Titlebook: Automorphic Forms; Research in Number T Bernhard Heim,Mehiddin Al-Baali,Florian Rupp Conference proceedings 2014 Springer International Pub

代替

Additive and Multiplicative Lifting Properties of the Igusa Modular Form,Borcherds that .. is a Borcherds lift (multiplicative lift) and by Maass that it is a Saito–Kurokawa lift (additive lift). In this paper we show that these two properties characterize the Igusa modular form. By Bruinier, Siegel modular forms of genus 2 with Heegner divisor are Borcherds products. He

向前变椭圆

On Explicit Dimension Formulas for Spaces of Siegel Cusp Forms of Degree Two and Their Applicationsize some known results in Sect. 3, we will explain a new result which was obtained in a joint work with Ibukiyama. It is an explicit dimension formula for Siegel paramodular cusp forms of square-free level. We will discuss its application in Sect. 5.

准则

Borcherds Lift on the Paramodular Group of Level 3, to construct Borcherds lifts. The approach used in this paper is based on work of V. Gritsenko and V. Nikulin (compare [8]). In section 3, we will go into more detail on the paramodular group of level 3. We will determine the characters and divisors on this group. Section 4 deals with weakly Jacobi

Femish

,Bessel Periods of Theta Lifts to ,(1, 1) and Central Values of Some ,-Functions of Convolution Typen result is an explicit relation between a Bessel period of some theta lift to the indefinite symplectic group .(1, 1) and the central value of an .-function of convolution type for the lift (cf. Theorem 3.2).

开始发作

破译

On ,-Adic Properties of Siegel Modular Forms,s of our results are also valid for vector-valued modular forms. In our approach to .-adic Siegel modular forms we follow Serre [18] closely; his proofs however do not generalize to the Siegel case or need some modifications.

郊外

Restrictions of Jacobi Forms of Several Variables,special cases . = .. and .. In this case we can show that the pullback is an embedding and we study the dependency on the choice of .. Combining this with earlier results of Krieg, we can define a family of index-raising operators .. → .. for all ., which interpolate the operators . defined by Eichler and Zagier.

无聊的人

On Explicit Dimension Formulas for Spaces of Siegel Cusp Forms of Degree Two and Their Applicationsize some known results in Sect. 3, we will explain a new result which was obtained in a joint work with Ibukiyama. It is an explicit dimension formula for Siegel paramodular cusp forms of square-free level. We will discuss its application in Sect. 5.

hypertension

,Bessel Periods of Theta Lifts to ,(1, 1) and Central Values of Some ,-Functions of Convolution Typen result is an explicit relation between a Bessel period of some theta lift to the indefinite symplectic group .(1, 1) and the central value of an .-function of convolution type for the lift (cf. Theorem 3.2).

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