Paul Pollack

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All published works

Action	Title	Year	Authors
+ PDF Chat	Densities of integer sets represented by quadratic forms	2023	Pete L. Clark Paul Pollack Jeremy Rouse Katherine Thompson
+	On Benford’s law for multiplicative functions	2023	Vorrapan Chandee Xiannan Li Paul Pollack Akash Singha Roy
+	Two problems on the distribution of Carmichael's lambda function	2023	Paul Pollack
+	Densities of integer sets represented by quadratic forms	2023	Pete L. Clark Paul Pollack Jeremy Rouse Katherine Thompson
+	The distribution of intermediate prime factors	2023	Nathan McNew Paul Pollack Akash Singha Roy
+	On the stable reduction of hyperelliptic curves	2022	Cheng Gong Yi Gu Jun Lu Paul Pollack
+	On Benford's Law for multiplicative functions	2022	Vorrapan Chandee Xiannan Li Paul Pollack Akash Singha Roy
+	A problem in comparative order theory	2021	Sergeĭ Konyagin Paul Pollack
+	Powerfree sums of proper divisors	2021	Paul Pollack Akash Singha Roy
+	Joint distribution in residue classes of polynomial-like multiplicative functions	2021	Paul Pollack Akash Singha Roy
+	Distribution mod $p$ of Euler's totient and the sum of proper divisors	2021	Noah Lebowitz-Lockard Paul Pollack Akash Singha Roy
+	A quick route to unique factorization in quadratic orders	2020	Paul Pollack Noah P. Snyder
+	Numbers which are orders only of cyclic groups	2020	Paul Pollack
+	Finite sets containing near-primitive roots	2020	Komal Agrawal Paul Pollack
+	The reciprocal sum of divisors of Mersenne numbers	2020	Zebediah Engberg Paul Pollack
+	Twists of hyperelliptic curves by integers in progressions modulo $p$	2018	David Krumm Paul Pollack
+	Dirichlet’s class number formula	2017	Paul Pollack
+	Back to basics: Starting over with arbitrary number fields	2017	Paul Pollack
+	Ideal theory in general number rings	2017	Paul Pollack
+	A case study: Units in ℤ[√[3]2] and the Diophantine equation 𝕏³-2𝕐³=±1	2017	Paul Pollack
+ PDF Chat	Finiteness of the class group and the arithmetic of \overline{ℤ}	2017	Paul Pollack
+	Prime ideals in quadratic number rings	2017	Paul Pollack
+	Small prime $k$th power residues for $k=2,3,4$: A reciprocity laws approach	2017	Kübra Benli̇ Paul Pollack
+	Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds	2017	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Refinements of Lagrange's four-square theorem	2017	Leo Goldmakher Paul Pollack
+	Typically bounding torsion	2017	Pete L. Clark Marko Milosevic Paul Pollack
+	Pursuing polynomial bounds on torsion	2017	Pete L. Clark Paul Pollack
+	Torsion subgroups of CM elliptic curves over odd degree number fields	2016	Abbey Bourdon Paul Pollack
+	Two problems concerning irreducible elements in rings of integers of number fields	2016	Paul Pollack Lee Troupe
+	An elemental Erdős-Kac theorem for algebraic number fields	2016	Paul Pollack
+	The truth about torsion in the CM case, II	2016	Pete L. Clark Paul Pollack
+	An Easy Generalization of Euler's Theorem on the Series of Prime Reciprocals	2015	Paul Pollack
+	Bounds for the first several prime character nonresidues	2015	Paul Pollack
+	Clusters of primes with square-free translates	2015	Roger C. Baker Paul Pollack
+	Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds	2015	Benjamin Linowitz D. B. McReynolds Paul Pollack Lola Thompson
+	Digitally delicate primes	2015	Jackson Hopper Paul Pollack
+	The truth about torsion in the CM case	2015	Pete L. Clark Paul Pollack
+	Besicovitch, Bisection, and the normality of $0.(1)(4)(9)(16)(25)\dots$	2014	Paul Pollack Joseph Vandehey
+	Arithmetic functions at consecutive shifted primes	2014	Paul Pollack Lola Thompson
+	The average of the first invariant factor for reductions of CM elliptic curves mod $p$	2014	Tristan Freiberg Paul Pollack
+	Bounded gaps between primes in number fields and function fields	2014	Abel Castillo Chris Hall Robert J. Lemke Oliver Paul Pollack Lola Thompson
+	Bounded gaps between primes with a given primitive root, II	2014	Roger C. Baker Paul Pollack
+	Practical pretenders	2012	Paul Pollack Lola Thompson
+	On the degrees of divisors of T^n-1	2012	Paul Pollack Lola Thompson

Common Coauthors

Coauthor	Papers Together
Akash Singha Roy	6
Lola Thompson	6
Pete L. Clark	6
D. B. McReynolds	2
Vorrapan Chandee	2
Jeremy Rouse	2
Xiannan Li	2
Katherine Thompson	2
Roger C. Baker	2
Benjamin Linowitz	2
David Krumm	1
Tristan Freiberg	1
Lee Troupe	1
Abbey Bourdon	1
Noah P. Snyder	1
Jun Lu	1
Sergeĭ Konyagin	1
Marko Milosevic	1
Cheng Gong	1
Komal Agrawal	1
Yi Gu	1
Robert J. Lemke Oliver	1
Chris Hall	1
Noah Lebowitz-Lockard	1
Nathan McNew	1
Kübra Benli̇	1
Leo Goldmakher	1
Zebediah Engberg	1
Jackson Hopper	1
Abel Castillo	1
Joseph Vandehey	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Number Theory, Fourier Analysis and Geometric Discrepancy	2014	Giancarlo Travaglini	2
+	On a claim of Ramanujan in his first letter to Hardy	1999	Pieter Moree J. Cazaran	1
+	Über die Darstellung von positiven, ganzen Zahlen durch die primitiven, binären quadratischen Formen einer nicht-quadratischen Diskriminante	1912	Paul Bernays	1
+	Algebraic Numbers and Algebraic Functions	1967	Emil Artin	1
+	Complex Algebraic Surfaces	1996	Arnaud Beauville	1
+ PDF Chat	A new equidistribution property of norms of ideals in given classes	1977	R. W. K. Odoni	1
+	Two-dimensional lattices with few distances	2006	Pieter Moree Robert Osburn	1
+	Good Reduction of Abelian Varieties	1968	Jean-Pierre Serre John Tate	1
+ PDF Chat	Euclidean quadratic forms and ADC forms II: integral forms	2014	Pete L. Clark William C. Jagy	1
+ PDF Chat	Benford's law, values of L-functions and the 3x+1 problem	2005	Alex Kontorovich Steven J. Miller	1
+	On the stable reduction of pencils of curves	1990	Gang Xiao	1
+ PDF Chat	Uniform bounds for Fourier coefficients of theta-series with arithmetic applications	2004	Valentin Blomer	1
+ PDF Chat	Regular and semi-regular positive ternary quadratic forms	1939	Burton W. Jones Gordon Pall	1
+	On the lang-trotter conjecture	1990	Daqing Wan	1
+	Darstellung durch Spinorgeschlechter ternärer quadratischer formen	1980	Rainer Schulze‐Pillot	1
+ PDF Chat	A Family of Calabi–Yau Varieties and Potential Automorphy II	2011	Tom Barnet-Lamb David Geraghty Michael Harris Richard Taylor	1
+	An Explicit Formula for Local Densities of Quadratic Forms	1998	Tonghai Yang	1
+	New Proofs of Euclid's and Euler's Theorems	2009	Juan Pablo Pinasco	1
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	1
+	Local densities and explicit bounds for representability by a quadratic form	2004	Jonathan Hanke	1
+	Modular Forms and the Chebotarev Density Theorem II	1997	V. Kumar Murty	1
+	Introduction to Quadratic Forms over Fields	2004	T. Y. Lam	1
+	Integral Quadratic Forms.	1961	Ivan Niven G. L. Watson	1
+	La conjecture de Weil. I	1974	Pierre Deligne	1
+ PDF Chat	The Distribution of Leading Digits and Uniform Distribution Mod 1	1977	Persi Diaconis	1
+ PDF Chat	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1990	David A. Cox	1
+	Large character sums: Pretentious characters and the Pólya-Vinogradov theorem	2006	Andrew Granville K. Soundararajan	1
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	1
+ PDF Chat	Chebyshev’s bias for composite numbers with restricted prime divisors	2003	Pieter Moree	1
+ PDF Chat	BENFORD'S LAW FOR THE $3x+1$ FUNCTION	2006	Jeffrey C. Lagarias K. Soundararajan	1
+ PDF Chat	Benford’s law for coefficients of modular forms and partition functions	2010	Theresa C. Anderson Larry Rolen Ruth Stoehr	1
+	Representation by ternary quadratic forms	2014	Robert J. Lemke Oliver	1
+	The Integers Represented by Sets of Ternary Quadratic Forms	1933	A. A. Albert	1
+ PDF Chat	Almost regular quaternary quadratic forms	2008	Jacek Bochnak Byeong-Kweon Oh	1
+	An Extension of a Problem of Kloosterman	1946	Arnold E. Ross Gordon Pall	1
+	Note on the Frequency of Use of the Different Digits in Natural Numbers	1881	Simon Newcomb	1
+	Arithmetic of Quadratic Forms	2010	Goro Shimura	1
+	Arithmetic Progressions and Binary Quadratic Forms	2008	Ayşe Alaca Şaban Alaca Kenneth S. Williams	1
+ PDF Chat	Quelques résultats nouveaux sur les fonctions additives	1971	Hubert Delange	1
+ PDF Chat	Euclidean quadratic forms and ADC forms: I	2012	Pete L. Clark	1
+	A Positive-Definite Ternary Quadratic Form Does Not Represent All Positive Integers.	2017	Greg Doyle Kenneth S. Williams	1
+	Necessary and Sufficient Conditions for Benford Sequences	2013	Siqi Zheng	1
+ PDF Chat	New Proofs of Euclid's and Euler's Theorems	2009	Juan Pablo Pinasco	1
+	Disquisitiones Arithmeticae	1986	Carl Friedrich Gauß	1
+	Quadratic and Higher Degree Forms	2013	Krishnaswami Alladi Manjul Bhargava David Savitt Pham Huu Tiep	1
+	Rational Quadratic Forms	1985	Winfried Scharlau	1
+	Probabilistic Number Theory I	1979	P. D. T. A. Elliott	1