MODULAR FORMS AND DIRICHLET SERIESdoi:10.1112/blms/3.1.107bJoseph LehnerOxford University PressBulletin of the London Mathematical Society
Elementary Dirichlet Series and Modular Forms的内容简介 A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with...
M. "Modular Forms with Multiplicative Coefficients." Ch. 6 in Modular Functions and Dirichlet Series in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 113-141, 1997.Hecke, E. "Über Modulfunktionen und die Dirichlet Reihen mit Eulerscher Produktentwicklungen. I." Math. Ann. 114...
Hecke's Dirichlet series obtained from modular forms can be regarded as zeta-functions attached to the general linear group GL ( 2 , Q ) over the rational number field Q . In general, we may expect to obtain zeta-functions of this kind f... E Hecke,H Serbin - Edward 被引量: 34发...
) Erich Hecke’s 1938 Institute for Advanced Studylecture notes, which really do amount to the start of a revolution: he plays modular forms and Dirichlet series off against each otherviathe use of the Mellin and inverse Mellin transform. In so doing he builds (the start) of a dictionary ...
We prove two results on mod p properties of Siegel modular forms. First, we use theta series in order to construct of a Siegel modular form of weight p?1 w... S B?Cherer,S Nagaoka - 《Mathematische Annalen》 被引量: 87发表: 2007年 Non-Archimedean L-Functions of Siegel and Hilbert ...
摘要: In this report, I have discussed the basics of Modular forms, and then there is detail regarding Quadratic forms and their corresponding theta series. Also some of my work relating the study of Universal Quadratic forms has also been mentioned....
Lectures on Dirichlet series, modular functions, and quadratic forms Erich Hecke ; edited by Bruno Schoeneberg, in collaboration with Wilhelm Maak Vandenho... E Hecke,EBB Schoeneber - Vandenhoeck & Ruprecht i 被引量: 46发表: 1983年 Survey of Modular Functions of One Variable Also included is...
Integration of modular forms with theta seriesDirichlet series, having holomorphic analytic continuation to the whole complex plane and satisfying a functional equation of standard type, are obtained by considering Rankin type integrals of products of elliptic modular forms for the group SL 2 () by ...
We describe a database consisting of prime level weight 2 newforms with (i) level less than 1 million; or (ii) level less than 2 million and rationality eld of degree d ≤ 6 . We use this to study the distribution of degrees and rationality elds of weight 2 newforms. In particular...