1. Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta-functions, notes on the work of Shinichi Mochizuki

   • Ivan Fesenko

   Review Article 08 August 2015 Pages: 405 - 440

2. Multiple mixing for adele groups and rational points

   • Alexander Gorodnik
   • Ramin Takloo-Bighash
   • Yuri Tschinkel

   Research Article 06 August 2015 Pages: 441 - 461

3. Duality of planar and spacial curves: new insight

   • Viktor S. Kulikov
   • Eugenii Shustin

   Research Article 05 August 2015 Pages: 462 - 482

4. Completeness and incompleteness of the Binet–Legendre metric

   • Vladimir S. Matveev
   • Marc Troyanov

   Research Article 02 May 2015 Pages: 483 - 502

   

5. The mixed Yamabe problem for foliations

   • Vladimir Rovenski
   • Leonid Zelenko

   Research Article 25 July 2015 Pages: 503 - 533

   

6. Non-trivial automorphisms of \({{\mathcal {P}}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}\) from variants of small dominating number

   • Saharon Shelah
   • Juris Steprāns

   Research Article 21 July 2015 Pages: 534 - 544

7. On a measure with maximal entropy for a suspension flow over a countable alphabet Markov shift

   • Boris Gurevich

   Research Article 20 June 2015 Pages: 545 - 559

   

8. Averaging operators, Berezin transforms and atomic decomposition on Bergman–Herz spaces

   • Oscar Blasco
   • Salvador Pérez-Esteva

   Research Article 08 July 2015 Pages: 560 - 581

9. Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane

   • Slah Chaabi
   • Stéphane Rigat

   Research Article 14 July 2015 Pages: 582 - 640

   

10. Analytic closure of sets of real hyperbolic polynomials with separated roots

    • Mayya Golitsyna

    Research Article 12 May 2015 Pages: 641 - 653