P. L. Clark

发表

Functional Degrees and Arithmetic Applications I: The Set of Functional Degrees

P. L. Clark, U. Schauz, U. Schauz, 2022, Journal of Algebra.

METRIC SPACES

P. L. Clark, 2015 .

Acyclotomy of torsion in the CM case

P. L. Clark, Marko Milosevic, Michael Chou, 2020, The Ramanujan Journal.

Anatomy of torsion in the CM case

P. L. Clark, P. Clark, P. Pollack, 2016, Mathematische Zeitschrift.

Commutative Algebra

P. L. Clark, P. Clark, 2010 .

Factorization in Integral Domains I

PETE L. CLARK, P. L. Clark, 2009 .

Elliptic Dedekind Domains Revisited

P. L. Clark, 2008, 0805.1082.

MATH 8020 CHAPTER 3: MODULES

P. L. Clark, P. Clark, 2011 .

A Note on rings of finite rank

Pete L. Clark, P. L. Clark, 2016, 1605.01305.

Extending the Zolotarev–Frobenius approach to quadratic reciprocity

P. L. Clark, P. Clark, Adrian Brunyate, 2015 .

Extending the Zolotarev–Frobenius approach to quadratic reciprocity

P. L. Clark, P. Clark, Adrian Brunyate, 2014, The Ramanujan Journal.

Abstract Geometry of Numbers: Linear Forms

P. L. Clark, 2014, 1405.2119.

The number of atoms in a primefree atomic domain

P. L. Clark, P. Pollack, Saurabh Gosavi, 2017 .

The number of atoms in an atomic domain

P. L. Clark, P. Pollack, Saurabh Gosavi, 2015, 1512.05024.

Period-index problems in WC-groups IV: a local transition theorem

P. L. Clark, 2009, 0907.2497.

The period-index problem in WC-groups IV: a local transition theorem

P. L. Clark, 2009 .

The period-index problem in WC-groups II: abelian varieties

P. L. Clark, P. Clark, 2004, math/0406135.

On elementary equivalence, isomorphism and isogeny of arithmetic function fields

P. L. Clark, 2004, math/0406133.

On elementary equivalence , isomorphism and isogeny par

P. L. Clark, 2006 .

On elementary equivalence, isomorphism and isogeny

P. L. Clark, 2006 .

The Euclidean Criterion for Irreducibles

P. L. Clark, 2016, Am. Math. Mon..

8430 HANDOUT 2 : ORDERS , PRE / ALMOST / DEDEKIND DOMAINS , AND THE PICARD GROUP

P. L. Clark, 2008 .

On the indices of curves over local fields

P. L. Clark, P. Clark, 2006, math/0611150.

Period, index and potential, III

P. L. Clark, Shahed Sharif, 2008, 0811.3019.

Algebraic curves uniformized by congruence subgroups of triangle groups

P. L. Clark, J. Voight, 2015, Transactions of the American Mathematical Society.

A Note on Euclidean Order Types

Pete L. Clark, P. L. Clark, 2012, Order.

A Note on Euclidean Order Types

P. L. Clark, 2014, Order.

Covering Numbers in Linear Algebra

Pete L. Clark, P. L. Clark, 2012, Am. Math. Mon..

WILSON’S THEOREM: AN ALGEBRAIC APPROACH

P. L. Clark, P. Clark, 2016 .

The Instructor’s Guide to Real Induction

Pete L. Clark, P. L. Clark, P. Clark, 2012, Mathematics Magazine.

Functional degrees and arithmetic applications II: The Group-Theoretic Prime Ax-Katz Theorem

P. L. Clark, U. Schauz, 2023, 2305.01304.

The Combinatorial Nullstellensätze Revisited

Pete L. Clark, P. L. Clark, 2014, Electron. J. Comb..

Varga's Theorem in Number Fields

Pete L. Clark, Lori D. Watson, P. L. Clark, 2018, Integers.

QUADRATIC FORMS CHAPTER I : WITT ’ S THEORY

P. L. Clark, P. Clark, 2010 .

GALOIS THEORY FOR ARBITRARY FIELD EXTENSIONS

P. L. Clark, 2012 .

COURSE ON MODEL THEORY

PETE L. CLARK, P. L. Clark, P. Clark, 2012 .

There are genus one curves of every index over every infinite, finitely generated field

P. L. Clark, Allan Lacy, A. Lacy, 2014, Journal für die reine und angewandte Mathematik (Crelles Journal).

Torsion points and isogenies on CM elliptic curves

P. L. Clark, Abbey Bourdon, 2019, Journal of the London Mathematical Society.

Pursuing polynomial bounds on torsion

P. L. Clark, P. Pollack, 2018, Israel Journal of Mathematics.

Torsion points and Galois representations on CM elliptic curves

P. L. Clark, Abbey Bourdon, 2016, Pacific Journal of Mathematics.

The truth about torsion in the CM case, II

P. L. Clark, P. Pollack, 2015, 1612.06318.

Torsion points on elliptic curves with complex multiplication

P. L. Clark, P. Clark, Brian Cook, 2009, 0907.2499.

Local Bounds for Torsion Points on Abelian Varieties

P. L. Clark, X. Xarles, 2008, Canadian Journal of Mathematics.

Bounds for torsion on abelian varieties with integral moduli

P. L. Clark, P. Clark, 2004, math/0407264.

Typically bounding torsion

P. L. Clark, P. Pollack, Marko Milosevic, 2017, Journal of Number Theory.

Pursuing polynomial bounds on torsion

P. L. Clark, P. Pollack, 2017, Israel Journal of Mathematics.

Anatomy of torsion in the CM case

P. L. Clark, P. Pollack, Abbey Bourdon, 2015, 1506.00565.

Torsion Points on CM Elliptic Curves Over Real Number Fields

P. L. Clark, P. Clark, James Stankewicz, 2014, 1411.2742.

Densities of integer sets represented by quadratic forms

P. L. Clark, P. Pollack, K. Thompson, 2023, Journal of Number Theory.

The least degree of a CM point on a modular curve

P. L. Clark, P. Pollack, Frederick Saia, 2022, Journal of the London Mathematical Society.

On the Hasse principle for Shimura curves

P. L. Clark, P. Clark, 2005, math/0510239.

A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions

Ioulia N. Baoulina, P. L. Clark, P. Clark, 2017, Proceedings of the American Mathematical Society.

SOLUTION TO THE INVERSE MORDELL-WEIL PROBLEM FOR ELLIPTIC CURVES

P. L. Clark, 2013 .

Commutative Algebra

P. L. Clark, 2021 .

On Zeros of a Polynomial in a Finite Grid

Pete L. Clark, John R. Schmitt, Aditya Potukuchi, 2015, Combinatorics, Probability and Computing.

ABSOLUTE VALUES II : TOPOLOGIES , COMPLETIONS AND THE EXTENSION PROBLEM

P. L. Clark, 2010 .

Euclidean Quadratic Forms and ADC Forms I

P. L. Clark, 2012, 1208.0974.

Chevalley–Warning at the boundary

P. L. Clark, Frederick Saia, Tyler Genao, 2021 .

The Combinatorial Nullstellens\"atze Revisited

Pete L. Clark, P. L. Clark, 2014, 1405.2398.

THUE-VINOGRADOV AND PRIMES OF THE FORM x +Dy

P. L. Clark, P. Clark, 2012 .

THUE-VINOGRADOV AND INTEGERS OF THE FORM x +Dy

P. L. Clark, P. Clark, 2011 .

THUE'S LEMMA AND IDONEAL QUADRATIC FORMS

P. L. Clark, 2010 .

SOME APPLICATIONS OF THUE’S LEMMA

P. L. Clark, P. Clark, 2009 .

THUE’S LEMMA AND BINARY FORMS

P. L. Clark, Axel Thue, M. Hamel, 2009 .

Geometry of Numbers with Applications to Number Theory

Pete L. Clark, P. L. Clark, 2012 .

Euclidean quadratic forms and ADC forms II: integral forms

P. L. Clark, William C. Jagy, 2014 .

COMPUTATION ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION

P. L. Clark, P. Clark, James Stankewicz, 2013, 1307.6174.

QUADRATIC FORMS OVER GLOBAL FIELDS

P. L. Clark, 2012 .

Abelian points on algebraic varieties

P. L. Clark, 2007 .

GEOMETRY OF NUMBERS EXPLAINED

P. L. Clark, 2012 .

Warning’s Second Theorem with restricted variables

John R. Schmitt, P. L. Clark, Aden Forrow, 2016, Combinatorica.

Warning’s Second Theorem with restricted variables

Pete L. Clark, John R. Schmitt, Aden Forrow, 2014, Comb..

CM Elliptic Curves: Volcanoes, Reality and Applications

P. L. Clark, 2022, 2212.13316.

AN "ANTI-HASSE PRINCIPLE" FOR PRIME TWISTS

P. L. Clark, P. Clark, 2006, math/0609465.

On Serre's Complement to Shih's Theorem

P. L. Clark, P. Clark, 2005 .

Galois groups via Atkin-Lehner twists

P. L. Clark, P. Clark, 2005, math/0506490.

Restricted Variable Chevalley-Warning Theorems

Pete L. Clark, Anurag Bishnoi, P. L. Clark, 2022, 2201.11236.

Warning’s second theorem with relaxed outputs

P. L. Clark, 2018, Journal of Algebraic Combinatorics.

Warning’s second theorem with relaxed outputs

P. L. Clark, 2018, Journal of Algebraic Combinatorics.

A simultaneous generalization of the theorems of Chevalley-Warning and Morlaye

P. L. Clark, 2017, 1707.04391.

Fattening up Warning's Second Theorem

P. L. Clark, 2015, 1506.06743.

ALMOST SURE LIMIT SETS OF RANDOM SERIES

P. L. Clark, 2008 .