out of 5 stars, ships from Hadley, MA, UNITED STATES, published 1974 by Springer-Verlag.
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Seller's Description:
Very Good in Very Good jacket. Text is unmarked; pages are bright. Previous owner's signature in pen on the first free end page. Binding is sturdy. Dust jacket shows some wear around the edges, mostly along the top edge, and the dust jacket spine is a little faded.
Add this copy of Elliptic Modular Functions: an Introduction to cart. $77.86, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1974 by Springer-Verlag.
Add this copy of Elliptic Modular Functions: an Introduction: 203 to cart. $96.41, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1974 by Springer-Verlag Berlin and Hei.
Add this copy of Elliptic Modular Functions: an Introduction to cart. $111.46, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1974 by Springer.
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Very Good in Very Good jacket. Size: 8vo-over 7¾-9¾" tall; Type: Book N.B. Previous owners signature to inside front cover. D/J a little marked with small closed tear to bottom front edge.
