{"product_id":"non-archimedean-l-functions-and-arithmetical-siegel-modular-forms-9783540407294","title":"Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms","description":"\u003cp\u003e • Author(s): Michel Courtieu\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. \u003c\/p\u003e \u003cp\u003eA new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator.\u003c\/p\u003e \u003cp\u003eThe book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45276132769943,"sku":"9783540407294","price":2544.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540407294.webp?v=1769284809","url":"https:\/\/atlanticbooks.com\/products\/non-archimedean-l-functions-and-arithmetical-siegel-modular-forms-9783540407294","provider":"Atlantic Books","version":"1.0","type":"link"}