Kyle Czarnecki

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All published works

Action	Title	Year	Authors
+	Arithmetic functions of higher-order primes	2020	Kyle Czarnecki Andrew Giddings
+	Resonance sums for Rankin-Selberg products	2016	Kyle Czarnecki
+	Resonance sums for Rankin–Selberg products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">SL</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> Maass cusp forms	2016	Kyle Czarnecki
+ PDF Chat	On the orbits of an orthogonal group action	2010	Kyle Czarnecki Roger Howe Aaron McTavish

Common Coauthors

Coauthor	Papers Together
Aaron McTavish	1
Roger Howe	1
Andrew Giddings	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On certain exponential sums related to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> cusp forms	2009	Anne-Maria Ernvall-Hytönen	2
+	Resonances and Ω-results for exponential sums related to Maass forms for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2015	Anne-Maria Ernvall-Hytönen Jesse Jääsaari Esa V. Vesalainen	2
+	Voronoi formulas on GL(n)	2006	Dorian Goldfeld X. Li	2
+	Resonance between automorphic forms and exponential functions	2010	Xiumin Ren Yangbo Ye	2
+	The Voronoi Formula for GL(n, R)	2008	D. Goldfeld X. Li	2
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	2
+ PDF Chat	Rankin-Selberg L-functions in the level aspect	2002	Emmanuel Kowalski Philippe Michel Jeffrey M. VanderKam	2
+	A general Voronoi summation formula for GL(n,Z)	2009	Stephen D. Miller Wilfried Schmid	2
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke	2
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika	2
+	Resonance of automorphic forms for 𝐺𝐿(3)	2014	Xiumin Ren Yangbo Ye	2
+ PDF Chat	Automorphic distributions, L-functions, and Voronoi summation for GL(3)	2006	Stephen D. Miller Wilfried Schmid	2
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak	2
+	Numerical tests of modularity	2005	Andrew R. Booker	2
+ PDF Chat	Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for GL m (ℤ)	2014	Xiumin Ren Yangbo Ye	2
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	1
+	An Introduction to the Langlands Program	2004	Daniel Bump James Cogdell Ehud de Shalit Dennis Gaitsgory Emmanuel Kowalski Stephen S. Kudla	1
+	Lie Groups, Lie Algebras, and Representations	2003	Brian C. Hall	1
+	Number Theory: Arithmetic in Shangri-La	2012		1
+	Algebraic Number Theory	1994	Serge Lang	1
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun	1
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	1
+	Automorphic Forms and L-Functions for the Group Gl(n, R)	2006	Dorian Goldfeld	1
+	Lie Groups, Lie Algebras, and Representations	2013	Brian C. Hall	1
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley	1
+	Representations of Finite and Compact Groups	1995	Barry Simon	1
+	A Basic Course in Algebraic Topology	1991	William S. Massey	1
+	Representations of Compact Lie Groups	1985	Theodor Bröcker Tammo tom Dieck	1
+	ON CUSP FORM COEFFICIENTS IN NONLINEAR EXPONENTIAL SUMS	2009	Qing Sun	1
+	Exponential sums involving Maass forms	2014	Qingfeng Sun Yuanying Wu	1
+	Decomposition of Eisenstein Series: Rankin Triple Products	1987	Paul Garrett	1
+ PDF Chat	On the structure of the Selberg class, I: 0≤d≤1	1999	Jerzy Kaczorowski Alberto Perelli	1
+	Sums of Fourier coefficients of a Maass form for SL3(ℤ) twisted by exponential functions	2011	Xiumin Ren Yangbo Ye	1
+ PDF Chat	On the structure of the Selberg class, VI: non-linear twists	2005	Jerzy Kaczorowski Alberto Perelli	1
+ PDF Chat	Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I: Mémoire dédié à M. Holmgren	1937	Arne Beurling	1
+	ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL<sub>3</sub>(ℤ)	2013	Xiumin Ren Yangbo Ye	1
+	Holomorphy of Rankin tripleL-functions; special values and root numbers for symmetric cubeL-functions	2000	Henry H. Kim Freydoon Shahidi	1
+	Computing the Laplace eigenvalue and level of Maass cusp forms	2016	Paul Savala	1