اشکال اتومورفیک و موضوعات مرتبط: ایجاد پل‌ها: سومین مدرسه و کارگاه تابستانی اتحادیه اروپا-ایالات متحده درباره اشکال اتومورفیک و موضوعات مرتبط، ۱۱-۲۲ ژوئیه ۲۰۱۶، دانشگاه سارایوو، سارایوو، بوسنی و هرزگوین

"This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11{u2013}22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop. These articles address various aspects of the theory of automorphic forms and its relations with the theory of L -functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to ?build bridges? to mathematical questions in other fields."--Back cover A note on the minimal level of realization for a mod $\ell $ eigenvalue system / Samuele Anni -- A discussion on the number eta-quotients of prime level / Allison Arnold-Roksandich -- Dedekind sums, reciprocity, and non-arithmetic groups / Claire Burrin -- Noncommutative modular symbols and Eisenstein series / Gautam Chinta, Ivan Horozov and Cormac O'Sullivan -- An annotated discussion of a panel presentation on improving diversity in mathematics / Adriana Espinosa -- Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps / Joshua S. Friedman, Jay Jorgenson and Lejla Smajlović -- Computing $p$-adic periods of abelian varieties from automorphic forms / Xavier Guitart and Marc Masdeu -- An algebraic and analytic approach to spinor exceptional behavior in translated lattices / Anna Haensch and Ben Kane -- Differential operators on Jacobi forms and special values of certain Dirichlet series / Abhash Kumar Jha and Brundaban Sahu -- Some results in study of Kronecker limit formula and Dedekind sums / Jay Jorgenson and Lejla Smajlović -- Equidistribution of shears and their arithmetic applications / Dubi Kelmer -- Fake proofs for identities involving products of Eisenstein series / Kamal Khuri-Makdisi -- Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves / Kamal Khuri-Makdisi -- Some remarks on the coefficients of symmetric power $L$-functions / Balesh Kumar, Jaban Meher and Sudhir Pujahari -- On primes in arithmetic progressions / Junxian Li -- The Fourier coefficients of Eisenstein series newforms / Benjamin Linowitz and Lola Thompson -- Properties of Sturm's formula / Kathrin Maurischat -- An application of a special form of a Tauberian theorem / Almasa Odžak and Lamija Šćeta -- On the zeros of some $L$ functions from the extended Selberg class / Almasa Odžak and Lamija Šćeta -- Rational points on twisted modular curves / Ekin Ozman -- On the number of representations of certain quadratic forms in 8 variables / B. Ramakrishnan, Brundaban Sahu and Anup Kumar Singh -- Level of Siegel modular forms constructed via $\operatorname {sym}^3$ lifting / Manami Roy -- Dimension formulas and kernel functions for Hilbert modular forms / Fredrik Strömberg -- An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups / Holger Then -- Torsion groups of elliptic curves over quadratic fields / Antonela Trbović -- Maass space for lifting from SL(2, $\mathbb {R}$) to GL(2, B) over a division quaternion algebra / Siddhesh Wagh -- On the occurrence of large positive Hecke eigenvalues for GL(2) / Nahid Walji -- Representations by quadratic forms and the Eichler Commutation Relation / Lynne H. Walling -- Degenerate principal series and Langlands classification / Shunsuke Yamana