User Mayank Pandey

18 votes

7 answers

6k views

Proofs of the Chevalley-Warning Theorem

asked Aug 12, 2014 at 2:51

14 votes

1 answer

976 views

Szemeredi's theorem in the Gaussian integers

asked Aug 10, 2014 at 4:29

10 votes

1 answer

439 views

Spacing of fractions with prime denominator

asked Jul 10, 2018 at 9:54

7 votes

1 answer

734 views

Major arcs in the proof that every odd number is the sum of at most 5 primes

asked May 9, 2014 at 5:22

6 votes

1 answer

804 views

Probability that a positive integer is in the range of the Euler phi function

asked Aug 3, 2014 at 17:39

6 votes

0 answers

326 views

Explicit bounds for the Mertens function

asked Sep 23, 2018 at 7:07

6 votes

1 answer

207 views

Upper bound on minimum number of prime factors in short intervals

asked Aug 21, 2022 at 2:43

5 votes

1 answer

166 views

Frequency of large values of the Mertens function

asked Sep 1, 2021 at 1:20

5 votes

1 answer

980 views

Reference to "bounds of Weil and Deligne"

asked Sep 25, 2016 at 19:46

5 votes

1 answer

223 views

Locating a certain result on primes represented by a certain polynomial

asked Mar 21, 2017 at 21:56

4 votes

0 answers

258 views

Error term for Vinogradov's three prime theorem

asked Nov 7, 2017 at 5:34

4 votes

0 answers

151 views

Goldbach's problem in algebraic number fields [duplicate]

asked Jul 3, 2015 at 21:50

4 votes

0 answers

161 views

Smoothed Weyl sum inequality

asked Feb 9, 2019 at 8:42

4 votes

1 answer

426 views

Asymptotics for sums of powers of divisor function

asked Mar 5, 2018 at 21:18

4 votes

0 answers

298 views

Effective version of the Bombieri-Vinogradov theorem

asked Oct 25, 2014 at 19:57

4 votes

0 answers

558 views

Best known bounds on certain exponential sums

asked Jun 16, 2015 at 5:43

4 votes

1 answer

1k views

Books on the Hardy-Littlewood circle method

asked Oct 7, 2013 at 5:26

4 votes

1 answer

441 views

Circle method on things other than the integers

asked Apr 17, 2014 at 1:57

4 votes

1 answer

968 views

Smallest prime in an arithmetic progression

asked Aug 14, 2014 at 17:43

4 votes

0 answers

232 views

Lower bound on symmetric square L-function

asked Sep 13, 2020 at 23:51

4 votes

1 answer

327 views

Exponential sum involving floor function

asked Aug 9, 2023 at 23:02

3 votes

1 answer

823 views

Lower bounds on the error term of the prime number theorem

asked Aug 15, 2014 at 19:36

3 votes

2 answers

516 views

Exponential Sum Bound

asked Aug 27, 2014 at 3:15

3 votes

1 answer

219 views

Number of lines of symmetry of a set of lattice points

asked Jun 17, 2015 at 5:31

3 votes

1 answer

215 views

Well-spacing of the roots of a quadratic congruence

asked Dec 31, 2015 at 3:39

3 votes

1 answer

818 views

Sum of Legendre symbol over primes

asked Jun 25, 2018 at 8:10

3 votes

2 answers

406 views

Elementary proof of certain divisor sum idenrity

asked Feb 2, 2018 at 9:03

3 votes

0 answers

283 views

Prerequisites to read Katz's Gauss Sums, Kloosterman Sums, and Monodromy Groups

asked Feb 28, 2018 at 3:56

2 votes

1 answer

97 views

Elaboration of a certain section of a paper by Thanigasalam

asked Jul 28, 2015 at 4:41

2 votes

1 answer

209 views

Moments of certain exponential sum

asked Mar 10, 2018 at 13:03

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50 Questions

Proofs of the Chevalley-Warning Theorem

Szemeredi's theorem in the Gaussian integers

Spacing of fractions with prime denominator

Major arcs in the proof that every odd number is the sum of at most 5 primes

Probability that a positive integer is in the range of the Euler phi function

Explicit bounds for the Mertens function

Upper bound on minimum number of prime factors in short intervals

Frequency of large values of the Mertens function

Reference to "bounds of Weil and Deligne"

Locating a certain result on primes represented by a certain polynomial

Error term for Vinogradov's three prime theorem

Goldbach's problem in algebraic number fields [duplicate]

Smoothed Weyl sum inequality

Asymptotics for sums of powers of divisor function

Effective version of the Bombieri-Vinogradov theorem

Best known bounds on certain exponential sums

Books on the Hardy-Littlewood circle method

Circle method on things other than the integers

Smallest prime in an arithmetic progression

Lower bound on symmetric square L-function

Exponential sum involving floor function

Lower bounds on the error term of the prime number theorem

Exponential Sum Bound

Number of lines of symmetry of a set of lattice points

Well-spacing of the roots of a quadratic congruence

Sum of Legendre symbol over primes

Elementary proof of certain divisor sum idenrity

Prerequisites to read Katz's Gauss Sums, Kloosterman Sums, and Monodromy Groups

Elaboration of a certain section of a paper by Thanigasalam

Moments of certain exponential sum