Michael Dewar

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All published works

Action	Title	Year	Authors
+	Modular Forms of Level One	2016	M. Ram Murty Michael Dewar Hester Graves
+	Jacobi’s q-series	2016	M. Ram Murty Michael Dewar Hester Graves
+	Modular Forms of Higher Level	2016	M. Ram Murty Michael Dewar Hester Graves
+	The Modular Group	2016	M. Ram Murty Michael Dewar Hester Graves
+	The Upper Half-Plane	2016	M. Ram Murty Michael Dewar Hester Graves
+	Hecke Operators of Higher Level	2016	M. Ram Murty Michael Dewar Hester Graves
+	Dirichlet Series and Modular Forms	2016	M. Ram Murty Michael Dewar Hester Graves
+	The Petersson Inner Product	2016	M. Ram Murty Michael Dewar Hester Graves
+	The Modular Group	2016	M. Ram Murty Michael Dewar Hester Graves
+	Problems in the Theory of Modular Forms	2016	M. Ram Murty Michael Dewar Hester Graves
+	A derivation of the Hardy-Ramanujan formula from an arithmetic formula	2012	Michael Dewar M. Ram Murty
+	AN ASYMPTOTIC FORMULA FOR THE COEFFICIENTS OF j(z)	2012	Michael Dewar M. Ram Murty
+	The image and kernel of Atkin’s 𝑈_{𝑝} operator modulo 𝑝	2011	Michael Dewar
+ PDF Chat	Non-Existence of Ramanujan Congruences in Modular Forms of Level Four	2011	Michael Dewar
+ PDF Chat	RAMANUJAN CONGRUENCES FOR SIEGEL MODULAR FORMS	2010	Michael Dewar Olav K. Richter
+	Congruences in modular, Jacobi, Siegel, and mock modular forms with applications	2010	Michael Dewar
+ PDF Chat	On the non-existence of simple congruences for quotients of Eisenstein series	2010	Michael Dewar
+	The nonholomorphic parts of certain weak Maass forms	2009	Michael Dewar
+	On the non-existence of simple congruences for quotients of Eisenstein series	2009	Michael Dewar
+	Ramanujan congruences for Siegel modular forms	2009	Michael Dewar Olav K. Richter
+ PDF Chat	Polynomial Gauss sums	2005	Stephen D. Cohen Michael Dewar John Friedlander Daniel Panario Igor E. Shparlinski
+	Distribution of exponential functions with k-full exponent modulo a prime	2004	Michael Dewar Daniel Panario Igor E. Shparlinski

Common Coauthors

Coauthor	Papers Together
M. Ram Murty	11
Hester Graves	10
Igor E. Shparlinski	2
Olav K. Richter	2
Daniel Panario	2
John Friedlander	1
Stephen D. Cohen	1
M. Ram Murty	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A study of the local components of the Hecke algebra mod 𝑙	1982	Naomi Jochnowitz	7
+	Congruences like Ramanujan's for powers of the partition function	1992	Ian Kiming J�rn B. Olsson	6
+	Arithmetic properties of the partition function	2003	Scott Ahlgren Matthew Boylan	6
+ PDF Chat	RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS	2010	Jonah Sinick	5
+ PDF Chat	Non-Existence of Ramanujan Congruences in Modular Forms of Level Four	2011	Michael Dewar	5
+ PDF Chat	Partition congruences and the Andrews-Garvan-Dyson crank	2005	Karl Mahlburg	4
+ PDF Chat	Distribution of the Partition Function Modulo m	2000	Ken Ono	3
+	Note on mod p Siegel modular forms II	2005	Shōyū Nagaoka	3
+	p-adic Aspects of Jacobi Forms	1997	Adriana Sofer	3
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier	3
+ PDF Chat	On congruences of Jacobi forms	2008	Olav K. Richter	3
+	Linear dependence among Siegel modular forms	2000	Cris Poor David S. Yuen	3
+	On mod p properties of Siegel modular forms	2007	Siegfried Böcherer Shōyū Nagaoka	3
+ PDF Chat	The action of the heat operator on Jacobi forms	2008	Olav K. Richter	3
+ PDF Chat	Partitions, Durfee symbols, and the Atkin–Garvan moments of ranks	2007	George E. Andrews	2
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	2
+ PDF Chat	Relations Between the Ranks and Cranks of Partitions	2003	A. O. L. Atkin Frank G. Garvan	2
+	On the congruence of modular forms	1987	Jacob Sturm	2
+ PDF Chat	M_2-rank differences for partitions without repeated odd parts	2009	Jeremy Lovejoy Robert Osburn	2
+	CONGRUENCES FOR MODULAR FORMS OF NON-POSITIVE WEIGHT	2008	Yaim Cooper Nicholas Wage IRENA WANG	2
+	Generalized Frobenius partitions	1984	George E. Andrews	2
+	A tameness criterion for Galois representations associated to modular forms (mod p)	1990	Benedict H. Gross	2
+	The overpartition function modulo small powers of 2	2004	Karl Mahlburg	2
+ PDF Chat	On the explicit construction of higher deformations of partition statistics	2008	Kathrin Bringmann	2
+ PDF Chat	Partitions weighted by the parity of the crank	2009	Dohoon Choi Soon-Yi Kang Jeremy Lovejoy	2
+ PDF Chat	Congruences for the coefficients of quotients of Eisenstein series	2002	Bruce C. Berndt Ae Ja Yee	2
+	Eulerian series as modular forms	2007	Kathrin Bringmann Ken Ono Robert C. Rhoades	2
+	Congruences for Γ1(4)-modular forms of half-integral weight	2006	Alexandru Tupan	2
+ PDF Chat	Rank generating functions as weakly holomorphic modular forms	2008	Scott Ahlgren Stephanie Treneer	2
+ PDF Chat	Asymptotic Formulaae in Combinatory Analysis	1918	G. H. Hardy S. Ramanujan	2
+	On ℓ-adic representations and congruences for coefficients of modular forms (II)	1977	H. P. F. Swinnerton-Dyer	2
+ PDF Chat	Dyson’s ranks and Maass forms	2010	Kathrin Bringmann Ken Ono	2
+ PDF Chat	Congruences for level four cusp forms	2009	Scott Ahlgren Dohoon Choi Jeremy Rouse	2
+	Rank and Conjugation for a Second Frobenius Representation of an Overpartition	2008	Jeremy Lovejoy	2
+	Character sums with exponential functions	2000	John Friedlander Jan Hansen Igor E. Shparlinski	2
+ PDF Chat	Congruences for Siegel modular forms	2011	Dohoon Choi YoungJu Choie Olav K. Richter	2
+ PDF Chat	Some doubly exponential sums over Z<sub>m</sub>	2002	John Friedlander Sergeĭ Konyagin Igor E. Shparlinski	2
+ PDF Chat	RANK DIFFERENCES FOR OVERPARTITIONS	2007	J. Lovejoy Robert Osburn	2
+	Asymptotic formulae in combinatory analysis	1918	G. H. Hardy S. Ramanujan	2
+	On ℓ-ADIC Representations and Congruences for Coefficients of Modular Forms	2009	H. P. F. Swinnerton-Dyer	2
+	A Study of the Local Components of the Hecke Algebra mod l	1982	Naomi Jochnowitz	2
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	1
+ PDF Chat	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2008	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades	1
+	Note on $\mod p$ Siegel modular forms	2000	Shōyū Nagaoka	1
+	Exceptional Congruences for Powers of the Partition Function	2004	Adrian Dan Stanger	1
+ PDF Chat	Über die Entwicklungskoeffizienten der automorphen Formen	1932	Hans Petersson	1
+	On the Distribution of Diffie--Hellman Triples with Sparse Exponents	2001	John Friedlander Igor E. Shparlinski	1
+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner	1
+	Distribution of the partition function modulo m	2000	Ken Ono	1
+	Ramanujan congruences for a class of eta quotients	2008	Jonah Sinick	1