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By Bernhard Heim, Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Visit Amazon's Florian Rupp Page, search results, Learn about Author Central, Florian Rupp,

ISBN-10: 3319113518

ISBN-13: 9783319113517

ISBN-10: 3319113526

ISBN-13: 9783319113524

This edited quantity offers a suite of rigorously refereed articles protecting the most recent advances in Automorphic types and quantity concept, that have been essentially built from displays given on the 2012 “International convention on Automorphic varieties and quantity Theory,” held in Muscat, Sultanate of Oman. the current quantity comprises unique examine in addition to a few surveys and descriptions of study altogether offering a latest picture at the most recent actions within the box and protecting the themes of:

  • Borcherds products
  • Congruences and Codes
  • Jacobi forms
  • Siegel and Hermitian modular forms
  • Special values of L-series

Recently, the Sultanate of Oman turned a member of the overseas Mathematical Society. In view of this improvement, the convention supplied the platform for clinical trade and collaboration among scientists of other nations from worldwide. specifically, a chance used to be verified for a detailed alternate among scientists and scholars of Germany, Oman, and Japan. The convention was once hosted by means of the Sultan Qaboos college and the German collage of expertise in Oman.

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Böcherer, R. Schulze-Pillot, Siegel modular forms and theta series attached to quaternion algebras. Nagoya Math. J. 121, 35–96 (1991) 8. S. Böcherer, R. Schulze-Pillot, On the central critical value of the triple product L-function, in Number Theory 1993–1994 (Cambridge University Press, Cambridge, 1996), pp. 1–46 9. S. Böcherer, J. Funke, R. Schulze-Pillot, Trace operators and theta series. J. Number Theory 78, 119–139 (1999) 46 S. Böcherer 10. S. Böcherer, H. Katsurada, R. Schulze-Pillot, On the basis problem for Siegel modular forms with level, in Modular Forms on Schiermonnikoog (Cambridge University Press, Cambridge, 2008) 11.

Katsurada, R. Schulze-Pillot, On the basis problem for Siegel modular forms with level, in Modular Forms on Schiermonnikoog (Cambridge University Press, Cambridge, 2008) 11. M. Eichler, The basis problem for modular forms and the traces of the Hecke operators, in Modular Functions of One Variable I. Lecture Notes in Mathematics, vol. 320 (Springer, New York, 1973) 12. E. Freitag, Siegelsche Modulfunktionen. Grundlehren, vol. 254 (Springer, New York, 1983) 13. -I. Hashimoto, On Brandt matrices of Eichler orders.

Already for prime level and weight congruent 2 mod 4 there is a problem because even unimodular lattices do not exist. The purpose of the present paper is to complete the result of Waldspurger and others by a precise description, which cusp forms beyond the newforms are linear combinations of theta series attached to lattices in a given genus. Due to Siegel’s theorem it is reasonable to restrict attention to cusp forms. The answer is simply “ALL” as long as the genus in question is not maximal or adjoint to maximal at any prime divisor of the level N .

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Automorphic Forms: Research in Number Theory from Oman by Bernhard Heim, Mehiddin Al-Baali, Tomoyoshi Ibukiyama, Visit Amazon's Florian Rupp Page, search results, Learn about Author Central, Florian Rupp,


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