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# Quadratic Forms—Algebra, Arithmetic, and Geometry

### About this Title

**Ricardo Baeza**, **Wai Kiu Chan**, **Detlev W. Hoffmann** and **Rainer Schulze-Pillot**, Editors

Publication: Contemporary Mathematics

Publication Year
2009: Volume 493

ISBNs: 978-0-8218-4648-3 (print); 978-0-8218-8172-9 (online)

DOI: http://dx.doi.org/10.1090/conm/493

MathSciNet review: 2541855

### Table of Contents

**Front/Back Matter**

**Articles**

- Roberto Aravire and Bill Jacob – $H^1(X,\nu )$ of conics and Witt kernels in characteristic 2 [MR 2537090]
- Karim Johannes Becher and David B. Leep – Pythagoras numbers and quadratic field extensions [MR 2537091]
- Anne-Marie Bergé and Jacques Martinet – On perfection relations in lattices [MR 2537092]
- Siegfried Böcherer, Yumiko Hironaka and Fumihiro Sato – Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms [MR 2537093]
- M. Dickmann and F. Miraglia – Representation of reduced special groups in algebras of continuous functions [MR 2537094]
- T. D. Browning and R. Dietmann – Solubility of Fermat equations [MR 2537095]
- A. G. Earnest and Robert W. Fitzgerald – Multiplicative properties of integral binary quadratic forms [MR 2537096]
- Lenny Fukshansky – Effective structure theorems for symplectic spaces via height [MR 2537097]
- Skip Garibaldi – Orthogonal involutions on algebras of degree 16 and the Killing form of $E_8$ [MR 2537098]
- Stefan Gille – The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group [MR 2537099]
- Paweł Gładki and Murray Marshall – On families of testing formulae for a pp formula [MR 2537100]
- Tomoyoshi Ibukiyama and Satoshi Wakatsuki – Siegel modular forms of small weight and the Witt operator [MR 2537101]
- Nikita A. Karpenko – On isotropy of quadratic pair [MR 2537102]
- Manfred Knebusch – Specialization of forms in the presence of characteristic 2: first steps [MR 2537103]
- Winfried Kohnen – Representation of integers by special positive definite integral quadratic forms [MR 2537104]
- Ahmed Laghribi and Pasquale Mammone – Hyper-isotropy of bilinear forms in characteristic 2 [MR 2537105]
- David B. Leep – A historical view of the Pythagoras numbers of fields [MR 2537106]
- Michał Machura and Katarzyna Osiak – The extensions of $\Bbb R$-places and application [MR 2537107]
- Alexander S. Merkurjev – Essential dimension [MR 2537108]
- R. Parimala, V. Suresh and J.-P. Tignol – On the Pfister number of quadratic forms [MR 2537109]
- Rudolf Scharlau – Martin Kneser’s work on quadratic forms and algebraic groups [MR 2537110]
- Achill Schürmann – Enumerating perfect forms [MR 2537111]
- Nils-Peter Skoruppa – Reduction mod $l$ of theta series of level $l^n$ [MR 2537112]
- Lynne H. Walling – On a reciprocity theorem of Gauss [MR 2537113]
- Takao Watanabe and Ryusuke Yoshimitsu – A bound of the number of reduced Arakelov divisors of a number field [MR 2537114]