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Eisenstein Series GOAL: We will discuss a standard construc- tion of automorphic representations: the the- ory of Eisenstein series. Let P = M · N be a parabolic subgroup…
RAMANUJAN’S EISENSTEIN SERIES AND POWERS OF DEDEKIND’S ETA-FUNCTION HENG HUAT CHAN, SHAUN COOPER AND PEE CHOON TOH Abstract. In this article, we use the theory of elliptic…
Zeros of Eisenstein Series Stephanie Treneer Western Washington University May 8, 2010 Joint work with Sharon Garthwaite, Ling Long and Holly Swisher Originated at the Women…
On the Zeroes of Half Integral Weight Eisenstein Series of Γ04 Samantha Moore July 18, 2016 Samantha Moore UNCO Zeroes of Eisenstein Series July 18, 2016 1 21 Background…
The p-adic L-functions of an evil Eisenstein Series Joint work with Samit Dasgupta Luminy June 2011 Joël Belläıche June 27 2011 Refinement of a modular form why Let…
QUANTUM ERGODICITY OF EISENSTEIN FUNCTIONS AT COMPLEX ENERGIES SEMYON DYATLOV Abstract We consider a surface M with constant curvature cusp ends and its Eisenstein functions…
ON A SECANT DIRICHLET SERIES AND EICHLER INTEGRALS OF EISENSTEIN SERIES BRUCE C. BERNDT AND ARMIN STRAUB Abstract. We consider, for even s, the secant Dirichlet series ψsτ…
Annals of Mathematics, 166 (2007), 293–316 Weyl group multiple Dirichlet series III: Eisenstein series and twisted unstable Ar By B. Brubaker, D. Bump, S. Friedberg, and…
Eisenstein congruences in arithmetic and geometry Romyar Sharifi University of Arizona October 22 2015 1 22 The Riemann zeta function Definition The Riemann zeta function…
Pseudo–Eisenstein forms and cohomology of arithmetic groups II Jürgen Rohlfs Katholische Universität Eichstätt-Ingolstadt Ostenstr 26 – 28 85072 EichstättGermany…
QUANTUM ERGODICITY OF EISENSTEIN FUNCTIONS AT COMPLEX ENERGIES SEMYON DYATLOV Abstract. We consider a surface M with constant curvature cusp ends and its Eisenstein functions…
On the Eisenstein ideal for imaginary quadratic fields Tobias Berger Abstract For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein…
Journal de Théorie des Nombres de Bordeaux 17 2005 801–823 On coefficient valuations of Eisenstein polynomials par Matthias KÜNZER et Eduard WIRSING Résumé Soit…
A crash course Day 2: Modular Forms Sharon Anne Garthwaite Bucknell University March 2008 Recall ∑ pnqn = ∏ 1− qn−1 ∑ pnq24n−1 = q ∏ 1− q24n −1 = η−124z…
THE EISENSTEIN IDEAL WITH SQUAREFREE LEVEL PRESTON WAKE AND CARL WANG-ERICKSON Abstract. We use pseudodeformation theory to study the analogue of Mazur’s Eisenstein ideal…
THE RANK OF MAZUR’S EISENSTEIN IDEAL PRESTON WAKE AND CARL WANG-ERICKSON Abstract. We use pseudodeformation theory to study Mazur’s Eisenstein ideal. Given prime numbers…
Eisenstein series - take II higher rank http:wwwmathhujiacil∼erezla June 19 2006 Let G be a split reductive group over Q GA1 = ∩χ∈X∗G ker χ where X∗G is the lattice…
A STANDARD ZERO FREE REGION FOR RANKIN SELBERG L-FUNCTIONS Dorian Goldfeld, Xiaoqing Li Abstract. A standard zero free region is obtained for Rankin Selberg L-functions Ls,…
Algebra Number Theory msp Volume 7 2013 No. 1 Period functions and cotangent sums Sandro Bettin and Brian Conrey msp ALGEBRA AND NUMBER THEORY 7:1 2013 dx.doi.org10.2140ant.2013.7.215…
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