Description

Book Synopsis
Addresses 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. 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.

Table of Contents
  • S. Anni, A note on the minimal level of realization for a mod $\ell$ eigenvalue system
  • A. Arnold-Roksandich, A discussion on the number eta-quotients of prime level
  • C. Burrin, Dedekind sums, reciprocity, and non-arithmetic groups
  • G. Chinta, I. Horozov, and C. O'Sullivan, Noncommutative modular symbols and Eisenstein series
  • A. Espinosa, An annotated discussion of a panel presentation on improving diversity in mathematics
  • J. S. Friedman, J. Jorgenson, and L. Smajlovic, Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps
  • X. Guitart and M. Masdeu, Computing $p$-adic periods of abelian varieties from automorphic forms
  • A. Haensch and B. Kane, An algebraic and analytic approach to spinor exceptional behavior in translated lattices
  • A. K. Jha and B. Sahu, Differential operators on Jacobi forms and special values of certain Dirichlet series
  • J. Jorgenson and L. Smajlovic, Some results in study of Kronecker limit formula and Dedekind sums
  • D. Kelmer, Equidistribution of shears and their arithmetic applications
  • K. Khuri-Makdisi, Fake proofs for identities involving products of Eisenstein series
  • K. Khuri-Makdisi, Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves
  • B. Kumar, J. Meher, and S. Pujahari, Some remarks on the coefficients of symmetric power $L$-functions
  • J. Li, On primes in arithmetic progressions
  • B. Linowitz and L. Thompson, The Fourier coefficients of Eisenstein series newforms
  • K. Maurischat, Properties of Sturm's formula
  • A. Odzak and L. Sceta, An application of a special form of a Tauberian theorem
  • A. Odzak and L. Sceta, On the zeros of some $L$ functions from the extended Selberg class
  • E. Ozman, Rational points on twisted modular curves
  • B. Ramakrishnan, B. Sahu, and A. K. Singh, On the number of representations of certain quadratic forms in 8 variables
  • M. Roy, Level of Siegel modular forms constructed via $\textrm{sym}^3$ lifting
  • F. Stromberg, Dimension formulas and kernel functions for Hilbert modular forms
  • H. Then, An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups
  • A. Trbovic, Torsion groups of elliptic curves over quadratic fields
  • S. Wagh, Maass space for lifting from SL(2,$\mathbb{R}$) to GL(2,B) over a division quaternion algebra
  • N. Walji, On the occurrence of large positive Hecke eigenvalues for GL(2)
  • L. H. Walling, Representations by quadratic forms and the Eichler Commutation Relation
  • S. Yamana, Degenerate principal series and Langlands classification.

    Automorphic Forms and Related Topics

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      A Paperback / softback by Samuele Anni, Jay Jorgenson, Lejla Smajlovic

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        Publisher: American Mathematical Society
        Publication Date: 30/07/2019
        ISBN13: 9781470435257, 978-1470435257
        ISBN10: 147043525X
        Also in:
        Algebra Algebraic geometry

        Description

        Book Synopsis
        Addresses 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. 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.

        Table of Contents
        • S. Anni, A note on the minimal level of realization for a mod $\ell$ eigenvalue system
        • A. Arnold-Roksandich, A discussion on the number eta-quotients of prime level
        • C. Burrin, Dedekind sums, reciprocity, and non-arithmetic groups
        • G. Chinta, I. Horozov, and C. O'Sullivan, Noncommutative modular symbols and Eisenstein series
        • A. Espinosa, An annotated discussion of a panel presentation on improving diversity in mathematics
        • J. S. Friedman, J. Jorgenson, and L. Smajlovic, Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps
        • X. Guitart and M. Masdeu, Computing $p$-adic periods of abelian varieties from automorphic forms
        • A. Haensch and B. Kane, An algebraic and analytic approach to spinor exceptional behavior in translated lattices
        • A. K. Jha and B. Sahu, Differential operators on Jacobi forms and special values of certain Dirichlet series
        • J. Jorgenson and L. Smajlovic, Some results in study of Kronecker limit formula and Dedekind sums
        • D. Kelmer, Equidistribution of shears and their arithmetic applications
        • K. Khuri-Makdisi, Fake proofs for identities involving products of Eisenstein series
        • K. Khuri-Makdisi, Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves
        • B. Kumar, J. Meher, and S. Pujahari, Some remarks on the coefficients of symmetric power $L$-functions
        • J. Li, On primes in arithmetic progressions
        • B. Linowitz and L. Thompson, The Fourier coefficients of Eisenstein series newforms
        • K. Maurischat, Properties of Sturm's formula
        • A. Odzak and L. Sceta, An application of a special form of a Tauberian theorem
        • A. Odzak and L. Sceta, On the zeros of some $L$ functions from the extended Selberg class
        • E. Ozman, Rational points on twisted modular curves
        • B. Ramakrishnan, B. Sahu, and A. K. Singh, On the number of representations of certain quadratic forms in 8 variables
        • M. Roy, Level of Siegel modular forms constructed via $\textrm{sym}^3$ lifting
        • F. Stromberg, Dimension formulas and kernel functions for Hilbert modular forms
        • H. Then, An explicit evaluation of the Hauptmoduli at elliptic points for certain arithmetic groups
        • A. Trbovic, Torsion groups of elliptic curves over quadratic fields
        • S. Wagh, Maass space for lifting from SL(2,$\mathbb{R}$) to GL(2,B) over a division quaternion algebra
        • N. Walji, On the occurrence of large positive Hecke eigenvalues for GL(2)
        • L. H. Walling, Representations by quadratic forms and the Eichler Commutation Relation
        • S. Yamana, Degenerate principal series and Langlands classification.

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