Geometry, Algebra, Number Theory, and Their Information Technology Applications : Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Amir Akbary, Sanoli Gun

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Akbary, Amir.
• Gun, Sanoli.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 251

ISBN:

9783319973791 [3319973797]    

注記:

Overview of the work of Kumar Murty (A. Akbary, S. Gun, M. Ram Murty) -- On the average value of a function of the residual index (A. Akbary, A. T. Felix) -- Applications of the square sieve to a conjecture of Lang and Trotter for a pair of elliptic curves over the rationals (S. Baier, V. M. Patankar) -- $R$-group and multiplicity in restriction for unitary principal series of $GSpin$ and $Spin$ (D. Ban, K. Choiy, D. Goldberg) -- The $2$-Class Tower of $¥mathbb{Q}(¥sqrt{-5460})$ (N. Boston, J. Wang) -- On the bad reduction of certain $U(2,1)$ Shimura varieties (E. de Shalit, E. Goren) -- Density modulo 1 of a sequence associated to a multiplicative function evaluated at polynomial arguments (J.-M. Deshouillers, M. Nasiri-Zare) -- Uniqueness Results for a class of $L$-functions (A. Dixit) -- Quadratic periods of meromorphic forms on punctured Riemann surfaces (P. Eskandari) -- On the local coefficients matrix for coverings of $¥SL_2$ (F. Gao, F. Shahidi, D. Szpruch) -- Eisenstein series of weight one, $q$-aver
This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

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