Andere Kunden interessierten sich auch für
![Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas]( "Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas")
Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas187,99 €![Geometric Aspects of the Trace Formula]( "Geometric Aspects of the Trace Formula")
Geometric Aspects of the Trace Formula125,99 €![An Approach to the Selberg Trace Formula via the Selberg Zeta-Function]( "An Approach to the Selberg Trace Formula via the Selberg Zeta-Function")
An Approach to the Selberg Trace Formula via the Selberg Zeta-Function20,99 €![Geometric Aspects of the Trace Formula]( "Geometric Aspects of the Trace Formula")
Geometric Aspects of the Trace Formula125,99 €![Local Analysis of Selberg's Trace Formula]( "Local Analysis of Selberg's Trace Formula")
Local Analysis of Selberg's Trace Formula20,99 €![Loose Leaf Elementary Statistics with Formula Card]( "Loose Leaf Elementary Statistics with Formula Card")
Loose Leaf Elementary Statistics with Formula Card215,99 €![The Selberg Trace Formula for PSL (2,R)]( "The Selberg Trace Formula for PSL (2,R)")
The Selberg Trace Formula for PSL (2,R)41,99 €
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This is followed by a complete proof of its coherent analogue: the Waldspurger formula, which relates the periods of integrals and the special values of L-series by means of Weil representations. The Gross-Zagier formula is then reformulated in terms of incoherent Weil representations and Kudla's generating series. Using Arakelov theory and the modularity of Kudla's generating series, the proof of the Gross-Zagier formula is reduced to local formulas. The Gross-Zagier Formula on Shimura Curves will be of great use to students wishing to enter this area and to those already working in it.