327 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of MichiganUS15 papers
- University of Colorado BoulderUS6 papers
- University of KansasUS6 papers
- Carnegie Mellon UniversityUS5 papers
- Brown UniversityUS4 papers
- California Institute of TechnologyUS4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Colby CollegeUS4 papers
- Joint Institute for Laboratory AstrophysicsUS4 papers
- The Ohio State UniversityUS4 papers
- University of Illinois Urbana-ChampaignUS4 papers
- University of Massachusetts AmherstUS4 papers
21 papers · 1 filter
Mod gamma factors and a converse theorem for finite general linear groups
Jacksyn Bakeberg, Mathilde Gerbelli-Gauthier, Heidi Goodson +3
The local converse theorem for Rankin-Selberg gamma factors of proved by Piatetski-Shapiro over no longer holds after reduction modulo $\…
The sum-product problem for integers with few prime factors
Brandon Hanson, Misha Rudnev, Ilya Shkredov +1
It was asked by E. Szemerédi if, for a finite set , one can improve estimates for , under the constraint that all integers involved ha…
The arithmetic Kuznetsov formula on , II: The general case
Jack Buttcane
We obtain the last of the standard Kuznetsov formulas for . In the previous paper, we were able to exploit the relationship between the positive-sign Bessel function…
A Bessel delta-method and exponential sums for GL(2)
Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1
In this paper, we introduce a simple Bessel -method to the theory of exponential sums for . Some results of Jutila on exponential sums are generalized in a less techni…
A finite analogue of the ring of algebraic numbers
Julian Rosen
We construct an analogue of the ring of algebraic numbers, living in a quotient of the product of all finite fields of prime order. We use this ring to deduce some results about li…
The balanced Voronoi formulas for GL(n)
Stephen D. Miller, Fan Zhou
In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalize…
Plancherel distribution of Satake parameters of Maass cusp forms on
Jack Buttcane, Fan Zhou
We prove an equidistribution result for the Satake parameters of Maass cusp forms on with respect to the -adic Plancherel measure by using an application of the Kuznetsov…
Sign Changes of Coefficients and Sums of Coefficients of L-Functions
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
We extend the axiomatization for detecting and quantifying sign changes of Meher and Murty to sequences of complex numbers. We further generalize this result when the sequence is c…
On the distribution of Satake parameters for Siegel modular forms
Andrew Knightly, Charles Li
We prove a harmonically weighted equidistribution result for the -th Satake parameters of the family of automorphic cuspidal representations of of fixe…
Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
Let be a weight holomorphic cusp form of level one, and let denote the sum of the first Fourier coefficients of . In analogy with Dirichlet's divisor proble…
The Second Moment of Sums of Coefficients of Cusp Forms
Thomas A. Hulse, Chan Ieong Kuan, David Lowry-Duda +1
Let and be weight holomorphic cusp forms and let and denote the sums of their first Fourier coefficients. Hafner and Ivic [HI], building on Chandr…
Splitting Behavior of -Polynomials
Jeffrey C. Lagarias, Benjamin L. Weiss
We analyze the probability that, for a fixed finite set of primes S, a random, monic, degree n polynomial f(x) with integer coefficients in a box of side B around 0 satisfies: (i)…
The Whittaker period formula on Metaplectic SL(2)
Yannan Qiu
The Whittaker period formula on metaplectic was previously established only when the base field is totally real. We present a new simple proof that works for all base n…
Averages of twisted L-functions
Julia Jackson, Andrew Knightly
We use a relative trace formula on GL(2) to compute a sum of twisted modular L-functions anywhere in the critical strip, weighted by a Fourier coefficient and a Hecke eigenvalue. W…
The distribution of the irreducibles in an algebraic number field
David M. Bradley, Ali E. Özlük, Rebecca A. Rozario +1
We study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
On a class number formula for real quadratic number fields
David M. Bradley, Ali E. Ozluk, C. Snyder
For an even Dirichlet character psi, we obtain a formula for L(1,psi) in terms of a sum of Dirichlet L-series evaluated at s=2 and s=3 and a rapidly convergent numerical series inv…
Signed q-Analogs of Tornheim's Double Series
Xia Zhou, Tianxin Cai, David M. Bradley
We introduce signed q-analogs of Tornheim's double series, and evaluate them in terms of double q-Euler sums. As a consequence, we provide explicit evaluations of signed and unsign…
Series acceleration formulas for Dirichlet series with periodic coefficients
David M. Bradley
Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan's formula for the values of the Riemann zeta function at…
Experimental determination of Apery-like identities for zeta(2n+2)
David H. Bailey, Jonathan M. Borwein, David M. Bradley
We document the discovery of two generating functions for the Riemann zeta values zeta(2n+2), analogous to earlier work for zeta(2n+1) and zeta(4n+3). This continues work initiated…
Thirty-two Goldbach Variations
Jonathan M. Borwein, David M. Bradley
We give thirty-two diverse proofs of a small mathematical gem--the fundamental Euler sum identity zeta(2,1)=zeta(3) =8zeta(\bar 2,1). We also discuss various generalizations for mu…
A q-analog of Euler's decomposition formula for the double zeta function
David M. Bradley
The double zeta function was first studied by Euler in response to a letter from Goldbach in 1742. One of Euler's results for this function is a decomposition formula, which expres…