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Bounded Gaps Between Primes in Multidime...

Thorner, Jesse...

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Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems by Thorner, Jesse ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	15-09-2015
Summary	Using Duke's large sieve inequality for Hecke Gr{ö}ssencharaktere and the new sieve methods of Maynard and Tao, we prove a general result on gaps between primes in the context of multidimensional Hecke equidistribution. As an application, for any fixed 0<ϵ<12, we prove the existence of infinitely many bounded gaps between primes of the form p=a2+b2 such that \|a\|<ϵp–√. Furthermore, for certain diagonal curves C:axα+byβ=c, we obtain infinitely many bounded gaps between the primes p such that \|p+1−#C(Fp)\|<ϵp–√.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1509.04378

Citation

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AMA 11th EditionReferences

Thorner, Jesse. Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems. N.A. September 15, 2015. Accessed August 14, 2025. https://online.provdatabase.com/cite/18979

APA 7th EditionReferences

Thorner, Jesse. (2015). Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems. N.A. https://online.provdatabase.com/cite/18979

Chicago 17th EditionReferences

Thorner, Jesse. Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems. N.A. 2015. https://online.provdatabase.com/cite/18979

HarvardReferences

Thorner, Jesse. (2015). Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18979. (Accessed 14 August 2025).

Harvard AustraliaReferences

Thorner, Jesse, 2015, Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems, N.A, viewed 14 August 2025, <https://online.provdatabase.com/cite/18979>

MLA 9th EditionWorks Cited

Thorner, Jesse. Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18979.

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