V. Blomer

发表

Applications of the Kuznetsov formula on GL(3) II: the level aspect

V. Blomer, Jack Buttcane, P. Maga, 2014 .

The density conjecture for principal congruence subgroups

V. Blomer, Edgar Assing, 2022, 2204.08868.

The Weyl bound for triple product L-functions

Paul D. Nelson, S. Jana, V. Blomer, 2021, Duke Mathematical Journal.

Some applications of smooth bilinear forms with Kloosterman sums

E. Kowalski, É. Fouvry, P. Michel, 2016, 1604.07664.

Workshop: Analytic Number Theory Table of Contents

J. Beck, A. Arbor, H. Montgomery, 2014 .

Bounds for eigenforms on arithmetic hyperbolic $3$-manifolds

G. Harcos, V. Blomer, Djordje Mili'cevi'c, 2014, 1401.5154.

N ov 2 02 1 ADDITIVE PROBLEMS WITH ALMOST PRIME SQUARES

V. Blomer, Lin Junxian, Simon L. Rydin, 2021 .

Uniform subconvexity and symmetry breaking reciprocity

Rizwanur Khan, V. Blomer, 2018, Journal of Functional Analysis.

Global decomposition of GL(3) Kloosterman sums and the spectral large sieve

V. Blomer, Jack Buttcane, 2015, Journal für die reine und angewandte Mathematik (Crelles Journal).

Kloosterman sums in residue classes

V. Blomer, Djordje Mili'cevi'c, 2014, 1410.4538.

SUBCONVEXITY FOR SUP-NORMS OF AUTOMORPHIC FORMS ON PGL(n)

V. Blomer, P. Maga, 2014, 1405.6691.

L-functions with n-th order twists

V. Blomer, Leo Goldmakher, B. Louvel, 2011, 1112.1650.

On the central value of symmetric square L-functions

V. Blomer, 2008 .

The Manin-Peyre conjecture for a certain biprojective cubic threefold

V. Blomer, J. Brüdern, P. Salberger, 2016 .

Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations

V. Blomer, J. Brudern, Jorg Brudern, 2014, 1402.1122.

The Density of Rational Points on a Certain Threefold

V. Blomer, J. Brüdern, 2012 .

The Manin-Peyre conjecture for smooth spherical Fano threefolds

V. Blomer, U. Derenthal, J. Brudern, 2022, 2203.14841.

The Manin–Peyre formula for a certain biprojective threefold

V. Blomer, J. Brüdern, P. Salberger, 2017, Mathematische Annalen.

Bounds for Kloosterman sums on GL(n)

V. Blomer, S. H. Man, 2022, 2208.01295.

Twins of powerful numbers

A. Schöbel, V. Blomer, 2013 .

Density theorems for GL(n)

V. Blomer, 2019, 1906.07459.

Iterates of Vinogradov's quadric and prime paucity

V. Blomer, J. Brüdern, 2010 .

Correlations of Values of Random Diagonal Forms

Junxian Li, V. Blomer, 2022, International Mathematics Research Notices.

Period Integrals and Rankin–Selberg L-functions on GL(n)

V. Blomer, 2012, Geometric and Functional Analysis.

Contributions in Analytic and Algebraic Number Theory

P. Mihăilescu, V. Blomer, 2012 .

Uniform Titchmarsh divisor problems

Edgar Assing, Junxian Li, Valentin Blomer, 2020, Advances in Mathematics.

The Relative Trace Formula in Analytic Number Theory

V. Blomer, 2019, Simons Symposia.

The Manin-Peyre conjecture for smooth spherical Fano varieties of semisimple rank one

V. Blomer, U. Derenthal, J. Brudern, 2020, 2004.09357.

Subconvexity for $L$-functions of non-spherical cusp forms on ${\rm GL}(3)$

V. Blomer, Jack Buttcane, 2018, Acta Arithmetica.

On the subconvexity problem for L-functions on GL(3)

V. Blomer, Jack Buttcane, 2015, Annales scientifiques de l'École normale supérieure.

Twisted moments of L-functions and spectral reciprocity

Rizwanur Khan, V. Blomer, 2017, Duke Mathematical Journal.

A spectral reciprocity formula and non-vanishing for L-functions on GL(4)×GL(2)

S. Miller, V. Blomer, Xiaoqing Li, 2017, Journal of Number Theory.

Spectral summation formulae for GSp(4) and moments of spinor $L$-functions

V. Blomer, 2016, Journal of the European Mathematical Society.

The Manin–Peyre formula for a certain biprojective threefold

V. Blomer, J. Brüdern, P. Salberger, 2016, 1609.02837.

Higher order divisor problems

V. Blomer, 2016, 1609.06588.

Applications of the Kuznetsov formula on GL(3)

V. Blomer, 2012, Inventiones mathematicae.

Twisted L-Functions Over Number Fields and Hilbert’s Eleventh Problem

G. Harcos, V. Blomer, 2009, 0904.2429.

Subconvexity for twisted L-functions on GL(3)

V. Blomer, 2012 .

On a certain senary cubic form

V. Blomer, J. Brüdern, P. Salberger, 2012, 1205.0190.

A hybrid asymptotic formula for the second moment of Rankin–Selberg L‐functions

G. Harcos, V. Blomer, 2010, 1011.1961.

Bounding sup-norms of cusp forms of large level

V. Blomer, R. Holowinsky, 2008, 0808.1525.

Sums of Hecke eigenvalues over quadratic polynomials

V. Blomer, 2008, 0803.4301.

Bounds for modular $L$-functions in the level aspect

G. Harcos, P. Michel, V. Blomer, 2007 .

On the Ramanujan conjecture over number fields

V. Blomer, Farrell Brumley, 2010, 1003.0559.

A Sato–Tate law for GL (3)

N. Raulf, V. Blomer, Jack Buttcane, 2014 .

RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD

V. Blomer, J. Brudern, 2017, 1701.07278.

The role of the Ramanujan conjecture in analytic number theory

V. Blomer, Farrell Brumley, 2013 .

On the 4-norm of an automorphic form

V. Blomer, 2011, 1110.4717.

Course Comparison of relative trace formulas and factorization of automorphic period

V. Blomer, Spencer Leslie, 2022 .

Simultaneous equidistribution of toric periods and fractional moments of $L$-functions

V. Blomer, Farrell Brumley, 2020, Journal of the European Mathematical Society.

Sup-norms of Eigenfunctions on Arithmetic Ellipsoids

P. Michel, V. Blomer, 2011 .

The sup-norm problem for GL(2) over number fields

G. Harcos, V. Blomer, P. Maga, 2016, Journal of the European Mathematical Society.

Nonvanishing of L-functions, the Ramanujan Conjecture, and Families of Hecke Characters

V. Blomer, Farrell Brumley, 2011, Canadian Journal of Mathematics.

The second moment theory of families of L-functions

E. Kowalski, W. Sawin, P. Michel, 2018, 1804.01450.

Distribution of mass of holomorphic cusp forms

Rizwanur Khan, M. Young, V. Blomer, 2012, 1203.2573.

Mass distribution of holomorphic cusp forms

Rizwanur Khan, M. Young, V. Blomer, 2012 .

On the Rank of Universal Quadratic Forms over Real Quadratic Fields

V. Blomer, Vítězslav Kala, 2018, Documenta Mathematica.

Number fields without n-ary universal quadratic forms

V. Blomer, Vítězslav Kala, 2015, Mathematical Proceedings of the Cambridge Philosophical Society.

2. On the Rank of Universal Quadratic Forms over Real Quadratic Fields

V. Blomer, V. Kala, 2017, 1705.03671.

Period Integrals and Rankin–Selberg L-functions on GL(n)

V. Blomer, 2011, 1106.2296.

Addendum: Hybrid bounds for twisted L-functions

G. Harcos, V. Blomer, 2014 .

Ternary quadratic forms, and sums of three squares with restricted variables

V. Blomer, 2008 .

A Burgess-like subconvex bound for twisted L-functions

G. Harcos, P. Michel, V. Blomer, 2007 .

Hybrid bounds for twisted L-functions

G. Harcos, V. Blomer, 2008 .

Uniform bounds for Fourier coefficients of theta-series with arithmetic applications

V. Blomer, 2004 .

The spectral decomposition of shifted convolution sums

G. Harcos, V. Blomer, 2007, math/0703246.

Shifted convolution sums and subconvexity bounds for automorphic L-functions

V. Blomer, 2004 .

Non-vanishing of class group $L$-functions at the central point

V. Blomer, 2004 .

Hybrid bounds for automorphic forms on ellipsoids over number fields

P. Michel, V. Blomer, 2011, Journal of the Institute of Mathematics of Jussieu.

On moments of twisted L-functions

E. Kowalski, É. Fouvry, P. Michel, 2014, 1411.4467.

Estimates for representation numbers of quadratic forms

A. Granville, V. Blomer, 2006 .

The number of integer points on Vinogradov’s quadric

V. Blomer, J. Brüdern, 2010 .

Binary Quadratic Forms with Large Discriminants and Sums of Two Squareful Numbers II

V. Blomer, 2005 .

Binary quadratic forms with large discriminants and sums of two squareful numbers

V. Blomer, 2004 .

Sums of smooth squares

V. Blomer, R. Dietmann, J. Brüdern, 2009, Compositio Mathematica.

The density conjecture for principal congruence subgroups

V. Blomer, Edgar Assing, 2022, 2204.08868.

Analytic Properties of Spherical Cusp Forms on GL(n)

G. Harcos, V. Blomer, P. Maga, 2017, Journal d'Analyse Mathématique.

On the global sup-norm of GL(3) cusp forms

G. Harcos, V. Blomer, P. Maga, 2017, Israel Journal of Mathematics.

EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE

V. Blomer, 2016, Journal of the Institute of Mathematics of Jussieu.

Subconvexity for sup-norms of cusp forms on PGL(n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{PGL}(n)$$\en

V. Blomer, P. Maga, 2016, Selecta Mathematica.

The Weyl bound for triple product L-functions

Paul D. Nelson, S. Jana, V. Blomer, 2021, Duke Mathematical Journal.

A symplectic restriction problem

Andrew Corbett, Valentin Blomer, V. Blomer, 2019, Mathematische Annalen.

Small gaps in the spectrum of the rectangular billiard

J. Bourgain, Z. Rudnick, Maksym Radziwill, 2016, 1604.02413.

The unipotent mixing conjecture

P. Michel, V. Blomer, 2023, Journal d'Analyse Mathématique.

The mixing conjecture under GRH

V. Blomer, Ilya Khayutin, Farrell Brumley, 2022, 2212.06280.

Rankin-Selberg L-functions on the critical line

V. Blomer, 2005 .