{"product_id":"9780387787527","title":"Introduction to Siegel Modular Forms and Dirichlet Series","description":"\u003cp\u003eThis is intended for a graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The author’s aim is to present a concise and self-contained introduction to an important and developing area of number theory that will serve to attract young researchers to this beautiful field.\u003c\/p\u003e\u003cp\u003eTopics include:\u003c\/p\u003e\u003cp\u003e* analytical properties of radial Dirichlet series attached to modular forms of genuses 1 and 2;\u003c\/p\u003e\u003cp\u003e* the abstract theory of Hecke–Shimura rings for symplectic and related groups;\u003c\/p\u003e\u003cp\u003e* action of Hecke operators on Siegel modular forms;\u003c\/p\u003e\u003cp\u003e* applications of Hecke operators to a study of multiplicative properties of Fourier coefficients of modular forms;\u003c\/p\u003e\u003cp\u003e* Hecke zeta functions of modular forms in one variable and to spinor (or Andrianov) zeta functions of Siegel modular forms of genus two;\u003c\/p\u003e\u003cp\u003e* the proof of analytical continuation and functional equation (under certain assumptions) for Euler products associated with modular forms of genus two.\u003c\/p\u003e\u003cp\u003eThis text contains a number of exercises and the only prerequisites are standard courses in Algebra and Calculus (one and several variables).\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47050021601520,"sku":"9780387787527","price":59.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780387787527_p0.jpg?v=1763695766","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780387787527","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}