Representing integers as sums of mixed powers of primes
Fuente:
arXiv
Saved in:
| Main Authors: | Andrade, Geovane Matheus Lemes, Godinho, Hemar |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Waring-Goldbach problems for one square and higher powers
by: Andrade, Geovane Matheus Lemes
Published: (2026)
by: Andrade, Geovane Matheus Lemes
Published: (2026)
On integers with many representations as the sum of $k$th powers of primes
by: Aggarwal, Anay
Published: (2025)
by: Aggarwal, Anay
Published: (2025)
On sums of unequal powers of primes and powers of 2
by: Liu, Yuhui
Published: (2023)
by: Liu, Yuhui
Published: (2023)
More on the sum-product problem for integers with few prime factors
by: Agrawal, Rishika, et al.
Published: (2025)
by: Agrawal, Rishika, et al.
Published: (2025)
Exponential sums over integers without large prime divisors
by: Drappeau, Sary, et al.
Published: (2024)
by: Drappeau, Sary, et al.
Published: (2024)
The sum-product problem for integers with few prime factors
by: Hanson, Brandon, et al.
Published: (2023)
by: Hanson, Brandon, et al.
Published: (2023)
A large integer is a sum of two prime avoiding numbers
by: Radomskii, Artyom
Published: (2022)
by: Radomskii, Artyom
Published: (2022)
Matrix Kloosterman sums modulo prime powers
by: Erdélyi, Márton, et al.
Published: (2022)
by: Erdélyi, Márton, et al.
Published: (2022)
On the representation of large even integers as the sum of eight primes from positive density sets
by: Gao, Meng
Published: (2024)
by: Gao, Meng
Published: (2024)
Diophantine approximation with mixed powers of Piatetski-Shapiro primes
by: Dimitrov, S. I.
Published: (2025)
by: Dimitrov, S. I.
Published: (2025)
The exceptional set for Diophantine inequality with mixed powers of primes
by: Fu, Yu, et al.
Published: (2026)
by: Fu, Yu, et al.
Published: (2026)
The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integer
by: Migliaccio, Alessandra, et al.
Published: (2026)
by: Migliaccio, Alessandra, et al.
Published: (2026)
Arithmetic progressions of integers that are relatively prime to their digital sums
by: Blau, Ryan, et al.
Published: (2023)
by: Blau, Ryan, et al.
Published: (2023)
The prime number theorem over integers of power-free polynomial values
by: Wang, Biao, et al.
Published: (2025)
by: Wang, Biao, et al.
Published: (2025)
On sums of finite subsets of the primes
by: Zhao, Genheng
Published: (2025)
by: Zhao, Genheng
Published: (2025)
On certain sums involving the largest prime factor over integer sequences
by: Bouderbala, Mihoub
Published: (2025)
by: Bouderbala, Mihoub
Published: (2025)
Most integers are not a sum of two palindromes
by: Zakharov, Dmitrii
Published: (2024)
by: Zakharov, Dmitrii
Published: (2024)
On integer partitions and the Wilcoxon rank-sum statistic
by: Sills, Andrew V.
Published: (2024)
by: Sills, Andrew V.
Published: (2024)
On the largest prime factor of integers in short intervals III
by: Li, Runbo
Published: (2026)
by: Li, Runbo
Published: (2026)
Exponential sums over primes are unbounded
by: Bazin, Pierre-Alexandre
Published: (2025)
by: Bazin, Pierre-Alexandre
Published: (2025)
Diophantine equations over the generalized Fibonacci sequences: exploring sums of powers
by: Alvarenga, Roberto, et al.
Published: (2025)
by: Alvarenga, Roberto, et al.
Published: (2025)
Mixed character sums modulo prime powers
by: Cochrane, Todd, et al.
Published: (2026)
by: Cochrane, Todd, et al.
Published: (2026)
Quantitative correlations and some problems on prime factors of consecutive integers
by: Tao, Terence, et al.
Published: (2025)
by: Tao, Terence, et al.
Published: (2025)
The variance of integers without small prime factors in short intervals
by: Gorodetsky, Ofir
Published: (2021)
by: Gorodetsky, Ofir
Published: (2021)
On certain sums over primes and the Riesz function
by: Patkowski, Alexander E.
Published: (2025)
by: Patkowski, Alexander E.
Published: (2025)
Sum of short exponential sums with prime numbers
by: Rakhmonov, Firuz
Published: (2025)
by: Rakhmonov, Firuz
Published: (2025)
Triple convolution sums of the generalised divisor functions and related sums over primes
by: Misra, Bikram, et al.
Published: (2025)
by: Misra, Bikram, et al.
Published: (2025)
Sums of Kloosterman sums over square-free and smooth integers
by: Shao, Xuancheng, et al.
Published: (2024)
by: Shao, Xuancheng, et al.
Published: (2024)
Regularized products of Gauss and Eisenstein integers and primes
by: Krapivsky, P. L., et al.
Published: (2025)
by: Krapivsky, P. L., et al.
Published: (2025)
On a product of three theta functions and the number of representations of integers as mixed ternary sums involving squares, triangular, pentagonal and octagonal numbers
by: Bulkhali, N. A. S., et al.
Published: (2024)
by: Bulkhali, N. A. S., et al.
Published: (2024)
Shifted bilinear sums of Salié sums and the distribution of modular square roots of shifted primes
by: Shparlinski, Igor E., et al.
Published: (2026)
by: Shparlinski, Igor E., et al.
Published: (2026)
Exponential sums with polynomials and their applications to primes in sparse sets
by: Guo, Lingyu, et al.
Published: (2025)
by: Guo, Lingyu, et al.
Published: (2025)
Improvements on exponential sums related to Piatetski-Shapiro primes
by: Lu, Li, et al.
Published: (2025)
by: Lu, Li, et al.
Published: (2025)
The characteristic sequence of the integers that are the sum of two squares is not morphic
by: Li, Shuo
Published: (2024)
by: Li, Shuo
Published: (2024)
On the sum of a prime and a square-free number co-prime to any integer with at most two prime factors
by: Lee, Ethan S., et al.
Published: (2025)
by: Lee, Ethan S., et al.
Published: (2025)
Three integers whose sum, product and the sum of the products of the integers, taken two at a time, are perfect squares
by: Choudhry, Ajai
Published: (2025)
by: Choudhry, Ajai
Published: (2025)
Sums of eight fourth power of primes
by: Qu, Yang, et al.
Published: (2025)
by: Qu, Yang, et al.
Published: (2025)
$p$-adic valuation of harmonic sums and their connections with Wolstenholme primes
by: Carofiglio, Leonardo, et al.
Published: (2023)
by: Carofiglio, Leonardo, et al.
Published: (2023)
Bounds for moments of quadratic Dirichlet character sums of prime moduli
by: Zhao, Yuetong
Published: (2024)
by: Zhao, Yuetong
Published: (2024)
The sum of a prime power and an almost prime
by: Johnston, Daniel R., et al.
Published: (2025)
by: Johnston, Daniel R., et al.
Published: (2025)
Similar Items
-
Waring-Goldbach problems for one square and higher powers
by: Andrade, Geovane Matheus Lemes
Published: (2026) -
On integers with many representations as the sum of $k$th powers of primes
by: Aggarwal, Anay
Published: (2025) -
On sums of unequal powers of primes and powers of 2
by: Liu, Yuhui
Published: (2023) -
More on the sum-product problem for integers with few prime factors
by: Agrawal, Rishika, et al.
Published: (2025) -
Exponential sums over integers without large prime divisors
by: Drappeau, Sary, et al.
Published: (2024)