Paul M. Jenkins

Generating author description...

All published works

Action	Title	Year	Authors
+	Congruences for coefficients of modular functions in levels 3, 5, and 7 with poles at 0	2020	Paul M. Jenkins Ryan Keck
+	Congruences for coefficients of modular functions in levels 3, 5, and 7 with poles at 0.	2020	Paul M. Jenkins Ryan Keck
+ PDF Chat	Differential operators on polar harmonic Maass forms and elliptic duality	2019	Kathrin Bringmann Paul M. Jenkins Ben Kane
+	Divisibility Properties of Coefficients of Modular Functions in Genus Zero Levels.	2019	Victoria Iba Paul M. Jenkins Merrill Warnick
+ PDF Chat	Congruences for coefficients of level 2 modular functions with poles at 0	2018	Paul M. Jenkins Ryan Keck Eric Moss
+ PDF Chat	Zagier duality for level p weakly holomorphic modular forms	2018	Paul M. Jenkins Grant Molnar
+	Congruences for coefficients of level 2 modular functions with poles at 0	2017	Paul M. Jenkins Ryan Keck Eric Moss
+	Differential operators on polar harmonic Maass forms and elliptic duality	2017	Kathrin Bringmann Paul M. Jenkins Ben Kane
+	Divisibility properties of coefficients of modular functions in genus zero levels	2017	Victoria Iba Paul M. Jenkins Merrill Warnick
+ PDF Chat	Zeros of modular forms of half integral weight	2016	Amanda Folsom Paul M. Jenkins
+ PDF Chat	Integral traces of weak Maass forms of genus zero odd prime level	2016	Nathan Green Paul M. Jenkins
+	Zeros of modular forms of half integral weight	2016	Amanda Folsom Paul M. Jenkins
+ PDF Chat	Congruences for coefficients of modular functions	2014	Paul M. Jenkins DJ Thornton
+ PDF Chat	None	2014	Paul M. Jenkins Kyle Pratt
+	Congruences for coefficients of modular functions	2014	Paul M. Jenkins DJ Thornton
+	Interlacing of zeros of weakly holomorphic modular forms	2013	Paul M. Jenkins Kyle Pratt
+	Integral traces of weak Maass forms of genus zero odd prime level	2013	Nathan Green Paul M. Jenkins
+	Zeros of weakly holomorphic modular forms of level 4	2013	A. Glen Haddock Paul M. Jenkins
+ PDF Chat	Zeros of weakly holomorphic modular forms of levels 2 and 3	2013	Sharon Anne Garthwaite Paul M. Jenkins
+	Zeros of weakly holomorphic modular forms of levels 2 and 3	2012	Sharon Anne Garthwaite Paul M. Jenkins
+ PDF Chat	Two-divisibility of the coefficients of certain weakly holomorphic modular forms	2012	Darrin Doud Paul M. Jenkins John D. López
+	Divisibility Properties of Coefficients of Level $p$ Modular Functions for Genus Zero Primes	2011	Nickolas Andersen Paul M. Jenkins
+ PDF Chat	Divisibility criteria for class numbers of imaginary quadratic fields	2006	Paul M. Jenkins Ken Ono
+	TRACES OF SINGULAR MODULI, MODULAR FORMS, AND MAASS FORMS	2006	Paul M. Jenkins
+	Kloosterman sums and traces of singular moduli	2005	Paul M. Jenkins
+	p-ADIC PROPERTIES FOR TRACES OF SINGULAR MODULI	2005	Paul M. Jenkins
+ PDF Chat	Odd perfect numbers have a prime factor exceeding $10^{7}$	2003	Paul M. Jenkins

Common Coauthors

Coauthor	Papers Together
Ryan Keck	4
DJ Thornton	2
Kyle Pratt	2
Sharon Anne Garthwaite	2
Amanda Folsom	2
Merrill Warnick	2
Ben Kane	2
Eric Moss	2
Victoria Iba	2
Kathrin Bringmann	2
Nathan Green	2
John D. López	1
Ken Ono	1
Grant Molnar	1
Nickolas Andersen	1
A. Glen Haddock	1
Darrin Doud	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Zeros and Coefficients of Certain Weakly Holomorphic Modular Forms	2008	William Duke Paul A. Jenkins	9
+	Divisibility Properties of the Fourier Coefficients of the Modular Invariant j(τ)	1949	Joseph Lehner	8
+	DIVISIBILITY PROPERTIES OF COEFFICIENTS OF WEIGHT 0 WEAKLY HOLOMORPHIC MODULAR FORMS	2011	Michael Griffin	8
+	Further Congruence Properties of the Fourier Coefficients of the Modular Invariant j(τ)	1949	Joseph Lehner	8
+	Hilbert class polynomials and traces of singular moduli	2005	Jan Hendrik Bruinier Paul A. Jenkins Ken Ono	6
+ PDF Chat	The theta-operator and the divisors of modular forms on genus zero subgroups	2003	Scott Ahlgren	6
+ PDF Chat	Zeros of weakly holomorphic modular forms of levels 2 and 3	2013	Sharon Anne Garthwaite Paul M. Jenkins	6
+	Modular Functions and Dirichlet Series in Number Theory	1990	Tom M. Apostol	6
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	6
+	Mass equidistribution for Hecke eigenforms	2010	Roman Holowinsky K. Soundararajan	5
+ PDF Chat	Real zeros of holomorphic Hecke cusp forms	2012	Amit Ghosh Peter Sarnak	5
+	On the Zeros of Eisenstein Series	1970	F. K. C. Rankin H. P. F. Swinnerton-Dyer	5
+ PDF Chat	Congruences for the Coefficients of the Modular Invariant $j(\tau)$.	1962	O. Kolberg	5
+	LINEAR CONGRUENCES AND RELATIONS ON SPACES OF CUSP FORMS	2007	Ahmad El‐Guindy	5
+ PDF Chat	Divisibility properties of coefficients of level $p$ modular functions for genus zero primes	2012	Nickolas Andersen Paul Jenkins	5
+	FOURIER EXPANSIONS WITH MODULAR FORM COEFFICIENTS	2009	Ahmad El‐Guindy	5
+	ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS	2010	Alison Beth Miller Aaron Pixton	4
+	Congruences on Some Special Modular Forms	1978	P. Allatt J. B. Slater	4
+ PDF Chat	Integral traces of singular values of weak Maass forms	2008	William Duke Paul A. Jenkins	4
+ PDF Chat	Congruences for coefficients of modular functions	2014	Paul M. Jenkins DJ Thornton	4
+ PDF Chat	ZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVEL 4	2013	A. Glen Haddock Paul A. Jenkins	4
+ PDF Chat	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2009	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades	4
+ PDF Chat	p-Adic Properties of Coefficients of Weakly Holomorphic Modular Forms	2010	Darrin Doud Paul A. Jenkins	4
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	3
+ PDF Chat	Congruences for the Coefficients of the Modular Invariant $j(\tau)$.	1964	Hans-fredrick Aas	3
+	Zeros of certain modular functions and an application	1997	Tetsuya Asai Masanobu Kaneko Ninomiya Hirohito	3
+ PDF Chat	Zeros of some level 2 Eisenstein series	2009	Sharon Anne Garthwaite Линг Лонг Holly Swisher Stephanie Treneer	3
+	Arithmetic properties of coefficients of half-integral weight Maass–Poincaré series	2006	Kathrin Bringmann Ken Ono	3
+ PDF Chat	On zeros of Eisenstein series for genus zero Fuchsian groups	2007	Heekyoung Hahn	3
+	Nombres de classes et formes modulaires de poids 3/2.	1975	Don Zagier	3
+	Fourier coefficients of modular forms of half-integral weight	1985	Winfried Kohnen	3
+	ON THE p-ADIC GEOMETRY OF TRACES OF SINGULAR MODULI	2005	Bas Edixhoven	3
+ PDF Chat	Congruences for the Coefficients of the Modular Invariant $j(\tau)$.	1964	Hans-fredrick Aas	3
+ PDF Chat	$2$-adic properties of Hecke traces of singular moduli	2005	Matthew Boylan	3
+	Traces of CM values of modular functions	2006	Jan Hendrik Bruinier Jens Funke	2
+	The arithmetic of Borcherds' exponents	2003	Jan Hendrik Bruinier Ken Ono	2
+ PDF Chat	The decomposition of the spaces of cusp forms of half-integral weight and trace formula of Hecke operators	1988	Masaru Ueda	2
+	Geometry of Discrete Groups	2006	Alan F. Beardon	2
+	Fourier coefficients of modular forms of half-integral weight	1987	Henryk Iwaniec	2
+ PDF Chat	Arithmetic of singular moduli and class polynomials	2005	Scott Ahlgren Ken Ono	2
+	Harmonic Maass Forms and Mock Modular Forms: Theory and Applications	2017	Kathrin Bringmann Amanda Folsom Ken Ono Larry Rolen	2
+ PDF Chat	Modular functions and the uniform distribution of CM points	2005	William Duke	2
+	Modular Forms and Functions	1977	R. A. Rankin	2
+	Konstruktion der Modulformen und der zu gewissen Grenzkreisgruppen gehörigen automorphen Formen von positiver reeller Dimension und die vollständige Bestimmung ihrer Fourierkoeffizienten	1950	Hans Petersson	2
+	Automorphic forms onO s +2,2(R) and infinite products	1995	Richard E. Borcherds	2
+ PDF Chat	Unearthing the Visions of a Master: Harmonic Maass Forms and Number Theory	2008	Ken Ono	2
+	On spaces of modular forms spanned by eta-quotients	2014	Jeremy Rouse John J. Webb	2
+ PDF Chat	On weak harmonic Maass - modular grids of even integral weights	2009	Pavel Guerzhoy	2
+	Traces of singular moduli	2002	Don Zagier	2
+	�ber automorphe Orthogonalfunktionen und die Konstruktion der automorphen Formen von positiver reeller Dimension	1954	Hans Petersson	2