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 11-22, 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.
| Preface |
|
vii | |
|
A note on the minimal level of realization for a mod eigenvalue system |
|
|
1 | (14) |
|
|
|
A discussion on the number eta-quotients of prime level |
|
|
15 | (4) |
|
Allison Arnold-Roksandich |
|
|
Dedekind sums, reciprocity, and non-arithmetic groups |
|
|
19 | (8) |
|
|
|
Noncommutative modular symbols and Eisenstein series |
|
|
27 | (20) |
|
|
|
|
|
|
|
An annotated discussion of a panel presentation on improving diversity in mathematics |
|
|
47 | (10) |
|
|
|
Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps |
|
|
57 | (18) |
|
|
|
|
|
|
|
Computing p-adic periods of abelian varieties from automorphic forms |
|
|
75 | (10) |
|
|
|
|
|
An algebraic and analytic approach to spinor exceptional behavior in translated lattices |
|
|
85 | (6) |
|
|
|
|
|
Differential operators on Jacobi forms and special values of certain Dirichlet series |
|
|
91 | (10) |
|
|
|
|
|
Some results in study of Kronecker limit formula and Dedekind sums |
|
|
101 | (24) |
|
|
|
|
|
Equidistribution of shears and their arithmetic applications |
|
|
125 | (8) |
|
|
|
Fake proofs for identities involving products of Eisenstein series |
|
|
133 | (6) |
|
|
|
Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves |
|
|
139 | (16) |
|
|
|
Some remarks on the coefficients of symmetric power L-functions |
|
|
155 | (10) |
|
|
|
|
|
|
|
On primes in arithmetic progressions |
|
|
165 | (4) |
|
|
|
The Fourier coefficients of Eisenstein series newforms |
|
|
169 | (8) |
|
|
|
|
|
Properties of Sturm's formula |
|
|
177 | (10) |
|
|
|
An application of a special form of a Tauberian theorem |
|
|
187 | (8) |
|
|
|
|
|
On the zeros of some L functions from the extended Selberg class |
|
|
195 | (12) |
|
|
|
|
|
Rational points on twisted modular curves |
|
|
207 | (8) |
|
|
|
On the number of representations of certain quadratic forms in 8 variables |
|
|
215 | (10) |
|
|
|
|
|
|
|
Level of Siegel modular forms constructed via sym3 lifting |
|
|
225 | (4) |
|
|
|
Dimension formulas and kernel functions for Hilbert modular forms |
|
|
229 | (16) |
|
|
|
An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups |
|
|
245 | (8) |
|
|
|
Torsion groups of elliptic curves over quadratic fields |
|
|
253 | (4) |
|
|
|
Maass space for lifting from SL(2,E) to GL(2,B) over a division quaternion algebra |
|
|
257 | (2) |
|
|
|
On the occurrence of large positive Hecke eigenvalues for GL(2) |
|
|
259 | (8) |
|
|
|
Representations by quadratic forms and the Eichler Commutation Relation |
|
|
267 | (8) |
|
|
|
Degenerate principal series and Langlands classification |
|
|
275 | |
|
|
Samuele Anni, University of Luxembourg, Esch-sur-Alzette, Luxembourg.
Jay Jorgenson, City College of New York, NY.
Lejla Smajlovic, University of Sarajevo, Bosnia and Herzegovina.
Lynne Walling, University of Bristol, United Kingdom.
Lisainfo e-raamatute kohta